Generalized Klein-Nishina formula

Abstract

The generalized Klein-Nishina formula for Compton scattering of charged particles by a finite train of pulses is derived in the framework of quantum electrodynamics. The formula also applies to classical Thomson scattering provided that frequencies of generated radiation are smaller that the cut-off frequency. The validity of the formula for incident pulses of different durations is illustrated by numerical examples. The positions of the well-resolved Compton peaks, with the clear labeling by integer orders, opens up the possibility of the precise diagnostics of properties of relativistically intense, short laser pulses. This includes their peak intensity, the carrier-envelope phase, and their polarization properties.

9 pages, 6 figures

References in corpus (6)

• Nonlinear Compton scattering in ultra-short laser pulses
• Non-Linear Compton Scattering of Ultrashort and Ultraintense Laser Pulses
• Compton Process in Intense Short Laser Pulses
• Spectral Bandwidth Reduction of Thomson Scattered Light by Pulse Chirping
• Narrowband inverse Compton scattering x-ray sources at high laser intensities
• Global phase and frequency comb structures in nonlinear Compton and Thomson scattering

Cited by in corpus (6)

• Advances in QED with intense background fields
• Nonlinear single Compton scattering of an electron wave-packet
• Determination of the carrier envelope phase for short, circularly polarized laser pulses
• Supercontinuum in ionization by relativistically intense and short laser pulses: ionization without interference and its time analysis
• Multi-photon regime of non-linear Breit-Wheeler and Compton processes in short linearly and circularly polarized laser pulses
• Unitary vs pseudo-unitary time evolution and statistical effects in the dynamical Sauter-Schwinger process