Global optimality for realistic generated-channel responses

Establish global optimality of the stationarity condition in Eq. (8) for real resonant-conversion devices with finite output linewidths, phase-matching windows, and measured modulator responses.

Background

The paper derives a closed-form globally optimal pulse only for an idealized single-mode pump resonator with a spectrally flat or narrowly resonant generated channel. For realistic devices, the generated-side transfer function combines cavity response, phase matching, propagation, collection, and modulator limitations. The authors formulate the optimization through the stationarity condition in Eq. (8), but explicitly state that its global optimality has not been established.