Abstract

For second-order, third-order nonlinear optical (NLO) interactions in the bulk of a biaxial crystal, the optimum phase matching (PM) directions are generally taken in the first quadrant (x, y, z>0) of the principal rectangular coordinate system. By analyzing the symmetry properties of the effective second-order, third-order NLO coefficients in all quadrants, we find that the conversion efficiency may be further increased when the incident directions are set in other quadrants beyond the first one. The number of independent quadrants of the effective nonlinear optical coefficients for various crystal classes are given.

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