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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 33 — Nov. 20, 2013
  • pp: 8013–8023

Nonlinear equation of the modes in circular slab waveguides and its application

Jianxin Zhu and Jia Zheng  »View Author Affiliations

Applied Optics, Vol. 52, Issue 33, pp. 8013-8023 (2013)

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In this paper, circularly curved inhomogeneous waveguides are transformed into straight inhomogeneous waveguides first by a conformal mapping. Then, the differential transfer matrix method is introduced and adopted to deduce the exact dispersion relation for modes. This relation itself is complex and difficult to solve, but it can be approximated by a simpler nonlinear equation in practical applications, which is close to the exact relation and quite easy to analyze. Afterward, optimized asymptotic solutions are obtained and act as initial guesses for the following Newton’s iteration. Finally, very accurate solutions are achieved in the numerical experiment.

© 2013 Optical Society of America

OCIS Codes
(060.2270) Fiber optics and optical communications : Fiber characterization
(230.7400) Optical devices : Waveguides, slab

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: July 16, 2013
Manuscript Accepted: October 10, 2013
Published: November 13, 2013

Jianxin Zhu and Jia Zheng, "Nonlinear equation of the modes in circular slab waveguides and its application," Appl. Opt. 52, 8013-8023 (2013)

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