Theoretical formalisms for stimulated Brillouin scattering

Christian Wolff; Christopher G. Poulton; Michael J. Steel; Gustavo Wiederhecker

doi:10.1016/bs.semsem.2022.04.002

Theoretical formalisms for stimulated Brillouin scattering

Christian Wolff^*, Christopher G. Poulton, Michael J. Steel, Gustavo Wiederhecker

^*Corresponding author for this work

School of Mathematical and Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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.

Original language	English
Title of host publication	Brillouin scattering. Part 1
Editors	Benjamin J. Eggleton, Michael J. Steel, Christopher G. Poulton
Place of Publication	Cambridge, MA
Publisher	Academic Press
Chapter	2
Pages	27-91
Number of pages	65
ISBN (Electronic)	9780323989305
ISBN (Print)	9780323989299
DOIs	https://doi.org/10.1016/bs.semsem.2022.04.002
Publication status	Published - 2022

Publication series

Name	Semiconductors and Semimetals
Volume	109
ISSN (Print)	0080-8784

Keywords

Brillouin derivation
Brillouin resonators
Brillouin waveguides
Equations of motion
Modeling
Theory of Brillouin scattering

Access to Document

10.1016/bs.semsem.2022.04.002

Cite this

@inbook{2ca28a4ba08e43a5a4ca027bd518fabe,

title = "Theoretical formalisms for stimulated Brillouin scattering",

abstract = "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.",

keywords = "Brillouin derivation, Brillouin resonators, Brillouin waveguides, Equations of motion, Modeling, Theory of Brillouin scattering",

author = "Christian Wolff and Poulton, {Christopher G.} and Steel, {Michael J.} and Gustavo Wiederhecker",

year = "2022",

doi = "10.1016/bs.semsem.2022.04.002",

language = "English",

isbn = "9780323989299",

series = "Semiconductors and Semimetals",

publisher = "Academic Press",

pages = "27--91",

editor = "Eggleton, {Benjamin J.} and Steel, {Michael J.} and Poulton, {Christopher G.}",

booktitle = "Brillouin scattering. Part 1",

address = "United States",

}

Theoretical formalisms for stimulated Brillouin scattering. / Wolff, Christian; Poulton, Christopher G.; Steel, Michael J. et al.
Brillouin scattering. Part 1. ed. / Benjamin J. Eggleton; Michael J. Steel; Christopher G. Poulton. Cambridge, MA: Academic Press, 2022. p. 27-91 (Semiconductors and Semimetals; Vol. 109).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Theoretical formalisms for stimulated Brillouin scattering

AU - Wolff, Christian

AU - Poulton, Christopher G.

AU - Steel, Michael J.

AU - Wiederhecker, Gustavo

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Brillouin derivation

KW - Brillouin resonators

KW - Brillouin waveguides

KW - Equations of motion

KW - Modeling

KW - Theory of Brillouin scattering

UR - http://www.scopus.com/inward/record.url?scp=85132859060&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/DP200101893

U2 - 10.1016/bs.semsem.2022.04.002

DO - 10.1016/bs.semsem.2022.04.002

M3 - Chapter

AN - SCOPUS:85132859060

SN - 9780323989299

T3 - Semiconductors and Semimetals

SP - 27

EP - 91

BT - Brillouin scattering. Part 1

A2 - Eggleton, Benjamin J.

A2 - Steel, Michael J.

A2 - Poulton, Christopher G.

PB - Academic Press

CY - Cambridge, MA

ER -

Theoretical formalisms for stimulated Brillouin scattering

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Harnessing opto-acoustic interactions for on-chip optical isolation

Cite this

Theoretical formalisms for stimulated Brillouin scattering

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Harnessing opto-acoustic interactions for on-chip optical isolation

Cite this