Temporal laser pulse shape effects in nonlinear Thomson scattering
Vasily Kharin, Daniel Seipt, Sergey Rykovanov

TL;DR
This paper investigates how the temporal shape of laser pulses affects the spectrum of nonlinear Thomson scattering, providing analytical models and exploring pulse reconstruction from scattered spectra at high intensities.
Contribution
It offers analytical expressions for the scattered radiation's temporal and spectral structure for symmetric laser pulses and discusses pulse reconstruction methods from the scattered spectrum.
Findings
Analytical models for symmetric laser pulse shapes
Impact of pulse shape on on-axis photon spectrum
Potential for reconstructing laser pulses from scattered spectra
Abstract
The influence of the laser pulse temporal shape on the Nonlinear Thomson Scattering on-axis photon spectrum is analyzed in detail. Using the classical description, analytical expressions for the temporal and spectral structure of the scattered radiation are obtained for the case of symmetric laser pulse shapes. The possibility of reconstructing the incident laser pulse from the scattered spectrum averaged over interference fringes in the case of high peak intensity and symmetric laser pulse shape is discussed.
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