Radiation of the atomic chains exited by a channeling particle

Abstract

Basic properties of radiation of the atomic chains excited by a channeling particle are considered. Using a very simple two-dimensional model of a crystal lattice we have shown that the main part of this radiation is generated on the frequency of oscillations of a channeling particle between the crystal planes, shifted by the Doppler effect. Angular distribution of the radiation of the chain of oscillating atoms is sharply peaked in the direction of the velocity of channeling particle because of coherence of the fields, produced by individual atoms.

Coherent radiation from atoms and a channeled particle

“…Electric field E a (t) of vibrating atoms in far zone is given by equation ( 30) in [7]. We rewrite this equation in a complex form…”

“…Assumption on radiation of this kind was expressed recently in [7]. It was shown that radiation of an atomic chain is collimated in direction of the channeling particle velocity.…”

“…In this paper we study the field of vibrating atoms in some more details and calculate angular distribution of radiation resulting from superposition of fields produced by channeling particle and by atoms. In section 2 we discuss some features of radiation field of atomic chain which were not studied in [7]. Next section presents calculation of the net field produced by channeling particle and excited atoms.…”

Emission spectrum of the atomic chain excited by channeled particle

“…Assumption of such radiation was expressed recently in [7]. It was shown that the basic part of radiation is generated into a cone around the direction of velocity of a relativistic channeling particle.…”

“…In this paper, we study the field of oscillating atoms in detail and calculate the emission spectrum of the atomic chains, excited by a channeled particle. In section 2 we discuss some of the features of the radiation field of the atomic chains, which were not taken into account in [7]. The next section presents the calculation of the spectral and angular distribution of the radiation of the atomic chain.…”