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

Generalized eikonal approximation. 2. Propagation of stationary electromagnetic waves in linear and nonlinear media

Not Accessible

Your library or personal account may give you access

Abstract

A recent study [J. Opt. Soc. Am. A 15, 2720 (1998)] showed that the eikonal equation can be generalized to include higher-order terms that can describe the dispersion of a pulse in a linear medium. In this companion paper, the formalism of this generalized eikonal approximation is investigated for stationary waves in both linear and nonlinear media. A local refractive index can be defined that includes higher-order terms in the form of the second derivatives of the amplitude of the wave. It is shown that wave phenomena such as diffraction, self-focusing, and self-trapping of a finite beam in linear and nonlinear media can be derived naturally as a result of the differences in the local refractive indices that arise from the spatial variation of the wave amplitude and the nonlinearity of the medium. This formalism can be readily extended to the study of other complex electromagnetic wave-propagation phenomena in both linear and nonlinear media.

© 1998 Optical Society of America

Full Article  |  PDF Article
More Like This
Generalized eikonal approximation. 1. Propagation of an electromagnetic pulse in a linear dispersive medium

B. C. Quek, B. R. Wong, and K. S. Low
J. Opt. Soc. Am. A 15(10) 2720-2724 (1998)

Generalized eikonal formalism. 3. Formation of interference fringes

Boon Cheong Quek, Nyok Fah Thong, and Kum Sang Low
J. Opt. Soc. Am. B 19(6) 1430-1434 (2002)

Simulation of Hamiltonian light-beam propagation in nonlinear media

Menashe Sonnenschein and Dan Censor
J. Opt. Soc. Am. B 15(4) 1335-1345 (1998)

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 (2)

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 (39)

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