Abstract

Perturbation calculation of resonant degenerate wave mixing processes were done up to fifth order for planar wave mixing arrangements. The non-linear medium is an optically thin ensemble of two-level particles with center frequency ω₀ and a single relaxation rate, for the populations and optical coherence, γ « Δω_doppler. Three beams I₁, I₂ and I₃ all at frequency ω≈ω₀ incident on the medium as depicted in Fig. 1 produce the non-linear optical polarization which is phase matched to radiate a diffracted beam I_d also at ω.

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