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Transition radiation at the boundary of a chiral isotropic medium

Sergey N. Galyamin* and Andrey V. Tyukhtin†

Anton A. Peshkov

  • Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia

  • Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia and Helmholtz-Institut Jena, Fröbelstieg 3, Jena 07743, Germany

  • *s.galyamin@spbu.ru
  • †a.tyuhtin@spbu.ru
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Phys. Rev. E 95, 032142 – Published 29 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032142

Abstract

This study analyzes the radiation produced by a point charge intersecting the interface between a vacuum and a chiral isotropic medium. We deduce analytical expressions for the Fourier components of an electromagnetic field in both vacuum and medium for arbitrary charge velocity. The main focus is on investigating the far field in a vacuum. The distinguishing feature of the interface with a chiral isotropic medium is that the field in the vacuum area contains both copolarization (coinciding with the polarization of the self-field of a charge) and cross-polarization (orthogonal to the polarization of the self-field). Using a saddle-point approach, we obtain asymptotic representations for the field components in the far-field zone for typical frequency ranges of the Condon model of the chiral medium. We note that a so-called lateral wave is generated in a vacuum for certain parameters. The main contribution to the radiation at large distances is presented by two (co- and cross-) spherical waves of transition radiation. These waves are coherent and result in a total spherical wave with elliptical polarization, with the polarization coefficient being determined by the chirality of the medium. We present typical radiation patterns and ellipses of polarization.

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Phys. Rev. E 95, 032142– Published 29 March, 2017
  • Received 14 November 2016
  • Revised 11 January 2017

©2017 American Physical Society

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