Abstract

We show that the phases of waves coupled by four-wave mixing (FWM) can be calculated in closed form, for either degenerate or nondegenerate FWM. The phase of each wave is the sum of a linear function of distance z, and elliptic integrals of the third kind. A variety of behaviors as a function of z are possible. The results can be used for obtaining the phase transfer function between any input wave and any output wave, a subject of interest for phase regeneration of communication signals.

© 2012 Optical Society of America

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