Abstract
A new analytical method for calculating the polarization directions of an electric displacement and electric field, walk-off angles, the effective nonlinear coefficient, and other parameters describing the process of nonlinear-optical frequency conversion in orthorhombic biaxial crystals is presented. This method is based on introduction of a new polarization parameter and allows to simplify the known exact formulas for calculating the parameters of three-wave interactions at propagation of waves out of the principal planes of the optical indicatrix of a crystal. On its basis a method of obtaining the approximate formulas for calculation of these parameters is devised. The convenient for practical purposes exact and approximate formulas, which take into account the dielectric dispersion, for calculation of walk-off angles and the effective nonlinear coefficient are obtained at all possible combinations of the crystallophysical (optical) and crystallographic frames.
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