Angular Distribution of Photons in Coherent Bremsstrahlung in Deformed Crystals

TL;DR

This paper derives a formula for the angular distribution of photons in coherent bremsstrahlung within deformed crystals, analyzing how periodic deformations influence photon emission patterns for high-energy electrons.

Contribution

It introduces a general differential cross-section formula for coherent bremsstrahlung in arbitrarily deformed crystals, with detailed analysis for small incident angles and specific crystal and deformation parameters.

Findings

Derived a new formula for photon angular distribution in deformed crystals.

Numerical results for SiO2 crystals show deformation effects on photon emission.

Analyzed the impact of acoustic wave-induced deformation on bremsstrahlung patterns.

Abstract

We investigate the angular distribution of photons in the coherent bremsstrahlung process by high-energy electrons in a periodically deformed single crystal with a complex base. The formula for the corresponding differential cross-section is derived for an arbitrary deformation field. The case is considered in detail when the electron enters into the crystal at small angles with respect to a crystallographic axis. The results of the numerical calculations are presented for SiO2 single crystal and Moliere parameterization of the screened atomic potentials in the case of the deformation field generated by the acoustic wave of S -type.