Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

8-1-1994

Abstract

Stimulated Brillouin scattering is investigated here under conditions characterized by high optical pump intensity. Calculations are carried out at 1.3 and 3.8 /jm with pump intensities equal to approximately three times the threshold. Such strong optical forcing leads to significant self-distortion of the density profile in the material wave serving as the optical grating. The method of multiple scales is used to find a uniform asymptotic expansion in the coupling. At the first perturbation level the resonant portion of the problem yields abridged equations for the incident and the scattered waves with frequencies CWaLn d ws = L - 0 and for the grating and its harmonics with frequencies nfl. The nonresonant portion of the first perturbation yields field components with the frequencies WL + nfl and cos - nfl for n = 1, 2,.... Numerical solutions of the truncated abridged system are found by a method of Chebychev collocation and indicate a reduction in the observed phonon lifetime and a broadening of the linewidth with increasing amplitude.

Publisher

Optical Society of America

Publication Title

Journal of the Optical Society of America B

ISSN

0740-3224

Volume

11

Issue

8

First Page

1367

Last Page

1373

Language (ISO)

English

Sponsorship

This paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/view_article.cfm?gotourl=http%3A%2F%2Fwww%2Eopticsinfobase%2Eorg%2FDirectPDFAccess%2F5EC72E3F%2DA2ED%2D35C8%2D689DDAF1AD4FBFF1%5F7656%2Epdf%3Fda%3D1%26id%3D7656%26seq%3D0%26mobile%3Dno&org=University%20of%20New%20Mexico%20. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

Comments

Article author is part of the Main Campus Math Department.

Included in

Mathematics Commons

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