Volume 13 Number 2 (Apr. 2023)
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IJAPM 2023 Vol.13(2): 10-18
DOI: 10.17706/ijapm.2023.13.2.10-18

Derivation and Approximation of Coupled Wave Equations for Spontaneous Brillouin Scattering

Christopher Horne

Abstract—Brillouin Scattering (SBS) is a nonlinear process in which an electromagnetic (pump) wave generates an acoustic wave through the process of electrostriction. The theoretical model for SBS is initiated by thermally excited acoustic waves distributed within a Brillouin-active medium; thermally excited acoustical phonons cause an inelastic scattering of light in a fiber optic tube. This paper provides a derivation of an approximate analytical solution to the system of SBS equations in a lossless medium. The model’s solution predicts how the SBS Stokes power depend upon the laser light intensity and upon the physical properties of the medium. A brief study of a numerical solution of the model is presented.

Key words—Brillouin Scattering (SBS), electrostriction Partial Differential Equations (PDE), nonlinear, optics

Christopher Horne is with Dept. of Electrical & Computer Engineering, North Carolina A&T State University, Greensboro, NC USA.

Cite:Christopher Horne, "Derivation and Approximation of Coupled Wave Equations for Spontaneous Brillouin Scattering," International Journal of Applied Physics and Mathematics vol. 13, no. 2, pp. 10-18, 2023.

Copyright © 2023 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
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