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We consider integrated photon pair sources based on spontaneous four-wavemixing and derive expressions for the pump powers at which various nonlinearprocesses become relevant for a variety of source materials and structures.These expressions serve as rules of thumb in identifying reasonable parameterregimes for the design of such sources. We demonstrate that if pump powers arekept low enough to suppress cross-phase modulation, multi-pair events as wellas many other nonlinear effects are often also constrained to negligiblelevels.

Parasitic nonlinearities in photon pair generation via integrated spontaneous four-wave mixing: critical problem or distraction?