对正交浮雕光栅傅里叶模方法的快速实现

采用“逆规则”傅里叶展开法来提高正交浮雕双周期光栅问题的收敛性，把用在单周期光栅中的反射透射系数阵算法推广到正交双周期光栅中，并充分利用光栅的对称性和对角周期性，在保证计算准确度和稳定性的条件下，把计算速度提高了几十倍，从而把对这类问题计算从大型计算机中解脱出来，而可用微机加以处理。

Fast Processing of Fourier Modal Method for Perpendicularly Crossed Surface-Relief Binary-Period Gratings

The “inverse rule” Fourier expansion is used to enhance the convergence of perpendicularly crossed surface-relief binary-period gratings. The reflection-transmission-coefficient-matrix (RTCM) algorithm used in single-period gratings is extended to perpendicularly crossed binary-period gratings. The symmetry and diagonal period are well used, keeping certain computational accuracy and steady, to increase the speed of computation to tens of times, so that the calculation of such problem can be done by PC instead of large computers.