Spontaneous Nonlinear Scattering Processes in Silica Optical Fibers

Brainis, Edouard

doi:10.5772/27692

Cited by 1 publication

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References 53 publications

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“…Instead we must consider the relevant term in ψ|ψ = Û †Û with the evolution operator in Eq. (11) For narrow spectral filtering, compared to the Raman spectrum, the probability of generating a Raman photon at frequency ω is then R R (ω) = 1 π γ s f R E p ωLχ R (|ω|)[n th (|ω|) + (−ω)], (D2) which is a well-known result [53]. As is always the case for SRS, the probability of generating a photon on the Stokes side (ω < 0) is larger than the probability of generating an anti-Stokes photon (ω > 0).…”

Section: Appendix D: Rate Of Single Raman Photonsmentioning

confidence: 99%

Effects of noninstantaneous nonlinear processes on photon-pair generation by spontaneous four-wave mixing

2017

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We present a general model, based on a Hamiltonian approach, for the joint quantum state of photon pairs generated through pulsed spontaneous four-wave mixing, including nonlinear phase modulation and a finite material response time. For the case of a silica fiber, it is found that the pair-production rate depends weakly on the waveguide temperature, due to higher-order Raman scattering events, and more strongly on pump-pair frequency detuning. From the analytical model, a numerical scheme is derived, based on the well-known split-step method. This scheme allows computation of joint states where nontrivial effects are included, such as groupvelocity dispersion and Raman scattering. In this work, the numerical model is used to study the impact of the noninstantaneous response on the prefiltering purity of heralded single photons. We find that for pump pulses shorter than 1 ps, a significant detuning-dependent change in quantum-mechanical purity may be observed in silica. This shows that Raman scattering not only introduces noise, but can also drastically change the spectral correlations in photon pairs when pumped with short pulses.

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Section: Appendix D: Rate Of Single Raman Photonsmentioning

confidence: 99%