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Photon pair generation in leaky coupled-resonator optical waveguides via spontaneous four-wave mixing

Mohsen Kamandar Dezfouli, Marc M. Dignam

Published Jan 1, 2015• 0 citations
Publisher

Abstract

A fully quantum mechanical formalism is developed to calculate photon pair detection probabilities in leaky coupled-resonator optical waveguide. Using our formalism we have studied the effect of loss on pair evolution as well as higher order pair generations in the system.
DOI
10.1364/cleo_at.2015.jtu5a.12

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We theoretically model pair generation and evolution via the nonlinear process of spontaneous four-wave mixing in a coupled-resonator optical waveguide in a photonic crystal slab. Using the adjoint master equation for a system of lossy coupled cavities, we calculate a symmetrized second-order coherence function to determine pair detection probability. We find that the scattering loss can have as large an effect on pair generation as waveguide dispersion. In particular, the wave-vector dependence of the loss can shift the frequency of the maximum detection probability and therefore cannot, in general, be ignored or treated via a simple overall loss factor.
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