理论上给出了一种计算任意厚度、不同切向石英晶体Maker条纹的方法。通过晶体坐标系和实验室坐标系的对应关系, 计算出X,Y,Z三种切向石英晶体的有效二阶非线性系数, 从而得到它们的Maker条纹。结果表明X切石英晶体为第一类Maker条纹, 而Y切和Z切石英晶体为第二类Maker条纹。实验上使用波长为800 nm的飞秒激光为光源, 分别测量了入射角-60°到60°范围内, 相同厚度三种切向石英晶体的Maker条纹。实验测量和理论计算的Maker条纹结果基本一致。根据实验测量X,Y,Z切石英晶体Maker条纹的最大值计算出的二阶非线性系数分别为0.3875pm/V、0.2969pm/V、0.2946 pm/V和0.3268pm/V。

Theoretical equations are given to calculate the Maker fringes of quartz crystals with arbitrary thickness and different cutting directions. Based on the correspondence between the crystal coordinate system and the laboratory coordinate system, the effective second order nonlinear coefficients of X, Y, and Z-cut quartz crystals are calculated to obtain their Maker fringes. The results show that X-cut quartz crystals belong to the first-type Maker fringe, while Y-cut and Z-cut quartz crystals belong to the second-type Maker fringe. Moreover, Maker fringes of X, Y and Z-cut quartz crystals is measured experimentally with the same thickness in the range of incident angles from -60 degrees to 60 degrees using a femtosecond laser with a wavelength of 800 nm as the light source. The experimental and theoretical calculated Maker fringes have good coincidence. According to the experimentally measured maximum values of Maker fringes in X, Y, and Z-cut quartz crystals, the second order nonlinear coefficients of quartz are calculated to be 0.3875pm/V, 0.2969pm/V, 0.2946pm/V, and 0.3268pm/V, respectively.