Abstract
For general parametric collinear four-wave mixing (FWM) or direct third harmonic generation (THG) processes involving fields at four different frequencies, the determination of the phase matching (PM) directions becomes considerably difficult. But the situation may be greatly simplified when the incident waves propagate in one of the principal planes. In this case, we present here the criteria for determining whether PM can be satisfied for these processes. The explicit equations, even analytic expressions in some processes for obtaining the corresponding PM directions are presented. Data of PM directions for direct THG in several typical biaxial crystals are given.
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