Towards high photon density for Compton Scattering by spectral chirp

TL;DR

This paper investigates how spectral chirping of laser pulses can optimize the brightness of X and gamma-ray spectra produced via Compton scattering, using catastrophe theory to analytically determine the optimal chirp parameter.

Contribution

It introduces an analytical method employing catastrophe theory to find the optimal spectral chirp for maximizing photon density in Compton scattering.

Findings

Identifies the optimal spectral chirp for maximum photon density.

Demonstrates the use of catastrophe theory for analytical optimization.

Shows that spectral chirping enhances the brightness of scattered spectra.

Abstract

Scattering of intense laser pulses on high-energy electron beams allows one to produce a large number of X and gamma rays. For temporally pulsed lasers the resulting spectra is broadband which severely limits practical applications. One could use linearly chirped laser pulses to compensate that broadening. We show for laser pulses chirped in the spectral domain that there is the optimal chirp parameter at which the spectra has the brightest peak. Additionally, we use catastrophe theory to analytically find this optimal chirp value.