基于小波理论光子晶体能带计算中小波积分的解析求解

ANALYTICAL RESOLUTION OF WAVELET INTEGRATION IN BAND CALCULATION FOR PHOTONIC CRYSTALS BASED ON WAVELET METHOD

详细推导了基于双尺度关系的小波积分的矩阵本征值求解方法.并选择常用的Harr小波和CDF小波进行了实际计算,与数值积分的方法进行了比较,结果表明该方法具有良好的精度.同时,还针对光子晶体的特点,对该方法进行了改进,这将有利于进一步提高基于小波理论的光子晶体计算方法的性能.

A detail derivation of an analytical method to calculate the wavelet integration based on the eigenvalue problem is presented.The wavelet method and the numerical method are adopted to compute the integral of wavelet with the Haar wavelet and the Cohen-Daubechies Feauveau（CDF） wavelet.The comparative results show the high precision of the wavelet method.Furthermore,the wavelet method is also improved according to the features of photonic crystals,which will facilitate the performance of the algorithm based on wavelet method.