Noise and dynamics in forward Brillouin interactions

Abstract

In this paper, we explore the spatio-temporal dynamics of spontaneous and stimulated forward Brillouin scattering. This general treatment incorporates the optomechanical coupling produced by boundary-induced radiation pressures (boundary motion) and material-induced electrostrictive forces (photo-elastic effects), permitting straightforward application to a range of emerging micro- and nano-scale optomechanical systems. Through a self-consistent fully coupled nonlinear treatment, developed within a general Hamiltonian framework, we establish the connection between the power spectral density of spontaneously scattered light in forward Brillouin interactions and the nonlinear coupling strength. We show that, in sharp contrast to backward Brillouin scattering, noise-initiated stimulated forward Brillouin scattering is forbidden in the majority of experimental systems. In fact, the single-pass gain, which characterizes the threshold for energy transfer in back-scattering processes, is negative for a large class of forward Brillouin devices. Beyond this frequent experimental case, we explore mechanisms for dispersive symmetry breaking that lead to amplification and dynamics reminiscent of backward Brillouin scattering.

12 pages, 3 figures

References in corpus (6)

• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Coherent optical wavelength conversion via cavity-optomechanics
• Interaction between light and highly confined hypersound in a silicon photonic nanowire
• Control of coherent information via on chip photonic-phononic emitter-receivers
• Unifying Brillouin scattering and cavity optomechanics
• A Hamiltonian treatment of stimulated Brillouin scattering in nanoscale integrated waveguides

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• Memory Device for Photons by exploiting Brillouin Interactions in Nanowires