Exact relativistic expressions for polarization of incoherent Thomson scattering
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 spectrumintegrated matrix elements. The solution is valid for the full range of incident polarizations, scattering angles, and electron thermal motion from nonrelativistic to ultrarelativistic. 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 T _{e}=m _{e}c ^{2} <<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:

^{[1]}
;
^{[1]};
^{[2]}
 Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics and the Center for Magnetic SelfOrganization in Lab. and Astrophysical Plasmas
 Univ. of California, Los Angeles, CA (United States)
 Publication Date:
 Grant/Contract Number:
 FG0285ER53212; FC0205ER54814
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 23; Journal Issue: 5; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Univ. of Wisconsin, Madison, WI (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC24)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
 OSTI Identifier:
 1471066
 Alternate Identifier(s):
 OSTI ID: 1252263
Mirnov, V. V., Den Hartog, D. J., and Parke, E.. Exact relativistic expressions for polarization of incoherent Thomson scattering. United States: N. p.,
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. doi: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.
doi: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 spectrumintegrated matrix elements. The solution is valid for the full range of incident polarizations, scattering angles, and electron thermal motion from nonrelativistic to ultrarelativistic. 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},
journal = {Physics of Plasmas},
number = 5,
volume = 23,
place = {United States},
year = {2016},
month = {5}
}