Electric Field Generated by Transition Radiation of a Short Bunch

Stupakov, G.

doi:10.2172/1074150

Cited by 2 publications

(6 citation statements)

References 5 publications

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“…0 and the corresponding cross-section which is identical to the solution (19) increasing confidence in correctness of Equations (16) and (18).…”

Section: A Electric Field From a Single Electronmentioning

confidence: 66%

“…This intuitive approach can fail to accurately characterize the scattered power. As was pointed out by Stupakov, 19 a more consistent approach is not a summation of the instantaneous powers but a summation of energies emitted by the electrons and accumulated by the detector during some time interval long compared to the particle transit time through the scattering volume. The problem was formally treated in the second part of Ref.…”

Section: A Electric Field From a Single Electronmentioning

confidence: 99%

“…The particular case of a linearly polarized incident wave with v ¼ 0 is considered in solution (19). The corresponding electric field amplitude E i k e 0…”

Section: Stokes Vector Componentsmentioning

confidence: 99%

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Exact relativistic expressions for polarization of incoherent Thomson scattering

2016

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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 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. Published by AIP Publishing.

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“…0 and the corresponding cross-section which is identical to the solution (19) increasing confidence in correctness of Equations (16) and (18).…”

Section: A Electric Field From a Single Electronmentioning

confidence: 66%

Section: A Electric Field From a Single Electronmentioning

confidence: 99%

See 1 more Smart Citation

Exact relativistic expressions for polarization of incoherent Thomson scattering

2016

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“…This intuitive approach can fail to accurately characterize the scattered power. As was pointed out by Stupakov [28], a more consistent approach is not a summation of the instantaneous powers but a summation of energies emitted by the electrons and accumulated by the detector during time interval long compared to the particle transit time through the scattering volume. The problem was formally treated in section II.D of [15] devoted to the finite scattering volume or, equivalently, to the FTT case, by applying the Fourier transform in coordinate space leading to the result…”

Section: Combined Effect Of Many Electronsmentioning

confidence: 99%

“…Snapshot of the area occupied by radiation (red) emitted in the direction s toward the remote detector (yellow) during one passage through the scattering volume (blue) of a single electron moving with velocity b = c v such that b a b = > • s cos 0.L is the length between the entrance and the exit points of the scattering volume (suggested by Stupakov[28]). …”

mentioning

confidence: 99%

Polarization of incoherent Thomson scattering for electron temperature measurement

Mirnov

Hartog

2017

Plasma Phys. Control. Fusion

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This paper reviews the polarization properties of Thomson scattered (TS) light as applied to electron temperature measurement. The theoretical background is based on Stokes vector transformations and Mueller matrices. The review starts from scattering on a single electron and proceeds to the combined effect of many particles. Then, this general approach is subdivided into frequency-integrated and frequency-resolved applications. For each of them, the exact relativistic analytical solutions are presented in the form of Mueller matrix elements averaged over the relativistic Maxwellian distribution function. The dependencies of the elements on the scattering angle, electron temperature, and frequency of the scattered radiation (in the frequency-resolved case) are presented. These solutions form the basis for accurate analysis of the degree of depolarization of TS radiation. Results obtained for the frequency-integrated regime are reviewed and new solutions for the frequency-resolved case are reported, making a bridge between the two limiting cases. Experimental setups for polarization-based TS diagnostics are compared. A combination of polarization-based and spectral-based techniques are also described.

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Electric Field Generated by Transition Radiation of a Short Bunch

Cited by 2 publications

References 5 publications

Exact relativistic expressions for polarization of incoherent Thomson scattering

Exact relativistic expressions for polarization of incoherent Thomson scattering

Polarization of incoherent Thomson scattering for electron temperature measurement

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