摘要
Based on the general equations of nonlinear motion, the directions of pure longitudinal modes in crystals have been determined and the solutions of nonlinear distortion in the corresponding specific directions presented. For hexagonal and trigonal crystals, the relationships between the amplitude of the second harmonic in a pure longitudinal mode and the TOE constants are given in aconcrete form. It is pointed out that due to the generality of the theory, the method developed in this paper may be used to study the nonlinear behavior of crystals with any symmetry and even the nonlinear propagation of pure transverse mode.
Based on the general equations of nonlinear motion, the directions of pure longitudinal modes in crystals have been determined and the solutions of nonlinear distortion in the corresponding specific directions presented. For hexagonal and trigonal crystals, the relationships between the amplitude of the second harmonic in a pure longitudinal mode and the TOE constants are given in aconcrete form. It is pointed out that due to the generality of the theory, the method developed in this paper may be used to study the nonlinear behavior of crystals with any symmetry and even the nonlinear propagation of pure transverse mode.
基金
Project supported by the National Natural Science Foundation of China