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Unifying Brillouin scattering and cavity optomechanics

Raphaël Van Laer (UGent) , Roel Baets (UGent) and Dries Van Thourhout (UGent)
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Center for nano- and biophotonics (NB-Photonics)
Abstract
So far, Brillouin scattering and cavity optomechanics have been mostly disconnected branches of research, although both deal with photon-phonon coupling. This begs for the development of a broader theory that contains both fields. Here, we derive the dynamics of optomechanical cavities from that of Brillouin-active waveguides. This explicit transition elucidates the link between phenomena such as Brillouin amplification and electromagnetically induced transparency. It proves that effects familiar from cavity optomechanics all have traveling-wave partners, but not vice versa. We reveal a close connection between two parameters of central importance in these fields: the Brillouin gain coefficient and the zero-point optomechanical coupling rate. This enables comparisons between systems as diverse as ultracold atom clouds, plasmonic Raman cavities, and nanoscale silicon waveguides. In addition, back-of-the-envelope calculations show that unobserved effects, such as photon-assisted amplification of traveling phonons, are now accessible in existing systems. Finally, we formulate both circuit- and cavity-oriented optomechanics in terms of vacuum coupling rates, cooperativities, and gain coefficients, thus reflecting the similarities in the underlying physics.
Keywords
SILICON WAVE-GUIDES, SURFACE ACOUSTIC-WAVES, PHOTONIC CRYSTAL FIBERS, INDUCED TRANSPARENCY, OPTICAL-FIBER, RAMAN LASER, MICROMECHANICAL RESONATOR, SLOW LIGHT, CHIP, COHERENT

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Citation

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Chicago
Van Laer, Raphaël, Roel Baets, and Dries Van Thourhout. 2016. “Unifying Brillouin Scattering and Cavity Optomechanics.” Physical Review A 93 (5).
APA
Van Laer, R., Baets, R., & Van Thourhout, D. (2016). Unifying Brillouin scattering and cavity optomechanics. PHYSICAL REVIEW A, 93(5).
Vancouver
1.
Van Laer R, Baets R, Van Thourhout D. Unifying Brillouin scattering and cavity optomechanics. PHYSICAL REVIEW A. COLLEGE PK: AMER PHYSICAL SOC; 2016;93(5).
MLA
Van Laer, Raphaël, Roel Baets, and Dries Van Thourhout. “Unifying Brillouin Scattering and Cavity Optomechanics.” PHYSICAL REVIEW A 93.5 (2016): n. pag. Print.
@article{8080209,
  abstract     = {So far, Brillouin scattering and cavity optomechanics have been mostly disconnected branches of research, although both deal with photon-phonon coupling. This begs for the development of a broader theory that contains both fields. Here, we derive the dynamics of optomechanical cavities from that of Brillouin-active waveguides. This explicit transition elucidates the link between phenomena such as Brillouin amplification and electromagnetically induced transparency. It proves that effects familiar from cavity optomechanics all have traveling-wave partners, but not vice versa. We reveal a close connection between two parameters of central importance in these fields: the Brillouin gain coefficient and the zero-point optomechanical coupling rate. This enables comparisons between systems as diverse as ultracold atom clouds, plasmonic Raman cavities, and nanoscale silicon waveguides. In addition, back-of-the-envelope calculations show that unobserved effects, such as photon-assisted amplification of traveling phonons, are now accessible in existing systems. Finally, we formulate both circuit- and cavity-oriented optomechanics in terms of vacuum coupling rates, cooperativities, and gain coefficients, thus reflecting the similarities in the underlying physics.},
  articleno    = {053828},
  author       = {Van Laer, Rapha{\"e}l and Baets, Roel and Van Thourhout, Dries},
  issn         = {2469-9926},
  journal      = {PHYSICAL REVIEW A},
  language     = {eng},
  number       = {5},
  pages        = {15},
  publisher    = {AMER PHYSICAL SOC},
  title        = {Unifying Brillouin scattering and cavity optomechanics},
  url          = {http://dx.doi.org/10.1103/PhysRevA.93.053828},
  volume       = {93},
  year         = {2016},
}

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