Literature Review - Filtered Rayleigh Scattering

The list also includes papers on related topics, e g molecular kinetic models and Mie scattering techniques. The articles are sorted chronologically with the last name of the first author used as a secondary sorting criterion for articles published the same year.

 

Wang Chang, C S, Uhlenbeck, G E, de Boer, J, "The heat conductivity and viscosity of polyatomic gases", Studies in Statistical Mechanics, Vol 2, Part C, Editors: de Boes, J, Uhlenbeck, G E, 1964

This paper discusses how the kinetic theory for monatomic gases can be extended to account for the internal degrees of freedom found in polyatomic gases.

 

Yip, S, Nelkin, M, "Application of a Kinetic Model to Time-Dependent Density Correlations in Fluids", Physical Review A, 135, p 1241, 1964

This article shows how the Mandelstahm-Brillouin triplet is obtained from the BGK kinetic model under different conditions.

 

Sugawara, A, Yip, S, "Kinetic Model Analysis of Light Scattering by Molecular Gases", Physics of Fluids, 10, 9, p 1911, 1967

This article discusses constant-relaxation time kinetic modeling of a fluid as a means of finding its light scattering spectrum. The Morse (1964) model incorporates as well elastic as inelastic collisions modeled using separate collision frequencies or relaxation times. Inelastic collisions are the source of the energy transfer between internal and external energy modes in polyatomic molecules. The deviations from equilibrium are assumed to be small, allowing the equations to be linearized. The paper briefly notes that when fluctuations in temperature and molecular orientation are small, the scattered spectrum will be determined by (the double Fourier transform of) the time-dependent density correlation function G(r,t). The authors found that in the hydrodynamic (low wavelength to mean free path ratio), two temperatures (macroscopic and internal) gave a significantly better fit to experimental data than a single temperature. The experiments used in the comparison used a HeNe laser and CO2 and CH4 near ambient conditions and the deviations in the relative intensities of the Rayleigh and the Brillouin components between the model and the measurements are significant. One source of the differences may be inaccuracies in the applied values of elastic and inelastic collision frequencies.

 

Tenti, G, Boley, C D, Desai, R C, "On the Kinetic Model Description of Rayleigh-Brillouin Scattering from Molecular Gases", Canadian Journal of Physics, 52 (4), 1974

Discussion of a 6-moment model for Rayleigh scattering broadening due to molecular movement and correlation in the kinetic range. This so-called Tenti S6 model is used frequently in later paper to determine the temperature based on an observed scattered light spectrum.

 

Young, A T, "Rayleigh scattering", Physics Today, (1), 1982

Historical discussion on the nomenclature of Rayleigh, Raman and Brillouin lines and on the development of a modern scattering theory primarily developed by Lord Rayleigh.

 

Shimitzu, H, Lee, S A, She, C Y, "High spectral resolution lidar system with atomic blocking filters for measuring atmospheric properties", Applied Optics, 22 (9), 1983

This article is the first to propose use of molecular vapor filters to remotely determine atmospheric temperature, pressure and aerosol content through studying the intensity and spectral composition of the back-scattered laser radiation. Molecular vapor filters offers higher rejection ratios and spectral resolution as well as better temperature stability than interference filters used previously. The article discusses separation of Mie and Rayleigh scattering based on their different bandwidths and supplies more references to papers on kinetic modeling of Rayleigh-Brillouin spectra of gas mixtures than later FRS papers. Based on earlier data, it is suggested that air can be treated as a single-species gas with a molecular weight of 28.8 g for kinetic modeling. It is discussed how a small temperature or pressure change affects the scattered spectrum and how the sign changes for this effect will determine a suitable range over which to integrate the light using tailored absorption filters. Several laser-filter systems are suggested based on a presentation of the factors necessary to consider in picking a suitable system. Since the article was written before the advent of the affordable Nd:YAG laser, alexandrite and dye lasers are suggested along with filters utilizing barium, rubidium, cesium and lead atomic absorption lines. A procedure to calculate atmospheric properties based on the measurements is presented and some sample calculations are carried out to demonstrate the potential performance of a dye laser/barium filter system. The authors also present some I2 filter transmission curves obtained experimentally.

Miles, R B, Lempert, W R, Forkey, J, "Instantaneous velocity fields and background suppression by filtered Rayleigh scattering", AIAA-91-0357, 29th Aerospace Sciences Meeting, Reno, NV, 1991

This article offers a good introduction with a brief discussion of Rayleigh-Brillouin scattering and how iodine cells can be used for background scatter suppression as well as the effects that the gas temperature and pressure has on the scattering spectrum. A few images of a M=2.5 boundary layer flow are used to illustrate the effect of varying the frequency of the incident laser light across the absorption range of the iodine cell are included. The authors favor using the 50% transmission point to determine the lines of constant velocity while minimizing any effects of non-uniform gas temperature and pressure.

 

Elliott, G S, Samimy, M, Arnette, S A, "Details of a Molecular Filter-Based Velocimetry Technique", AIAA-94-0490, 32nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1994

Shear layer between M=2 and 3 layers in dry air

Step-by-step description on how to set up FRS experiment

Temperature and pressure dependency of I2 filter profile

 

Fabelinskii, I L, "Spectra of molecular light scattering and some of their applications", Physics - Uspekhi, 37 (9), p 821, 1994

This Russian article offers an in-depth discussion of Rayleigh-Brillouin scattering in solids as well as in fluids.

 

Komine, H, Brosnan, S J, Long, W H, Stappaerts, E A, "Doppler Global Velocimetry - Development of a Flight Research Instrumentation System for Application to Non-Intrusive Measurement of the Flow Field", NASA CR-191491, Hampton, VA, 1994

A DGV system for use on the F-18 HARV aircraft is designed and its expected performance is discussed. Different combinations of lasers and molecular or atomic vapors are discussed and Nd:YAG+I2 is found to be the best combination at present. Laboratory experiments for measuring the velocity profile of a subsonic jet with a 3x3 inch exit area and nominal exit velocities of 70, 100, 125 and 150 ms-1 were carried out and DGV data was compared to Pitot data. The DGV system tested used a custom-built seeded Nd:YAG laser producing 20 mJ per pulse at 532 nm and being controlled by changing the seed laser frequency until minimum build-up time is achieved in the host cavity. The laser frequency was monitored using a separate unit with an absorption vapor filter and two photodiodes. Several different CCD cameras were evaluated for the image collection, but for the jet experiments simple RS-170 interlaced CCD cameras were used. One camera was used unfiltered, while the other camera observed the light passed through the iodine filter. LDA data acquired for the subsonic jet were discarded due to problems of achieving flow-tracking seeding. Since the seeding was introduced in the jet flow and not in the entrained ambient air, the data quality decreased towards the outer edge of the jet mixing layer. Near the center of the jet, DGV and Pitot measurements showed excellent agreement, even though the noise in the DGV data was significant (RMS 30 m/s at the mean velocity 150 m/s). It is unknown to what extent this large noise - to be compared to 1% in Pitot measurements, is an actual effect of turbulent flow rather than just a statistical scatter in the DGV measurements. The DGV mean velocity deviated at most by 4% from the Pitot data. In order to make the DGV data comparable to the lower-resolution Pitot measurements, spatial as well as temporal averaging was employed. The large noise caused by the low light intensity at the outer edge of the jet was removed from the ratio image between the two cameras through subtracting a smoothened ratio image from the raw one (essentially a high-frequency filter). This reduced the ratio image noise to 2.5%, which can be compared to the individual images that had RMS levels of over 3%. This shows that the images are correlated at high frequencies, i e that the overlap is good. Using 3x3 pixel spatial averaging it was reduced to 1.2%, while temporal averaging over 10 images gave 0.8% noise RMS. Combining the two averaging techniques brought the noise level down to 0.5%. The dominant noise source was found to be video noise of the cameras and the validated accuracy was stated to be 2%. To reduce image distortions, it was found that vapor cells with windows attached with optical contacting techniques are better than those with fused windows. Due to the Mie particle scattering efficiency dependency on polarization, it is important to consider the transmission ratio of the beamsplitter in the image acquisition system for different polarizations. The study also identified laser and ALF candidates that may be suitable for DGV in the future. Potential lasers include Nd:YAG/YLF/YAP, Ti:Sapphire and Alexandrite lasers that could be combined with I2, Cs or Rb and Rb, respectively. Two basic laser/camera arrangements are introduced for 3D DGV, called R3 and L3. The R3 configuration uses a single laser sheet imaged from three different directions, while the L3 configuration uses three different laser sheets viewed by three cameras along a single optical axis. A potential arrangement of lasers and cameras for the F-18 testbed was simulated and the measurement errors estimated. The paper concludes with an estimate of the required scatterer density required to achieve a prescribed signal-to-noise ratio (and corresponding velocity uncertainty) for different ambient light conditions.

 

Miles, R, Lempert, W, Forkey, J, Finkelstein, N, Erbland, P, "Quantifying high speed flows by light scattering from air molecules", AIAA-94-2230, 25th AIAA Fluid Dynamics Conference, Colorado Springs, CO, 1994

This paper offers an overview of Rayleigh and Raman scattering in flows as measurement techniques of the future, complementing PLIF, as well as of the principles of FRS rather than experimental data presentation. An FRS measurement on a Mach 5 overexpanded jet is quoted as having 4% accuracy in velocity and density and 18% accuracy for temperature measurements. The paper discusses how improvements in laser specifications, new narrowband absorption and transmission filters and improved intensified cameras with high linearity and frame rate can enable new Raman-based technologies and improve the quality of Rayleigh measurements through allowing the use of ultraviolet light.

 

Shirinzadeh, B; Jeffrey Balla, R, Hillard, M E, "Quantitative Density Measurements in a Mach 6 Flow Field Using the Rayleigh Scattering Technique", IEEE Publication 95CH3482-7, ICIASF '95, 1995

Pulsed ArF laser used for Mach 6 density measurements in heated Mach 6 tunnel noting good accuracy (c f CFD) and no clusters

Linear photodiode array monitors laser sheet intensity profile during test

 

Forkey, J N, Finkelstein, N D, Lempert, W R, Miles, R B, "Control of experimental uncertainties in filtered Rayleigh scattering measurements", AIAA PAPER 95-0298, 32nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1995

 

Finkelstein, N D, Lempert, W R, Miles, R B, Finch, A, Rines, G A, "Cavity Locked, Injection Seeded, Titanium:Sapphire Laser and Application to Ultraviolet Flow Diagnostics", AIAA 96-0177, 34th AIAA Aerospace Meeting and Exhibit, Reno, NV, 1996

This paper focuses on the description of a new, more efficiently locked Ti:Sapphire laser that has been frequency tripled to 253.7 nm and is used with a mercury vapor filter on a Mach 2 free jet. The new locking method ensures single mode operation even during rapid changes of seed laser wavelength and checks the cavity status before a laser pulse is created rather than afterwards. This is made possible through replacing the conventional minimum build-up time technique with the novel "ramp and lock" technique, which essentially measures the host cavity length before the pump laser is fired. The linewidth of the seeded pulses was found to be 19.5 MHz - the transform limit of the FWHM 22.5 ns pulse length. This may be compared to the 140 MHz cavity mode spacing. The ability of the host cavity to track a seed scan at 300 MHz (UV) per second while retaining single-mode operation was demonstrated. The ability of the laser to handle a discrete step of 5.04 GHz (UV) between two pulses was also demonstrated. The paper also contains a brief discussion of experimental results where CO2 seeding (in Rayleigh range) was used to compensate for the low (1 mJ) pulse energy. The Mach 2 nozzle had an exit diameter of 4.4 mm and was supplied a backpressure of 200 psi, leading to near-perfect expansion to ambient conditions. While the tuning capability of the laser and the selective absorption of the mercury vapor filter was demonstrated in a series of images, quantitative velocity information is not presented in this paper.

 

Meyers, J F, "Application of Doppler Global Velocimetry to Supersonic Flows", AIAA-96-2188, 19th AIAA Advanced Measurement and Ground Testing Technology Conference, New Orleans, LA, 1996

This paper presents the development of a DGV system for measurements in NASA's 1.2x1.2 m supersonic UPWT split into three phases: 1. Does water condensation in the tunnel provide sufficient seeding for DGV? 2. What is the particle lag when the water droplets encounter a sudden air velocity change in the form of an oblique shock wave? 3. Does DGV work on the flow around a delta wing at high angle of attack? The equipment used included a cw Ar+ laser producing a light sheet using galvanometer-driven mirrors that swept the measurement area four times during each 1/60 s RS-170 video camera image acquisition. A dot card introduced in the laser sheet plane was used together with an analog video converter to make sure the filtered and reference images were properly overlapped. Running the tunnel with a sharp-edged flat plate at -15o AoA positioned well downstream of the laser sheet demonstrated that a uniform freestream velocity could be determined and that the seeding in the form of water introduced into the tunnel stagnation chamber, resulted in a sufficient level of scattering. For the second phase of the testing, the oblique plate was moved forward in the windtunnel so that the flow field about the bow shock in a M=2.5 flow could be studied. The particle lag was studied through measuring the velocity along a horizontal line of pixels passing through the shock. The velocity lag was found to be 2 mm, which was larger than expected, possibly due to the MTF of the optical system giving rise to a smoothing of the data. Taking this into consideration, the observed lag is seen to correspond to that expected from 0.5-mm particles. The MTF of the imaging system was measured through taking an image of a sharp step change in brightness. For the third phase of the testing program, the flat plate was replaced by a 75o delta wing. After two laser sheets had been aligned with the dot card and images acquired for later dewarping of the data, the card was removed and the tunnel ran at Mach 2.8. Four velocity components were measured moving the receiving systems around. Depending on the position, the Doppler shift observed was less than 0.5 GHz or more than 1 GHz, requiring different laser frequencies relative to the chosen iodine absorption line to give high-contrast velocity images. Images were acquired with the laser sheet orthogonal to the surface of the wing at the 95% chord position at an angle of attack of 24o. The acquired images provided a high-resolution three-component velocity flow field above the delta wing, but the report does not feature a detailed discussion about the observations that were made or the quality of the data.

 

Seasholtz, R G, "Single-Shot Spectrally Resolved UV Rayleigh Scattering Measurements in High Speed Flow", NASA TM-170323, 8th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 1996

This paper presents a velocity measurement using the fourth harmonic of a Nd:YAG laser and a Fabry-Perot etalon to measure the velocity field in a Mach 1.3 free jet produced by a nozzle with an exit diameter of 9.3 mm. The paper contains a discussion of the relative merits of using the 266 and 532 nm Nd:YAG harmonics. The larger crossection of Rayleigh particles and the smaller reflectivity of windtunnel surfaces in the UV are offset by the lower power available from the laser and the lower efficiency of many lenses and cameras in the UV range. Rather than using an iodine vapor filter, the author uses a Fabry-Perot interferometer to filter the scattered light. A cooled, high-QE CCD camera is used to capture images of the interference fringes produced by the etalon, giving a scattered spectrum at a single point in the flow. The etalon can also be used as a conventional filter to determine the Doppler shift at different positions in the laser sheet. Through combining a reference beam and a Doppler shifted beam and pass them through the same Fabry-Perot etalon, the Doppler shift could be determined while compensating for laser drift. The velocity was measured at three different pressure ratios 15 mm downstream of the nozzle exit using two interference fringes. Velocity information was calculated from the fringe pattern using the Tenti S6 model (y=0.5) for the Rayleigh scattered light. The results show some variation both between the two points and when comparing to isentropic flow calculations. For the single shot measurements, the deviations are approximately 10 m/s +5% and the ten-shot averages show almost as large variations. The deviations seem mostly systematic and using the average of the two fringe measurements significantly improves the results with the mean values being within 2% of the isentropic calculations. The single shot averages show a standard deviation of 8% of the mean and the 10-shot averages 10% at the lowest mean velocity (176 m/s) and about 5% for the higher velocities. Two reasons put forward for the larger standard deviation found at the highest (M=1.3) flow speed is the larger air supply pressure variation and acoustic noise level found in this case. The author also investigated the reflectance of aluminum and stainless steel at 266 nm and 532 nm and found that while the reflectance for steel was reduced significantly (30-50%) through halving the wavelength, aluminum showed no significant change. One problem with working in the UV is the small selection of available imaging optics.

 

Shirinzadeh, B, Jeffrey Balla, R, Hillard M E, "Rayleigh Scattering Measurements in Supersonic Facilities", AIAA 96-2187, 19th AIAA Advanced Measurement and Ground Testing Technology Conference, New Orleans, LA, 1996

This paper is very similar to the 1995 paper by the same authors. It presents quantitative Rayleigh scattering measurements using a pulsed 193 nm, 120 mJ ArF laser in a Mach 6 flow around a 38.1 mm diameter cylinder. The facility allowed air to be heated up to a stagnation temperature of 700K, which led to the elimination of clusters observed earlier in hypersonic flows. Laser intensity variations were monitored using a linear photodiode array, which helped reduce the noise by almost 50% when used in normalization of the signal. Comparisons of the measured densities with CFD results in general showed good agreement, but the Rayleigh data showed a significantly more rapid decrease in the density moving away from the cylinder or the centerline upstream of the cylinder than did the CFD data. This difference is attributed to the poor spatial resolution of the CFD grid away from the cylinder not being able to accurately capture the strong bow shock upstream of the body.

 

Elliott, G S, Mosedale, A, Gruber, M R, Nejad, A S, Carter, C D, "The study of a Transverse Jet in a Supersonic Cross-Flow Using Molecular Filtered Based Diagnostics", AIAA 97-2999, 33rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Seattle, WA, 1997

Measuring velocity in sonic jet injected into M=1.98 crossflow using retro-reflected laser light and pressure-broadened iodine cell

Compared streamwise velocities and turbulence levels with circular and elliptical jets

 

Erbland, P J, Baumgartner, M L, Yalin, A P, Etz, M R, Muzas, B, Lempert, W R, Smits, A J, Miles, R B, "Development of Planar Diagnostics for Imaging Mach 8 Flowfields Using Carbon Dioxide and Sodium Seeding", AIAA 97-0154, 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1997

A Mach 8 flat plate boundary layer is imaged using CO2 seeding to increase the Rayleigh signal. It is mentioned that high Mach number flows are often studied at stagnation temperatures high enough to eliminate liquefaction of the air, but not condensation of water vapor. These droplets or crystals lead to Rayleigh signals frequently overwhelming any signal from the air molecules, resulting in over-estimates of the air density. The seeding is also temperature dependent, revealing the presence of warm boundary layers and heating shock waves, which is utilized in this paper. Using CO2 rather than H20 for seeding was motivated by its smaller (one seventh) heat of condensation, leading to a smaller impact on the temperature of the air flow. CO2 would also condense at a lower temperature, leading to a later droplet formation and smaller particles more likely to be in the Rayleigh range. Smaller particles would also react more rapidly to changes in gas temperature than larger particles. Though no sizing is carried out, the particles are quoted as having a diameter of less than 100 nm based on a reference to a paper by Hill. The laser employed is an injection seeded Nd:YAG 532 nm laser with a pulse energy of 285 mJ and a linewidth of 150 MHz. Rayleigh measurements are carried out using a single intensified CID camera with a 210 mm/4.5 lens and an iodine vapor filter with a linewidth of ~1 GHz and a minimum transmission of ~10-3. In the presented experiments, the seed/air mass ratio was 0.6%, but the authors suggest that with higher laser power and camera gain, a further reduction by a factor 5-10 is possible. Erosion of the ceramic material used for sealing the seed slot led to early transition of the flow along the centerline. The paper also describes PLIF in the same setup using sodium seeding. No quantitative velocity or density data is given.

 

Forkey, J N, Lempert, W R, Miles, R B, "Corrected and calibrated I2 absorption model at frequency-doubled Nd:YAG laser wavelengths", Applied Optics, 36 (27), 1997

This paper contains a discussion of the iodine absorption spectrum near 532 nm, including the physical background and the influence of cell temperature and length as simulated by a Fortran code. Comparisons with experiments show good agreement, especially after one of the previously found lines is moved slightly in frequency. The model used in the Fortran code has only been validated near 532 nm, but is predicted to work well for the 420-550 nm. The uncertainty in line center positions is estimated at 10 MHz, which is negligible compared to the typical linewidth of 1 Ghz. The shape of the absorption lines can be described by a Voigt profile, which takes all three line-broadening effects into account - natural lifetime linewidth, pressure broadening and thermal broadening. In the present case, the relative importance of these effects with natural lifetime linewidths of the order of 1 MHz, pressure broadening around 10 MHz and thermal broadening of hundreds of MHz, a less computationally demanding Gaussian lineshape was used in the simulation. A comparison carried oout for the major transitions near 532 nm reveled that the differences between a simulation using Voigt and Gaussian profiles were small, amounting to less than 4% transmission deviation (<0.01 absolute) at the line centers. More significant differences were seen in the wings where several lines overlapped and the Gaussian line profile underestimated the absorption by 0.05 or 0.06. Validation experiments were carried out using two low-power cw Nd:YAG lasers with 5 kHz linewidth- one reference laser whose wavelength was kept constant using a feedback loop, and one interrogation laser whose wavelength was scanned to acquire the iodine spectra of interest. The wavelength of the interrogation laser was measured through mixing its light with that of the reference laser and measuring the frequency of the mode beating that resulted using a high-speed photodiode. The output from the interrogation laser was passed through the 252.8 mm 1.0-torr iodine cell being tested and then hit another photodiode. Through this arrangement, the absorption features of the cell could be determined with an uncertainty of 2 MHz in frequency and 0.5% in transmission. The deviations between predicted and measured relative frequency of optically thin absorption lines were found to be ± 0.011 cm-1, or more than twice the uncertainty in the frequency measurements. Hence, the main source of uncertainty is the values of the spectroscopic constants used in the absorption model rather than experimental errors. The differences between measured and calculated linewidths were less than 6% for all lines but one, where the difference was 16%. There was a correlation between overestimating linewidth and underestimating the minimum transmission of a line, suggesting that the error source is still in the model constants. For the three optically thick lines that are suitable candidates for FRS filtering, the agreement between model and measurements was better with errors in line width no larger than 2.1% and maximum flank slope errors of no more than 6%. The model was also tested for different iodine pressures in the 0.47-3.05 torr range in a 98.8 mm cell and was found to qualitatively predict the changes well, even though the absolute errors grew larger at large pressures. The minimum transmission values of the lines were also measured for the different iodine pressures. While the transmissions were of the right order of magnitude, the model tended to underestimate the minimum transmission of the thick lines by a factor e0.4-e1.5. The difference is larger the larger the well depth, possibly hinting shortcomings background light suppression in the experiment.

 

Lempert, W R, Wu, P-F, Miles, R B, "Filtered Rayleigh scattering measurements using a MHz rate pulse-burst system", AIAA 97-0500, 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno NV, 1997

This paper contains a measurement of the iodine cell absorption and a comparison to the Forkey model predictions. The minimum transmission at 18788.5 cm-1 was found to be 5.10-5 (10 cm cell at TI2=313K) compared to the model prediction of 1.5.10-5. This was considered to be within the uncertainty bounds based on the potential deviations in iodine molecule number density and crossection. This is in contrast to the measurements by Seasholtz et al, probably due to the different setups for producing high-energy Nd:YAG 532 nm pulses. In the Lempert et al setup, a pulse-train of up to 100 pulses separated by microseconds was produced starting with a CW laser with a high degree of spectral purity. The authors also mention that in previous studies they have carried out using commercial injection-seeded lasers, the ratio between predicted and observed transmission was on the order of 1000. The setup was used for investigating a M=2.5 boundary layer on 14o wedge attached to the windtunnel wall. To increase the signal level, the flow was seeded with gaseous CO2 that condensed into particles with a diameter of the order of 100 nm. This was necessary since the 532 nm pulse energy was only approximately 1 mJ. 30 images spaced by 2 ms were acquired on a CCD framing camera. The result was temporally resolved shock-boundary layer interactions. The high contrast resulting from the seeding particles only occurring in the cold free-stream and not in the warmer boundary layer, meant that informative images could be acquired even without the iodine cell. Images illustrating the abrupt change in flow velocity over the shock, using the iodine cell for velocity discrimination, were also acquired.

 

Seasholtz, R G, Buggele, A E, "Improvement in Suppression of Pulsed Nd:YAG Laser Light With Iodine Absorption Cells for Filtered Rayleigh Scattering Measurements", NASA TM-113177, 1997

The article describes how an intra-cavity etalon (FSR 35.5 GHz) can reduce stray light produced by the laser in non-seeded modes (FWHM 40 GHz) and how this improves the potential background suppression of the iodine filter. There was also a broadband component attributed to the flashlamp emission and fluorescence of the iodine, which could be reduced by a 10 nm FWHM interference filter. The spectrum of the laser was studied using a 111 GHz free spectral range Fabry-Perot interferometer after it was passed through the iodine vapor cell. A CCD camera was used to collect the concentric ring fringe pattern that was produced by the interferometer. The transmittance of the iodine cell (l=0.2 m, TI2=30oC, pI2=0.46 torr) as a function of the laser wavenumber was plotted and compared to the Forkey model predictions. It was found that the minimum transmittance was as high as 3.10-3, while the predicted minimum transmittance for the line near 18788.44 cm-1 was of the order of 5.10-6 under these conditions.

The problem with the intra-cavity etalon noted in the article is that the etalon pass wavelength tends to drift due to temperature fluctuations, requiring the etalon to be re-aligned in order to ensure proper stray light suppression.

 

Dam, N J, Rodenburg, M, Tolboom, R A L, Stoffels, G G M, Huisman-Kleinherenbrink, P M, ter Meulen, J J, "Imaging of an underexpanded nozzle flow by UV laser Rayleigh scattering", Experiments in Fluids, 24, 1998

This paper presents density measurements in a jet produced by an under-expanded convergent nozzle for stagnation pressures in the range 0.2-0.7 MPa (± 10 kPa stability). An ArF laser giving 90 mJ at 193 nm but no filter was used. A shock-expansion diamond pattern similar to what was expected from simulations and schlieren images was recorded using a CCD camera. Images of ambient air illuminated with the same laser sheet were used for normalization to compensate for laser sheet intensity variation and vignetting. Problems were encountered when the cool, dry air produced through the nozzle from bottles mixed with the damp ambient air and produced condensation of water vapor that drowned the Rayleigh signal in the mixing layer. The measurements produced up to 10% too low maximum and minimum densities compared to calculations. One reason is believed to be that the actual exit stagnation pressure is lower than that measured in the stagnation chamber due to friction losses. Other sources of error included the impact of dust in the gas and water vapor in the entrained flow as well as fluorescence signal produced by O2. These are believed to be small.

 

Meyers, J F, Lee, J W, Fletcher, M T, South, B W, "Hardening Doppler Global Velocimetry Systems for Large Wind Tunnel Applications", NASA AIAA-98-2606, 1998

The paper describes an attempt at making DGV less sensitive to environmental conditions in order to achieve better accuracy under windtunnel conditions. The work has been carried out in a number of very large wind tunnels under subsonic as well as supersonic conditions. The problems addressed included laser speckle noise, pixel-specific camera calibration, laser and iodine cell temperature drift and optical smoothing. The initial accuracy problems that were found as the DGV concept was moved from measuring the velocity of a rotating wheel to a flow over a delta wing were attributed mostly to the inability to perfectly align the reference and filtered images before calculating their ratio. This overlap was found to be required to be attained with subpixel accuracy in order for accurate measurements to be possible. Through the use of a 20x20 dotcard photographed by the camera pair in its data acquisition configuration and bi-linear dewarping of the images, this overlap was achieved. Furthermore, polarization-dependent Mie scattering was made more constant using circularized laser light and laser sheet intensity variation was reduced using a sweeping galvanometer rather than a cylindrical lens. These modifications significantly improved the quality of the collected data and were taken as the start of the development of even more refined measurement techniques. The problems that were addressed at this stage were: camera dark current, stray ambient room light, stray scattered laser light, pixel-to-pixel variations in CCD sensitivity, charge transfer noise, modulation transfer function of collection system, image distortions and field interlacing. In order to improve the signal quality, a pixel-to-pixel (but still linear) calibration for the CCD sensitivity is employed. Since interlaced video cameras were used for the image acquisition, linear interpolation was used to replace the missing lines in each image. A 5x5 top hat filtering kernel with a bandwidth slightly wider than the MTF of the cameras was used to reduce the charge transfer noise without reducing the actual resolution of the acquisition system. In order to monitor laser drift and mode hopping of the 5 W cw Ar+ laser that was used in the experiments, a second optical receiver system was constructed. In order to expand the measurement capabilities to simultaneous acquisition of 3D velocity data, a system was built using six RS-170 video cameras in three receiver pairs observing the target from different angles. To ensure that the mapping was sufficiently accurate to allow evaluation of the velocity field based on these images, a test was carried out with a rotating wheel. Applying the same setup in an open windtunnel demonstrated that misalignment of the images (up to 3 pixels in a single component) due to vibration reduced the data quality. In order to expand the capabilities to unsteady flows, the cw laser was replaced by a pulsed Nd:YAG laser. Furthermore, the iodine vapor cells were installed in insulated boxes to minimizle temperature fluctuations affecting their characteristics during wind tunnel testing. In addition, cursory testing revealed that the starved-cell design also reduced cell ambient temperature sensitivity. In a set of instantaneous windtunnel tests, the dominating issues were laser speckle noise, uneven seeding, iodine cell temperature fluctuation and laser frequency instability. In order to remove the severe laser speckle noise that was encountered when the Nd:YAG laser was used, a spatial median filter was used.

 

Naylor, S, Kuhlman, J, "Accuracy Studies of a Two-Component Doppler Global Velocimeter (DGV)", AIAA 98-0508, 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1998

Error in mean and RMS velocities measured by DGV with an Ar+ laser and an iodine cell were measured using a rotating disk with a maximum speed of 29 ms-1 and the experimental uncertainty were found to be 1-2 ms-1

 

Seasholtz, R G, Greer, Lawrence C III, "Rayleigh Scattering Diagnostic for Measurement of Temperature and Velocity in Harsh Environments", (NASA/TM-1998-206980), AIAA-98-0206, 36th AIAA Aerospace Sciences Exhibit and Meeting, Reno, NV, 1998

Point-wise measurement of temperature and velocity using a CW Ar+ laser, a Fabry-Perot interferometer and an unseeded flow

Measurement of scattered spectrum and application of kinetic gas theory

Good velocity accuracy, but large (30K) bias errors in temperature

 

Smith, M W, "Application of a Planar Doppler Velocimetry System to a High Reynolds Number Compressible Jet", AIAA 98-0428, 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1998

Velocities in axisymnmetric, perfectly expanded M=0.85 jet were studied using seeding with 0.3 mm silica (SPAHS) particles (measured under microscope) in coflow and/or jet and a 30 Hz, 0.1J Nd:YAG laser. It was stated that the seed particles followed the flow well, but no proof or quantification of how well was given.

A reference iodine cell calibrated using a FP etalon was used to monitor the laser frequency during the test using a small fraction of the laser energy. The reference iodine cell was kept at a low temperature in order to ensure high sensitivity of its absorption depending on the laser wavelength. The paper includes a discussion of laser speckle noise, including the importance of large-aperture collection optics and a large CCD chip. It also introduces the concept of a 'gain' file containing data on the sensitivity of each CCD pixel to a certain light level to account for e g vignetting in the collecting optics. No correction was made for the laser sheet spatial intensity variation, but it was mentioned that this effect was removed in the rationing of the filtered and reference images. Images of the scattered light both with and without iodine cell filtering were captured on a shared CCD chip simultaneously. Image alignment between the reference and filtered camera images was achieved through bi-linear warping of the Doppler image based on images taken of pixel-sized dust particles captured in both images simultaneously as the dust passed through the laser sheet. An inaccuracy in the mapping of no more than one-tenth of a pixel was required in order to obtain good quality velocity measurements. A comparison of the mean velocity profile obtained using PDV to Pitot measurements at about 6 diameters downstream of the nozzle exit show fair agreement with PDV overestimating the velocity by up to 50 m/s around 0.5-1 radius from the centerline. Due to the sharp velocity gradient in this region, this velocity difference corresponds to a radial offset of approximately 0.2 radii. In the far flank, 2 radii from the centerline, the PDV data shows a more gradual approach to zero than the Pitot data, suggesting that the Pitot data may not be more reliable than the PDV data.

Elliott, G S, Glumac, N, Carter, C D, "Molecular Filtered Rayleigh Scattering Applied to Combustion and Turbulence", AIAA-99-0643, 37th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 1999

FRS measurements of temperatures in premixed hydrogen-air and methane-air flames were carried out using a 0.65 J Nd:YAG laser, an iodine cell and a single CCD camera. Two photo diodes and a second iodine cell were used to monitor shifts in laser wavelength and intensity. The purpose of the experiments was to demonstrate the feasibility of FRS temperature measurements in larger regions in sooting flames. Comparisons with adiabatic flame temperatures and CARS show a temperature accuracy of ~2% for time-averaged measurements and 8% for instantaneous data. Using spatial 3x3 pixel binning reduces the amplitude by approximately a factor 3, suggesting that photon shot noise is the major source of the fluctuation. PIV was attempted to monitor the velocity field simultaneously with FRS, but there were problems due to the large crossection of the 2.4 mm diameter ceramic seed particles used for PIV saturating FRS images. The velocity shift of the Rayleigh scattered light is negligible since it is collected normal to the primary velocity component and the flow velocities are low compared to the speed of sound. Temperature measurements were carried out in stagnation flow flames and the results were compared to numerical simulations. While there were significant differences (~200K) both at the burner exit (FRS higher) and near the substrate (FRS lower), the quality of the computational simulation is more in doubt than the precision of the FRS measurements.

 

Kihm, K D, Kim, T K, Son, S Y, "Visualization of high-speed gas jets and their airblast sprays of cross-injected liquid", Experiments in Fluids, 27, 1999

Water vapor Rayleigh clusters and injected liquid Mie particles are studied downstream of Laval and convergent nozzles using a 100 mJ Nd:YAG laser. The study was purely qualitative and no filtering (except for a polarizer) was carried out of the scattered radiation. The convergent nozzle had 2.78 mm exit diameter and the Laval nozzle had a 3.12 mm throat and 3.86 mm exit diameter (A/A*=1.53, Mdesign=1.88). For both nozzles, the stagnation pressures 168, 237 and 372 kPa were tested, the first pressure nominally giving Me=0.89 and the higher pressures leading to under-expansion at the design Mach numbers.

Convergent nozzles were found to give better spread and atomization of droplets than a Laval nozzle

 

Mach, J J, Varghese, P L, Jagodzinski, J J, "Diode laser velocity measurements by modulated filtered Rayleigh scattering", 5th International Microgravity Combustion Workshop, May 18-20, Cleveland, OH, 1999

This paper describes how the signal-to-noise ratio of FRS can be improved using modulated light so that an inexpensive, rugged and compact low-power diode laser can be used rather than a more expensive high-power pulsed laser. The presented experiment utilized a NIR diode laser at 780 nm and a rubidium vapor filter. Using heterodyne detection with a lock-in amplifier, the small Rayleigh signal can be detected even in the presence of strong background noise. The modulation of the laser signal can also be used to sweep the laser wavelength rapidly. The laser frequency is monitored during the test through passing a small portion of the beam through a reference rubidium vapor cell. This signal was used to create a feedback loop for stabilizing the laser wavelength to the degree that the frequency fluctuations only amounted to 0.16 ms-1 uncertainty in the measured velocity. Further improvement was deemed possible. The scattered light is split into two legs of which one is fed directly to a photo detector while the other first is passed through a rubidium vapor cell. This setup gave pointwise measurements in a 0.2 mm3 volume. Preliminary measurements were carried out in a supersonic jet seeded with CO2 to increase the signal, but no quantitative data or global uncertainty estimates are given. The laser could also be scanned over several absorption bands in the spectra and then no reference sensor would be required provided that the mean density remained constant during the test.

 

Meyers, J F, Lee, J W, "Investigation of Measurement Errors in Doppler Global Velocimetry", Paper 1999-01-5599, SAE World Aviation Congress and Exposition, San Fransisco, CA, 1999

This paper discusses the sources of error in DGV measurements, specifically errors originating from frequency measurements, camera alignment and image intensity measurements. The frequency measurements are dependent on the iodine cell characteristics - it is necessary to maintain the cell at constant conditions between the calibration and throughout the tests. Furthermore, it is necessary to be able to control pulse-to-pulse fluctuations in laser intensity in order to measure absorption spectra accurately. One source of error in this calibration is noise and non-linearity in the CCD cameras that acquire raw and filtered images during the calibration. In the present test that used 10-bit RS-170 cameras, the actual resolution was found to be 8.5 bits, corresponding to an uncertainty of ± 3 on the 1024-level output scale. The absorption spectrum measurement will be affected by the linewidth of the laser used for the calibration. While an Ar+ laser has a linewidth of 10 MHz, which is enough to resolve the iodine hyperfine spectral structure, the 100 MHz linewidth of a Nd:YAG laser smoothens out these features. The paper also discusses the differences in the frequency control of a CW Ar+ laser and a Nd:YAG laser, where the former uses an intra-cavity etalon that may be temperature expanded or rotated to give a certain passband frequency, the Nd:YAG laser may be controlled using a temperature-dependent CW seed laser. In both lasers, single-mode operation must be verified for each pulse and in tests it was found that even when tuning the Nd:YAG laser in small (20 MHz) steps and waiting for 40s before taking data, the laser frequency had not stabilized. The tuning characteristics (V/GHz) for the laser was determined through measuring the voltage difference between the center of two known iodine absorption maxima. The increased temperature load on an iodine cell in a wind tunnel test environment meant that the temperature regulating circuit was unable to maintain a constant temperature throughout the test. In order to solve this problem, it was found necessary to operate the cell in a starved configuration, where the cell was heated to a temperature significantly above that needed to vaporize all solid iodine in the cell (60oC and 45oC, respectively). This superheating lead to the elimination of a ± 3 ms-1 error encountered previously even under stable laboratory conditions. The paper addresses the uncertainty stemming from poor image overlap and how the perspective needs to be corrected before the image ratios can be calculated. Bilinear interpolation between the dots in a 20x20 pattern was found to provide effective dewarping. Measurements were carried out on a rotating disk viewed from three directions and the precision in the dewarping in a camera pair was found to be better than 0.1 pixels, resulting in negligible velocity uncertainty. Another source of uncertainty is variations in image amplitude that affects one of the two images acquired by the filtered/reference camera pair more than the other. To correct for these effects, flatfield images are acquired of the same target using the measurement camera configuration. This should eliminate effects of dirt on optics as well as interference fringes on the iodine cell etc. Polarization effects of the beamsplitter (even if it is a non-polarizing splitter) can affect the results when Mie scatterers of different size are compared to a flatfield calibration ratio. This may be corrected through polarizing the incident radiation before it reaches the beamsplitter. Another source of error, especially at low light levels, is the quantizing ± 1 bit error introduced in both camera signals. It was noted that using a vellum for flatfield correction of the image pairs led to a bias error in the determined velocity on the rotating wheel that was removed when the wheel itself was used for this correction. Laser speckle noise, which is not removed through normalization, is reduced using spatial median filtering, but it is mentioned that this filtering is significantly more computationally demanding than Gaussian filtering.

 

Shirinzadeh, B, Herring, G C, Barros, T, Demonstration of Imaging Flow Diagnostics Using Rayleigh Scattering in Langley 0.3-Meter Transonic Cryogenic Tunnel, NASA/TM-1999-208970, 1999

This paper presents density measurement carried out along a line using a 80 mW CW Nd:YAG 532 nm laser. Images were acquired using an intensified CCD camera at a frame rate of 30 frames/s giving a peak Rayleigh signal of 28 counts and a background scatter level of 15 counts in a high-contrast run. A second standard video camera was also used to monitor potential clustering during the test. The 0.3 m transonic wind tunnel that was used in the test uses N2 as flow medium. In one of the tests the static temperature was 255K, static pressure 0.43 MPa and Mach number 0.6, but the conditions were varied to obtain 6 different densities. The results 92 data points show a laser signal proportional to flow density and of the right magnitude, but large scatter (mean +100 to -20%). This large scatter is attributed to low signal-to-noise ratio, large laser power fluctuations in the windtunnel environment and digitization noise due to the low signal level. No clustering was found in the flow despite temperatures around 100K, but CO2 condensed on windows at about 225K.

 

Yalin, A P, Miles, R B, "Temperature Measurements by Ultraviolet Filtered Rayleigh Scattering Using a Mercury Filter", Journal of Thermophysics and Heat Transfer, 14 (2), 2000

This paper discusses the application of FRS in the UV using a tripled Ti:Sapphire laser (253.7 nm) along with a photomultiplier tube fitted with a mercury vapor filter to measure the temperature at a point in a gas cell. The laser provides 10 mJ pulses with a linewidth of 200 MHz, which is an order of magnitude smaller than the thermally broadened scattered spectrum and filter linewidth. In order to monitor intensity and frequency fluctuations in the laser light, a second photomultiplier tube fitted with an iodine cell is collecting unscattered laser light and a photodiode collects the unfiltered laser light. An accuracy of about 3% is achieved near ambient conditions and measurements for a weakly ionized argon plasma showed a standard deviation of about 4% (at around 660K). The paper contains a discussion of the characteristics of a mercury vapor filter, a comparison to the iodine cell conventionally used as well as a discussion about how the temperature is determined from the scattered intensity. In a mercury cell, the vapor pressure goes from 0.001 to 20 torr as the temperature is increased from 20 to 200oC. At 0.003 torr, absorption near 100%, a FWHM of 3 GHz and a cutoff frequency range of 1 GHz is achieved for one of the hyperfine lines near 253.5 nm. To obtain a temperature measurement, the laser wavelength is scanned through the range of one absorption line of the filter and the minimum transmission is measured and compared to a model value for the known filter profile and Rayleigh-Brilllouin spectrum under the given conditions. Single-point measurements are possible when the pressure of the gas is known and a normalization with the temperature measurement at the same frequency at a known temperature can be made. The comparison to conventional 532 nm FRS systems show that assuming similar detector efficiency, the systems have similar characteristics since the order of magnitude larger crossection in the UV is compensated for by the larger laser energies available in the visible region. The temperature sensitivity of the filters is determined by the wall steepness of the absorption wells and this is shown to be similar for the iodine and mercury vapor filters. The mercury background suppression is states as being significantly stronger than that of the iodine vapor, which is limited to 105 due to continuum absorption.

 

Dobson, C C, Eskridge, R H, Lee, M H, "Laser transmission measurements of soot extinction coefficients in the exhaust plume of the X-34 60k-lb Fastrac rocket engine", NASA/TP-2000-210075, 2000

This technical memorandum presents a crude measurement of soot concentration in the Mie or Rayleigh regime along four lines through a rocket nozzle exhaust plume. It also contains a discussion on measurement of the extinction coefficient and about particle size independence of total carbon concentration. The experiments employed an Ar+ ion laser with background correction using an optical chopper and filters in front of the photodiodes. The experiments were plagued by high noise levels, drift (temperature-induced?) and poor repeatability.

Herring, G C, Hillard, M E Jr, Flow Visualization by Elastic Light Scattering in the Boundary Layer of a Supersonic Flow, NASA/TM-2000-2010121, 2000

This paper presents Rayleigh scattering density measurements of a Mach 2.5 flow where an impinging shockwave interacts with a boundary layer on a flat plate. The incident light is produced by a Q-switched 532 nm Nd:YAG laser delivering 120 mJ per pulse in the form of a 10 mm wide, 0.2 mm thick light sheet. The light sheet was introduced 12 mm above the flat plate, perpendicular to the surface. The scattered light is collected by an intensified CCD camera. After the windtunnel tests were carried out, a laboratory model mimicking the windtunnel geometry was created to compare the signal levels in ambient condition nitrogen to those found in the windtunnel test. The detected signal was found to be 500 times stronger than anticipated due to unknown impurities condensing in the windtunnel. The scattering intensity was uniform down to the smallest resolved scales (0.3-0.5 mm) suggesting that these clusters must be small. A lengthy discussion is presented where different candidates for the impurity are presented and it is concluded that the most likely source of the extraneous scattering is oil clusters. Based on the expected light levels given the specifications of the light collection equipment, the particles are estimated to be Rayleigh scatterers with a diameter of no more than 86 nm, but it is not completely ruled out that they may be Mie scatterers with diameters of a few micron.

 

Crafton, J, Carter, C D, Elliott, G S, "Three-component phase-averaged velocity measurements of an optically perturbed supersonic jet using multi-component planar Doppler velocimetry", Measurement Science and Technology, 12, 2001

This paper presents the investigation of an underexpanded, ethanol-seeded M=1.34 jet which is perturbed through laser-induced breakdown on the lip of the nozzle. Measurements are carried out using two image acquisition systems, each consisting of two CCD cameras and one iodine vapor cell, acquiring images of the same laser sheet from two different angles to obtain two velocity components. The laser used was a seeded 400 mJ Nd:YAG 532 nm laser and the PixelVision SpectraVideo 512x512 pixel cameras were fitted with 105 mm/2.8 lenses. The two camera pairs acquired images at the same angle relative to the laser sheet to remove any angle dependency of the scattered light and were fitted with one polarizing filter per pair. Through moving the camera pairs around, all three velocity components were measured. During the test, the laser intensity and frequency stability is monitored using two photo diodes and another iodine vapor cell. All iodine vapor cells were operated in the starved, superheated mode and it was verified that their absorption spectrum remained constant over one year. The paper contains an in-depth discussion about how well the camera images can be made to over-lap using dot cards of different designs - provided high signal-to-noise ratio (contrast) and dots of several pixels diameter, a precision exceeding 0.1 pixels and approaching 0.01 pixels can be achieved. A detailed uncertainty analysis for the measured velocities was also carried out, showing laser speckle noise to be the dominant source of error. The total RMS uncertainty was quoted as 17.6 ms-1 which may be compared to the maximum velocity of 410 ms-1. While PDV was found to measure the mean velocity profile of the unperturbed jet accurately (comparing to LDV measurements, ± 10 ms-1), the laser speckle noise led to an overestimation of the potential core RMS velocity (16 ms-1 compared to 6 ms-1). In the outer mixing layer, the mean velocity was too high and the RMS velocity too low; both effects are produced by biasing due to the ethanol seeding preferentially condensing in the cold, high-speed core flow. Flow fields 170 and 220 ms after the introduction of the optical disturbance were measured and showed how the flow was perturbed as the disturbance traveled downstream with a convective velocity of approximately 200 ms-1. The disturbance acts as an obstruction to the flow, which is deflected around the spot.

 

Danehy, P M, Mere, P, Gaston, M J, O'Byrne, S, Palma, P C, Houwing, A F P, "Fluorescence Velocimetry of the Hypersonic, Separated Flow over a Cone", AIAA Journal, 39 (7), 2001

PLIF used in M=7 flow over 30o half-angle cone with velocity determined by Doppler shift of tunable dye laser

PLIF chosen over Rayleigh because of large Mie signal

 

Elliott, G S, Boguszko, M, Carter, C, "Filtered Rayleigh Scattering: Toward Multiple Property Measurements", AIAA 2001-0301, 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 2001

Thorough description of FRS theory and experimental setups for visualizations, thermometry and multi-property measurements

Presents simultaneous FRS measurement of density, velocity and temperature in underexpanded M=1.65 jet, but fairly large (~10%) errors

 

Elliott, G S, Glumac, N., Carter, C D, "Molecular filtered Rayleigh scattering applied to combustion", Measurement Science and Technology, 12, 2001

This paper describes a continuation of the research presented by the same authors in 1999 carried out in a similar setup. Temperature measurement in hydrogen-air and methane air flames using FRS checked against adiabatic equilibrium calculations and CARS (coherent anti-Stokes Raman spectroscopy) measurement and found to give agreement within 2%. The scattering was assumed to be exclusively produced by the dominant species, nitrogen. The non-zero gas velocity introduced an uncertainty in the temperature measurement of only 2K - significantly less than the shot noise uncertainty which reached RMS 180K at f=1. For the stagnation flow measurements, larger uncertainties are found than in the hydrogen-air flame - up to 19% in the unburned reactants area - due to the neglect to include the mixture properties when relating the temperature and the scattered spectrum. For the flame and products regions, the temperature uncertainty is less than 5%. As in the preceding paper, the difference between the measured temperatures from those calculated in a numerical simulation is significant (~200K). The PIV particle saturation of the FRS data was circumvented through replacement of the saturated FRS data points with interpolated temperatures from non-saturated neighboring points.

 

Fox, J S, O'Byrne, S, Houwing, A F P, Papinniemi, A, Danehy, P M, Mudford, N R, "Fluorescence Visualization of Hypersonic Flow Establishment over a Blunt Fin", AIAA Journal, 39 (7), 2001

PLIF visualization of separated transitional boundary layers in a free-piston shock tunnel

 

Miles, R B, Lempert, W R, Forkey, J N, "Laser Rayleigh scattering", Measurement Science and Technology, 12, 2001

This review article contains a thorough presentation of the theory behind Rayleigh and Raman scattering as well as a table over the scattering properties of standard air in the wavelength range 200-1000 nm. It also contains a discussion of the resulting scattered light lineshape under different conditions and the impact of larger (but still Rayleigh-sized) particles in the flow.

 

Miles, R B, Yalin, A P, Tang, Z, Zaidi, S H, Forkey, J N, "Flow field imaging through sharp-edged atomic and molecular 'notch' filters", Measurement Science and Technology, 12, 2001

This paper starts off with a general discussion of available molecular and atomic species and their absorption characteristics, noting that iodine is the strongest candidate, except when very strong background suppression is required. Modeled and measured absorption profiles for I2 (532 nm), Hg (253.7 nm) and Rb (780 nm) are presented. The relative sensitivity of a filter with different scattered spectrum to linewidth ratios for temperature, pressure and velocity measurements is plotted. The paper also shows simultaneous planar measurements of temperature, pressure and velocity in a Mach 2 jet. The measurement uncertainties are quoted as ± 3.2K, ± 38 torr and ± 5.4 ms-1.

 

Wu, P P, Miles, R B, "Megahertz Visualization of Compression-Corner Shock Structures", AIAA Journal, 39 (8), 2001

This paper presents a visualization of shock-boundary layer interactions in a M=2.5 flow subjected to 14o and 24o wedge compressions. The experiments are a continuation of those described in the 1997 paper by Lempert et al, but this time less emphasis is put on the pulse laser system and more on the flow being studied. 30 images were obtained at 0.5 MHz using a Nd:YAG laser giving 25 mJ per pulse (cf 1 mJ in 1997) and an iodine cell, but no quantitative velocity data is given.

 

Fielding, J, Frank, J H, Kaiser, S A, Smooke, M D, Long, M B, "Polarized/Depolarized Rayleigh Scattering for Determining Fuel Concentrations in Flames", Proceedings of the Combustion Institute, 29, 2002 [incomplete]

This paper discusses how depolarized Rayleigh scattering may be an attractive alternative to using Raman scattering for determining fuel concentration in flames simultaneously with acquiring temperature measurements using conventional, polarized Rayleigh scattering. Depolarization is a species-dependent process typically yielding a signal an order of magnitude stronger than Raman scattering for depolarizing molecules. In the present paper methane, a very weak depolarizer, is used in a laminar combustion experiment where different Rayleigh components are acquired using polarizing filters. The fuel concentration is determined using the known efficiency of the polarizing filters and the depolarization ratios of the fuel, air and the products. Calibration measurements were carried out to determine the depolarizing ratio of the major species at the 532 nm Nd:YAG laser wavelength used in the experiment. The laser power was 260 mJ/pulse and the images were collected using a single CCD camera fitted with a 50 mm/1.4 lens, a sheet polarizer and a 10 nm FWHM interference filter. The temperature impact on the depolarizing ratio is estimated at only 2% per 1000K. The signal-to-noise ratio of the depolarized Rayleigh signal was ~10. The authors conclude that this is a promising technique, especially for fuels with a small depolarizing ratio diluted in noble gases as long as the effect of broadband fluorescence is kept under control.

 

Herring, G C, Shirinzadeh, B, Flow Visualization of Density in a Cryogenic Wind Tunnel Using Planar Rayleigh and Raman Scattering, NASA/TM-2002-211630, 2002

Visualization of pulsed separation in M=0.2 flow

Unseeded and CO2 seeded Rayleigh scattering compared to N2 0-1 vibrational Raman scattering showing that both techniques are feasible, but that unseeded flow gives low signal-to-noise ratio

 

Pan, X, Shnieder, M N, Miles, R B, "Coherent Rayleigh-Brillouin Scattering", Physical Review Letters, 89 (18), 2002

This paper describes how a setup with two broadband pump Nd:YAG lasers and a third, injection-seeded probe Nd:YAG laser can be used to excite and probe density fluctuations in a scattering medium, providing information about the Rayleigh-Brillouin spectrum produced by the medium. This information can provide pointwise pressure and temperature data after the produced radiation has been analyzed using a Fabry-Perot interferometer. A kinetic theory that explains why the observed spectra are different from that of spontaneous Rayleigh-Brillouin scattering is presented and verified experimentally.

 

Kearney, S P, Beresh, S J, Grasser, T W, Schefer, R W, Schrader, P E, Farrow, R L, "A filtered Rayleigh scattering apparatus for gas-phase and combustion temperature imaging", AIAA 2003-584, AIAA 41st Aerospace Sciences Meeting and Exhibit, Reno, NV, 2003.

This Sandia paper describes an FRS setup used to measure the temperature fields in premixed and diffusion flames. The setup uses a 1100 mJ seeded Nd:YAG laser along with two iodine cells - one for filtering the acquired image and one for monitoring the laser frequency drift. Intensity measurements are carried out using photodiodes and boxcar integrators to quantify the frequency and intensity stability of the laser and a single intensified CCD camera for the actual data acquisition. Comparisons have been made with the adiabatic flame temperature and CARS measurements for a range of different equivalence ratios for the premixed flame.It was found that near stoichometric conditions, 0.9<f<1.2, CARS and FRS agree to within 50K, while FRS tended to indicate about 75K higher temperature than CARS for fuel-rich mixtures. CARS measured about 40K lower temperature than the adiabatic flame temperature throughout the studied mixture range 0.9<f<1.4. The relative success of FRS in this experiment was attributed to the well-known, constant chemical composition in the post-reaction zone area studied in the premixed flame experiment. The paper discusses the importance of knowing the local chemical composition due to the different Rayleigh crossections of different species in order to accurately determine the temperature using FRS and how this may cause problems in diffusion flames. The methane diffusion flame experiments were carried out using CARS at sea-level and FRS combined with Raman scattering for fuel concentration measurements at an altitude of 1650 m. The density difference resulted in two slightly different flame sizes meaning that the experiments were not directly comparable. They do however show very similar qualitative trends and the differences observed can mostly be explained as results of the different experimental conditions and short-comings of the Rayleigh crossection estimates. FRS indicates a lower peak temperature by 52-122 K at the three streamwise stations studied and also suggest a co-flow temperature about 100K higher than CARS.

The use of a single camera in this paper suggests that the point-to-point variation in intensity in the laser beam may not be significant enough to warrant a correction on a pixel-by-pixel basis of the image data. Furthermore, the experiments were carried out while the laser shift was being monitored, but the fluctuations were found to be so small that in the data analysis this shift (smaller than the laser linewidth) was not considered. Images acquired while the laser Q-switch build-up time was found exceptionally large, i e when the seeding was considered not to be operating properly, were discarded. The authors do mention the issue of iodine cell saturation at high laser intensities and use beam expansion and neutral density filters to eliminate this problem.

 

Compiled by Jonas Gustavsson 2003

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