Abstract

A method presented previously [ J. Opt. Soc. Am. A 3, 116 ( 1984)] for the determination of the number of guided modes in layered structures is extended to the case of graded-index waveguides. It is shown that the recursion relation that connected the phase of the wave function in adjacent layers is transformed into a form of nonlinear, first-order differential equation for this phase. Mathematical properties of this equation are discussed, and examples of applications are presented.

© 1987 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Unified approach for calculating the number of confined modes in multilayered waveguiding structures

S. Ruschin, G. Griffel, A. Hardy, and N. Croitoru
J. Opt. Soc. Am. A 3(1) 116-123 (1986)

Contribution of low-index layers to mode number in multilayer slab waveguides

Yi-Fan Li and John W. Y. Lit
J. Opt. Soc. Am. A 4(12) 2233-2239 (1987)

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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

Equations (70)

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

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

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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