Solution of refracted wave for monochromic plane wave incident on crystal interface
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摘要: 从麦克斯韦方程组出发，结合旋光晶体的物质方程以及单色平面波从各向同性介质入射到晶体界面时电场的连续性边界条件，通过晶体主轴坐标系和界面坐标系的坐标变换，推导了任意入射方向的单色平面波在晶体界面上的折射方向的求解公式，进而利用所得的折射方向求解晶体中折射波的电场本征模、电位移矢量本征模和光线方向。该方法以波动光学和晶体的物理性质为理论基础，推导过程没做近似，对双轴、单轴和各向同性晶体以及晶体是否具有旋光性都适用，并可通过计算机编程求出精确的数值解。Abstract: From Maxwells equations, with material constitutive relation of optically active crystal and boundary conditions of electric field on the boundary between isotropic media and crystal, through coordinate transformation, the formula of the direction of refracted wave for arbitrary direction incident monochromic plane wave was derived. Furthermore, based on the unit vector of direction of refracted wave, eigen waves of electric field, electric displacement vectors and direction of energy flow can be easily obtained. Based on wave optics and physical properties of crystal, its derivation involved no approximation, and the result is applicable for dual axes, single axis and isotropic crystal with or without optically active property.
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