Generalized surface current method in the macroscopic theory of diffraction radiation

TL;DR

This paper extends the surface current method to analyze diffraction radiation from a charged particle near a conducting screen, deriving exact solutions and clarifying the method's applicability limits.

Contribution

It generalizes the surface current approach for diffraction radiation problems, providing exact solutions and identifying the method's limitations.

Findings

Derived an expression for induced surface current density leading to exact transition radiation results.

Obtained several exact solutions for diffraction radiation problems.

Investigated radiation properties from a semi-plane and slit in a cylinder at various observer distances.

Abstract

The surface current method known in the theory of electromagnetic waves diffraction is generalized to be applied for the problems of diffraction radiation generated by a charged particle moving nearby an ideally-conducting screen in vacuum. An expression for induced surface current density leading to the exact results in the theory of transition radiation is derived, and by using this expression several exact solutions of diffraction radiation problems are found. Limits of applicability for the earlier known models based on the surface current conception are indicated. Properties of radiation from a semi-plane and from a slit in cylinder are investigated at the various distances to observer.