Fully relativistic form factor for Thomson scattering

Palastro, J. P.; Ross, J. S.; Pollock, B.; Divol, L.; Froula, D. H.; Glenzer, S. H.

doi:10.1103/PhysRevE.81.036411

Title: Fully relativistic form factor for Thomson scattering

Journal Article · Wed Mar 24 00:00:00 EDT 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.81.036411· OSTI ID:1497305

Palastro, J. P. ^[1]; Ross, J. S. ^[1]; Pollock, B. ^[1]; Divol, L. ^[1]; Froula, D. H. ^[1]; Glenzer, S. H. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We derive a fully relativistic form factor for Thomson scattering in unmagnetized plasmas valid to all orders in the normalized electron velocity, $$\overset{\rightharpoonup}{β}$$ = $$\overset{\rightharpoonup}{v}$$/ c . The form factor is compared to a previously derived expression where the lowest order electron velocity, $$\overset{\rightharpoonup}{β}$$, corrections are included [J. Sheffield, Plasma Scattering of Electromagnetic Radiation (Academic Press, New York, 1975)]. The $$\overset{\rightharpoonup}{β}$$ expansion approach is sufficient for electrostatic waves with small phase velocities such as ion-acoustic waves, but for electron-plasma waves the phase velocities can be near luminal. At high phase velocities, the electron motion acquires relativistic corrections including effective electron mass, relative motion of the electrons and electromagnetic wave, and polarization rotation. These relativistic corrections alter the scattered emission of thermal plasma waves, which manifest as changes in both the peak power and width of the observed Thomson-scattered spectra. $$\overset{\rightharpoonup}{β}$$

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1497305

Report Number(s):: LLNL-JRNL-418764; PLEEE8; 380391

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 81, Issue 3; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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Impact of non-Maxwellian electron velocity distribution functions on inferred plasma parameters in collective Thomson scattering Milder, A. L.; Ivancic, S. T.; Palastro, J. P. Physics of Plasmas, Vol. 26, Issue 2 https://doi.org/10.1063/1.5085664	journal	February 2019
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