Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

Abstract

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

Full Article  |  PDF Article
More Like This
Analytical extraction of leaky modes in circular slab waveguides with arbitrary refractive index profile

P. Sarrafi, N. Zareian, and K. Mehrany
Appl. Opt. 46(36) 8656-8667 (2007)

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)

References

You do not have subscription access to this journal. Citation lists with outbound citation 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

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

Figures (1)

You do not have subscription access to this journal. Figure files 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

Tables (6)

You do not have subscription access to this journal. Article tables 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

Equations (37)

You do not have subscription access to this journal. Equations 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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved