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当各向异性晶体介电主轴坐标系与入射光波所在平面坐标系取向不同时,讨论折射光波场强E的问题变得比较复杂,但是这种情形对于许多双轴晶体的非线性光学现象具有重要影响。在上述两坐标系任意取向的前提下。讨论了平面波从各向同性介质人射到各向异性晶体后,其折射光波电场强度E的大小和方向的一般表达式,证明了折射光波电场强度的方向和大小可以通过求解一元四次方程和电磁场边界条件而得到。对于一些特殊的入射光波方向和具有特殊对称性的晶体,折射光波电场强度E的方向与光波法线方向垂直,也就此特殊情况进行了讨论。利用所得结果,可以讨论两束折射光波能量的分配关系。
The problem of discussing the field strength of the refracted light wave E becomes more complicated when the anisotropy of the dielectric principal axis coordinate system is different from the plane coordinate system where the incident light wave is located, but this situation is important for the nonlinear optical phenomena of many biaxial crystals influences. In the above two coordinate system under the premise of any orientation. The general expression of the magnitude and direction of the electric field E of refracted light wave after the plane wave is launched from an isotropic medium into an anisotropic crystal is discussed. It is proved that the direction and magnitude of the electric field strength of the refracted light wave can be obtained by solving a quadratic equation Electromagnetic field boundary conditions and get. For some special incident light wave directions and special symmetry crystals, the direction of the electric field E of the refracted light wave is perpendicular to the normal direction of the light wave, and this special case is also discussed. Using the results obtained, we can discuss the distribution of the energy of the two refracted light waves.