Theoretical formalisms for stimulated Brillouin scattering

Publisher:
Elsevier
Publication Type:
Chapter
Citation:
Semiconductors and Semimetals, 2022, 109, pp. 27-91
Issue Date:
2022-01-01
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We present the theoretical formalism for Brillouin scattering, beginning with the equations for linear elasticity together with Maxwells equations, and ending with the equations of motion for the optical and acoustic envelope fields. The treatment presented here is based on the Hamiltonian for the opto-acoustic interaction, but we discuss other possible derivations, as well as alternate formulations that describe Brillouin phenomena. We cover the theory of Brillouin scattering in both waveguides and resonators, and present the equations for several typical settings in each case. An Appendix gives a brief introduction to linear elasticity theory for optical physicists.
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