Further results on light propagation in helicoidal bianisotropic mediums: Oblique propagation

Akhlesh Lakutakia, Werner S. Weiglhofer

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

The recent fabrication of thin-film hélicoïdal bianisotropic mediums (HBMs) has created an impetus for understanding their electromagnetic response. Using the Oseen transformation, we have derived a 4 x 4 matrix ordinary differential equation for oblique (i.e. non-axial) propagation in general linear HBMs. A perturbational technique is presented for almost-axial propagation; and two other techniques-one semi-analytic and the other analytic-are presented for general oblique propagation. All three techniques yield exact closed-form results for axial propagation. Our use of the Oseen transformation amounts to viewing oblique propagation not by itself but as a graft on axial propagation, and is thus responsible for the stability of all three techniques.

Original languageEnglish (US)
Pages (from-to)93-105
Number of pages13
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume453
Issue number1956
DOIs
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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