An Exact Solution to the Spatial Evolution of a Carrier and a Pair of Side-Bands in a Cubically Nonlinear Medium

Author(s)

M. Maghraoui, Syracuse University
Partha P. Banerjee, University of DaytonFollow

Document Type

Article

Publication Date

6-1991

Publication Source

Optics Communications

Abstract

The propagation of an amplitude modulated signal consisting of a carrier and a single side-band pair in a cubically nonlinear, nondispersive medium is solved exactly using the coupled mode approach. No approximation of undepletion is introduced. We show in the most general conditions the existence of a periodic exchange of energy between the carrier and the side-bands. Other forms of solutions are also found to exist. The steady state solution of the problem is necessarily introduced for a better understanding of the process of energy exchange.

Inclusive pages

358-366

ISBN/ISSN

0030-4018

Comments

Permission documentation is on file.

Copyright

Copyright © 1991, Elsevier

Publisher

Elsevier

Volume

83

Peer Reviewed

yes

Issue

5-6

eCommons Citation

Maghraoui, M. and Banerjee, Partha P., "An Exact Solution to the Spatial Evolution of a Carrier and a Pair of Side-Bands in a Cubically Nonlinear Medium" (1991). Electrical and Computer Engineering Faculty Publications. 160.
https://ecommons.udayton.edu/ece_fac_pub/160