Group representation of linear and nonlinear wave processes in crystals

摘要

Group representation of wave equations of crystal optics is developed. On this base the new solution and the simple expressions of propagation velocities and refractive indexes of optical radiation waves in dielectrics are obtained. Two-dimensional representation and particularity in gyrotropic crystals are considered. Obtained expressions are used for applied nonlinear optics. Simple expressions of direction three-wave phase-matching cones in biaxial crystals are deduced.