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

Variational analysis and angular bistability in layered nonlinear Kerr media with phase conjugation

Not Accessible

Your library or personal account may give you access

Abstract

The calculus of variations is applied to electromagnetic fields in a layered nonlinear structure supporting a guided wave. The system also includes a phase-conjugate mirror (PCM). By introducing a variational dimension and using a collection of plane waves as a trial function, we approximate the exact solution of the nonlinear Kerr–Maxwell equation. The formalism is new, and it involves the nonlinear interference of multiple plane waves. A simple analytical expression for the nonlinear field in the presence of the PCM is derived, and the fact that the scattered intensities may become bistable when the angle of incidence is varied is demonstrated. In particular, our theory predicts the angular bistability in the backscattering direction, where the effect of the guided waves is subtle. Our numerical results are also in good agreement with other theoretical approaches and with the experimental data.

© 2000 Optical Society of America

Full Article  |  PDF Article
More Like This
Thin-layer theory of nonlinear fields

T. A. Laine and A. T. Friberg
J. Opt. Soc. Am. B 17(10) 1711-1715 (2000)

Nonlinear phase distortion in phase conjugation by degenerate four-wave mixing in Kerr media

S. Trillo and S. Wabnitz
J. Opt. Soc. Am. B 5(2) 195-201 (1988)

Self-guided waves and exact solutions of the nonlinear Helmholtz equation

Timo A. Laine and Ari T. Friberg
J. Opt. Soc. Am. B 17(5) 751-757 (2000)

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 (4)

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

Equations (40)

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

Select as filters


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