Electromagnetic fields in the presence of an infinite dielectric wedge

Document Type

Article

Publication Date

1-1-2006

Abstract

Electromagnetic fields excited by a line source in the presence of an infinite dielectric wedge with refractive index N are determined by application of the Kontorovich-Lebedev transform. Singular integral equations for spectral functions are solved by perturbation procedure, and the solution is obtained in the form of a Neumann series in powers of (1 - N-2). The devised numerical scheme permits evaluation of the higher-order terms and, thus, extends the perturbation solution to values of N not necessarily close to unity. Asymptotic approximations for the near and far fields inside and outside the dielectric wedge are derived. The combination of the Neumann-type expansion of the transform functions with the representation of the field as a Bessel function series extends solutions derived with the Kontorovich-Lebedev method to the case of real-valued wavenumbers and arbitrarily positioned source and observer. Numerical results showing the influence of wedges with various values of dielectric and magnetic constants on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations. © 2006 The Royal Society.

Identifier

33845536570 (Scopus)

Publication Title

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

External Full Text Location

https://doi.org/10.1098/rspa.2006.1691

e-ISSN

14712946

ISSN

13645021

First Page

2503

Last Page

2522

Issue

2072

Volume

462

This document is currently not available here.

Share

COinS