We derive the set of coupled equations that describes the process of degenerate four-wave mixing in the presence of spatially nonuniform pump-beam wave fronts. We investigate the influence of phase mismatch between plane-wave pump beams on the efficiency and on the fidelity of the phase-conjugation process, and we furnish, in the near-collinear geometry, the expression of the spatial degree of coherence of the phase-conjugate wave in terms of those of the input signal and of the pump beams.
© 1984 Optical Society of America
Bruno Crosignani and Amnon Yariv, "Degenerate four-wave mixing in the presence of nonuniform pump wave fronts," J. Opt. Soc. Am. A 1, 1034-1039 (1984)