Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding

D. Kumar, Pankaj Kumar Choudhury, F. A. Rahman

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of cross-section. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally results into Mathieu and modified Mathieu functions as the representatives of the electromagnetic fields within the lightguide. Field components in the different sections of the guide are deduced, and the characteristic dispersion equation for the system is derived. The preliminary investigation on such type of waveguide throws the idea that the presence of helix pitch angle (which serves the purpose of additional controlling parameter for the guide) in the dispersion relation would greatly affect the propagation characteristics of the guide, and this can be of great practical importance.

Original languageEnglish
Pages (from-to)251-275
Number of pages25
JournalProgress in Electromagnetics Research
Volume71
DOIs
Publication statusPublished - 2007
Externally publishedYes

Fingerprint

helical windings
Waveguides
waveguides
Mathieu function
conduction
Dielectric waveguides
dielectric waveguides
pitch (inclination)
Optical waveguides
optical waveguides
helices
Electromagnetic fields
Wave propagation
wave propagation
electromagnetic fields
propagation
cross sections

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Radiation
  • Electrical and Electronic Engineering

Cite this

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AB - A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of cross-section. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally results into Mathieu and modified Mathieu functions as the representatives of the electromagnetic fields within the lightguide. Field components in the different sections of the guide are deduced, and the characteristic dispersion equation for the system is derived. The preliminary investigation on such type of waveguide throws the idea that the presence of helix pitch angle (which serves the purpose of additional controlling parameter for the guide) in the dispersion relation would greatly affect the propagation characteristics of the guide, and this can be of great practical importance.

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