Abstract

An inverse-scattering approach to designing optical waveguides with prescribed propagation characteristics of TM modes is presented. The refractive-index profile of the waveguide is formulated as a solution to a nonlinear differential equation whose forcing function is the potential obtained from the application of inverse-scattering theory. This method can reconstruct smooth refractive-index profiles for planar waveguides that support single modes or multimode. The cases of both zero and nonzero reflection coefficients characterizing the transmission properties of waveguides are discussed. A direct analysis technique based on a finite-difference scheme has been formulated to verify the results obtained by the inverse-scattering method, and the two approaches are in excellent agreement.

© 1993 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Numerical inverse scattering theory for the design of planar optical waveguides

De Biao Ge, Arthur K. Jordan, and Lakshman S. Tamil
J. Opt. Soc. Am. A 11(11) 2809-2815 (1994)

Inverse scattering theory applied to the design of single-mode planar optical waveguides

A. K. Jordan and S. Lakshmanasamy
J. Opt. Soc. Am. A 6(8) 1206-1212 (1989)

Analysis of planar optical waveguides using scattering data

Duncan W. Mills and Lakshman S. Tamil
J. Opt. Soc. Am. A 9(10) 1769-1778 (1992)

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 (10)

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

Tables (4)

You do not have subscription access to this journal. Article tables 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 (75)

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