Exact relativistic expressions for polarization of incoherent Thomson scattering
Abstract
We present a derivation of the degree of polarization for incoherent Thomson scattering (TS) using Mueller matrix formalism. An exact analytic solution is obtained for spectrum-integrated matrix elements. The solution is valid for the full range of incident polarizations, scattering angles, and electron thermal motion from non-relativistic to ultra-relativistic. It is based on a newly developed theoretical model, a finite transit time (FTT) correction to previous theoretical work on TS polarization. The Mueller matrix elements are substantially different from previous calculations without the FTT correction, even to the lowest linear order in Te=mec2 <<1. Mathematically, the derivation is a unique example of fully analytical integration of the 3D scattering operator over a relativistic Maxwellian distribution function; experimentally, the results have application to the use of the polarization properties of Thomson scattered light as a method of electron temperature measurement. The results can also be used as a reliable tool for benchmarking and verification of numerical codes for frequency resolved properties of TS polarization.
- Authors:
-
- Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics and the Center for Magnetic Self-Organization in Lab. and Astrophysical Plasmas
- Univ. of California, Los Angeles, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1471066
- Alternate Identifier(s):
- OSTI ID: 1252263
- Grant/Contract Number:
- FG02-85ER53212; FC02-05ER54814
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 5; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Mirnov, V. V., Den Hartog, D. J., and Parke, E. Exact relativistic expressions for polarization of incoherent Thomson scattering. United States: N. p., 2016.
Web. doi:10.1063/1.4948488.
Mirnov, V. V., Den Hartog, D. J., & Parke, E. Exact relativistic expressions for polarization of incoherent Thomson scattering. United States. https://doi.org/10.1063/1.4948488
Mirnov, V. V., Den Hartog, D. J., and Parke, E. 2016.
"Exact relativistic expressions for polarization of incoherent Thomson scattering". United States. https://doi.org/10.1063/1.4948488. https://www.osti.gov/servlets/purl/1471066.
@article{osti_1471066,
title = {Exact relativistic expressions for polarization of incoherent Thomson scattering},
author = {Mirnov, V. V. and Den Hartog, D. J. and Parke, E.},
abstractNote = {We present a derivation of the degree of polarization for incoherent Thomson scattering (TS) using Mueller matrix formalism. An exact analytic solution is obtained for spectrum-integrated matrix elements. The solution is valid for the full range of incident polarizations, scattering angles, and electron thermal motion from non-relativistic to ultra-relativistic. It is based on a newly developed theoretical model, a finite transit time (FTT) correction to previous theoretical work on TS polarization. The Mueller matrix elements are substantially different from previous calculations without the FTT correction, even to the lowest linear order in Te=mec2 <<1. Mathematically, the derivation is a unique example of fully analytical integration of the 3D scattering operator over a relativistic Maxwellian distribution function; experimentally, the results have application to the use of the polarization properties of Thomson scattered light as a method of electron temperature measurement. The results can also be used as a reliable tool for benchmarking and verification of numerical codes for frequency resolved properties of TS polarization.},
doi = {10.1063/1.4948488},
url = {https://www.osti.gov/biblio/1471066},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 23,
place = {United States},
year = {Mon May 09 00:00:00 EDT 2016},
month = {Mon May 09 00:00:00 EDT 2016}
}
Web of Science
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Works referencing / citing this record:
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