Cascaded forward Brillouin scattering to all Stokes orders

Publisher:
Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Publication Type:
Journal Article
Citation:
New Journal of Physics, 2017, 19 (2), pp. 1 - 22 (22)
Issue Date:
2017-02-09
Full metadata record
Files in This Item:
Filename Description Size
Cascaded forward Brillouin scattering to all Stokes orders.pdfPublished Version2.01 MB
Adobe PDF
© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Inelastic scattering processes such as Brillouin scattering can often function in cascaded regimes and this is likely to occur in certain integrated opto-acoustic devices. We develop a Hamiltonian formalism for cascaded Brillouin scattering valid for both quantum and classical regimes. By regarding Brillouin scattering as the interaction of a single acoustic envelope and a single optical envelope that covers all Stokes and anti-Stokes orders, we obtain a compact model that is well suited for numerical implementation, extension to include other optical nonlinearities or short pulses, and application in the quantum-optics domain. We then theoretically analyze intra-mode forward Brillouin scattering (FBS) for arbitrary waveguides with and without optical dispersion. In the absence of optical dispersion, we find an exact analytical solution. With a perturbative approach, we furthermore solve the case of weak optical dispersion. Our work leads to several key results on intra-mode FBS. For negligible dispersion, we show that cascaded intra-mode FBS results in a pure phase modulation and discuss how this necessitates specific experimental methods for the observation of fiber-based and integrated FBS. Further, we discuss how the descriptions that have been established in these two classes of waveguides connect to each other and to the broader context of cavity opto-mechanics and Raman scattering. Finally, we draw an unexpected striking similarity between FBS and discrete diffraction phenomena in waveguide arrays, which makes FBS an interesting candidate for future research in quantum-optics.
Please use this identifier to cite or link to this item: