Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 29,
  • Issue 21,
  • pp. 3230-3236
  • (2011)

Dispersion Relation of Leaky Modes in Nonhomogeneous Waveguides and Its Applications

Not Accessible

Your library or personal account may give you access

Abstract

For a nonhomogeneous waveguide, whose refractive index is not a constant, the problem is very complicated since the nonlinear eigenvalue problems are unable to reduce to algebraic equations yet. When the refractive index is varied, the dispersion relation cannot be derived by using the analytic expressions of the solutions in each layer. In this paper, this problem is solved by using the differential transfer matrix method, which is introduced to deduce the dispersion relations of leaky modes for TE and TM cases, respectively. Moreover, for the waveguide whose refractive index is gradually varied, the dispersion relations can be approximated by some simpler algebraic equations, which are close to the exact relations and very easy to analyze. Asymptotic solutions are used as initial guesses, and followed by Newton's method, to give very accurate solutions. This paper is a generalization of the asymptotic method of slab waveguides; all the results therein are consistent with the analysis here.

© 2011 IEEE

PDF Article
More Like This
Dispersion relations of the modes for open nonhomogeneous waveguides terminated by perfectly matched layers

Jianxin Zhu, Zheqi Shen, and Zengsi Chen
J. Opt. Soc. Am. B 29(9) 2524-2530 (2012)

Exact dispersion equation of transverse electric leaky modes for nonhomogeneous optical waveguides

Jianxin Zhu and Jia Zheng
J. Opt. Soc. Am. B 32(1) 92-100 (2015)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved