Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model

Lei Wu, Jason M. Reese, Yonghao Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

2 Citations (Scopus)

Abstract

The Rayleigh-Brillouin spectrum of light scattered by gas density fluctuations contains information about the gas temperature. This information can be retrieved by comparing experimentally measured spectra with theoretical line shapes determined from the linearized Boltzmann equation. However, the linearized Boltzmann equation is difficult to solve so Tenti's S6 kinetic model has been widely used for several decades because of its simplicity. In this paper, the linearized Boltzmann equation is solved by the efficient fast spectral method, and the temperature retrieval error associated with the Tenti's S6 model is systematically investigated for both spontaneous and coherent Rayleigh-Brillouin scattering, for different gas rarefaction and intermolecular potentials. Our results indicate useful calibrations for laser technologies that use Rayleigh-Brillouin scattering to profile for gas temperatures with high accuracy.
LanguageEnglish
Title of host publication30th International Symposium on Rarefied Gas Dynamics
EditorsAndrew Ketsdever, Henning Struchtrup
Number of pages7
Volume1786
DOIs
Publication statusPublished - 15 Nov 2016
Event30th International Symposium on Rarefied Gas Dynamics - University of Victoria, Victoria BC, Canada
Duration: 10 Jul 201615 Jul 2016
https://conferences.uvic.ca/index.php/rgd/RGD30

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference30th International Symposium on Rarefied Gas Dynamics
CountryCanada
CityVictoria BC
Period10/07/1615/07/16
Internet address

Fingerprint

retrieval
gas temperature
kinetics
scattering
rarefaction
spectral methods
gas density
temperature
line shape
profiles
gases
lasers

Keywords

  • Rayleigh-Brillouin spectrum
  • light scattering
  • gas density fluctuations
  • gas temperature
  • Boltzmann equations
  • Tenti’s S6 kinetic model
  • gas rarefaction
  • visible spectra
  • atomic line shapes
  • calibration

Cite this

Wu, L., Reese, J. M., & Zhang, Y. (2016). Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. In A. Ketsdever, & H. Struchtrup (Eds.), 30th International Symposium on Rarefied Gas Dynamics (Vol. 1786). [040010] (AIP Conference Proceedings). https://doi.org/10.1063/1.4967548
Wu, Lei ; Reese, Jason M. ; Zhang, Yonghao. / Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. 30th International Symposium on Rarefied Gas Dynamics. editor / Andrew Ketsdever ; Henning Struchtrup. Vol. 1786 2016. (AIP Conference Proceedings).
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title = "Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model",
abstract = "The Rayleigh-Brillouin spectrum of light scattered by gas density fluctuations contains information about the gas temperature. This information can be retrieved by comparing experimentally measured spectra with theoretical line shapes determined from the linearized Boltzmann equation. However, the linearized Boltzmann equation is difficult to solve so Tenti's S6 kinetic model has been widely used for several decades because of its simplicity. In this paper, the linearized Boltzmann equation is solved by the efficient fast spectral method, and the temperature retrieval error associated with the Tenti's S6 model is systematically investigated for both spontaneous and coherent Rayleigh-Brillouin scattering, for different gas rarefaction and intermolecular potentials. Our results indicate useful calibrations for laser technologies that use Rayleigh-Brillouin scattering to profile for gas temperatures with high accuracy.",
keywords = "Rayleigh-Brillouin spectrum , light scattering, gas density fluctuations, gas temperature, Boltzmann equations, Tenti’s S6 kinetic model, gas rarefaction, visible spectra, atomic line shapes, calibration",
author = "Lei Wu and Reese, {Jason M.} and Yonghao Zhang",
note = "This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Wu, L., Reese, J. M., & Zhang, Y. (2016). Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. In A. Ketsdever, & H. Struchtrup (Eds.), 30th International Symposium on Rarefied Gas Dynamics. (Vol. 1786). [040010] (AIP Conference Proceedings). AIP Publishing; and may be found at http://dx.doi.org/10.1063/1.4967548.",
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Wu, L, Reese, JM & Zhang, Y 2016, Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. in A Ketsdever & H Struchtrup (eds), 30th International Symposium on Rarefied Gas Dynamics. vol. 1786, 040010, AIP Conference Proceedings, 30th International Symposium on Rarefied Gas Dynamics, Victoria BC, Canada, 10/07/16. https://doi.org/10.1063/1.4967548

Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. / Wu, Lei; Reese, Jason M.; Zhang, Yonghao.

30th International Symposium on Rarefied Gas Dynamics. ed. / Andrew Ketsdever; Henning Struchtrup. Vol. 1786 2016. 040010 (AIP Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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N1 - This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Wu, L., Reese, J. M., & Zhang, Y. (2016). Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. In A. Ketsdever, & H. Struchtrup (Eds.), 30th International Symposium on Rarefied Gas Dynamics. (Vol. 1786). [040010] (AIP Conference Proceedings). AIP Publishing; and may be found at http://dx.doi.org/10.1063/1.4967548.

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N2 - The Rayleigh-Brillouin spectrum of light scattered by gas density fluctuations contains information about the gas temperature. This information can be retrieved by comparing experimentally measured spectra with theoretical line shapes determined from the linearized Boltzmann equation. However, the linearized Boltzmann equation is difficult to solve so Tenti's S6 kinetic model has been widely used for several decades because of its simplicity. In this paper, the linearized Boltzmann equation is solved by the efficient fast spectral method, and the temperature retrieval error associated with the Tenti's S6 model is systematically investigated for both spontaneous and coherent Rayleigh-Brillouin scattering, for different gas rarefaction and intermolecular potentials. Our results indicate useful calibrations for laser technologies that use Rayleigh-Brillouin scattering to profile for gas temperatures with high accuracy.

AB - The Rayleigh-Brillouin spectrum of light scattered by gas density fluctuations contains information about the gas temperature. This information can be retrieved by comparing experimentally measured spectra with theoretical line shapes determined from the linearized Boltzmann equation. However, the linearized Boltzmann equation is difficult to solve so Tenti's S6 kinetic model has been widely used for several decades because of its simplicity. In this paper, the linearized Boltzmann equation is solved by the efficient fast spectral method, and the temperature retrieval error associated with the Tenti's S6 model is systematically investigated for both spontaneous and coherent Rayleigh-Brillouin scattering, for different gas rarefaction and intermolecular potentials. Our results indicate useful calibrations for laser technologies that use Rayleigh-Brillouin scattering to profile for gas temperatures with high accuracy.

KW - Rayleigh-Brillouin spectrum

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KW - gas density fluctuations

KW - gas temperature

KW - Boltzmann equations

KW - Tenti’s S6 kinetic model

KW - gas rarefaction

KW - visible spectra

KW - atomic line shapes

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T3 - AIP Conference Proceedings

BT - 30th International Symposium on Rarefied Gas Dynamics

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A2 - Struchtrup, Henning

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Wu L, Reese JM, Zhang Y. Temperature retrieval error in Rayleigh-Brillouin scattering using Tenti’s S6 kinetic model. In Ketsdever A, Struchtrup H, editors, 30th International Symposium on Rarefied Gas Dynamics. Vol. 1786. 2016. 040010. (AIP Conference Proceedings). https://doi.org/10.1063/1.4967548