Compton scattering of plasmons

Abstract

We extend de concept of Compton scattering to the case of plasmons. This concept was originally applied to electrons in vacuum. Here, we consider electrons in a plasma, and study the scattering properties of photon-plasmon interactions. We show that a number n of plasmons with frequency ω ≃ ωp is scattered by an electron, for an incident photon with frequency ω′ ≥ ωp, where ωp is the plasma frequency. We describe the general case of arbitrary n and assume that Compton scattering of plasmons is intrinsically a nonlinear process. Our theoretical model is based on Volkov solutions of the Klein-Gordon equation describing the state of relativistic electrons, when the spin is ignored. We derive the corresponding scattering probability, as well as the recoil formula associated with arbitrary the final electron states. This process can be relevant to intense laser plasma interactions.

Compton Profile Investigation for Aluminum (Al)

“…The theoretical results of the Compton profile J(PZ), which were obtained in the final form after all calculations and corrections were made, were given in Table (1). Three arrangements were chosen for the CP theoretically, which are (3s 1.8 -3p 1.2 ) , (3s 1.9 -3p 1.1 ) and (3s 2 -3p 1 ) respectively, were compared with the Free Atom (FA) model (3s 2 -3p 1 ) as well as data (PW-GGA).…”

“…The phenomenon of Compton scattering, or the inelastic scattering of X-rays as the diffraction of these rays is used for the purpose of knowing the physical properties of materials and gamma-rays via electrons, is strongly associated with the electron density distributions. The movement of targeted electrons strongly corresponds with the Compton spectrum's linebroadening [1,2]. The spectrum produced by the broadened line shape is called Compton Profile (CP).…”