Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators

Document Type

Article

Publication Date

6-15-2005

Abstract

We derive a perturbed parametrically forced nonlinear Schrödinger equation to model pulse evolution in an optical parametric oscillator with absorption-induced heating. We apply both a rigorous renormalization group (RG) technique and the formal Wilsonian renormalization group to obtain a low-dimensional system of equations which captures the mutual interaction of pulses as well as their response to the thermally induced potential. We compare the methodologies of the two approaches and find that the two reduced systems agree to leading order, and compare well to simulations of the full equation, predicting the formation of stably bound pulse pairs. © 2005 Elsevier B.V. All rights reserved.

Identifier

19944370883 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/j.physd.2005.04.015

ISSN

01672789

First Page

62

Last Page

81

Issue

1-2

Volume

206

Grant

DMS 0345705

Fund Ref

National Science Foundation

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