helmholtz

相场法材料计算的modelc-alloy 对应的基础代码，自取基础有用(The basic code corresponding to modelc-alloy for phase field method material calculation, useful for self-extraction)

本程序基于MATLAB,用于计算多层平板波导的导模的等效折射率(The program is based on MATLAB, the equivalent refractive index of the guided mode for calculation of multilayer slab waveguide)

可实现Dijkstra算法，显示起始点到其它各节点的最短距离和路径(Dijkstra algorithm can be implemented to show the shortest distance and path from the starting point to other nodes.)

fft谐波分析的实例，并求出THD即谐波畸变率 (Examples fft harmonic analysis, and find THD)

用分离变量法求得波动方程傅里叶级数近似解，改程序可画出示功图(Wave equation is obtained by separation of variables method Fourier series approximation solution, the app can show the indicator diagrams)

经典的人脸识别算法：2Dpca的实现，matlab实现环境。(Classical face recognition algorithms: 2Dpca the realization)

分别采用Roe格式和AUSM格式求解一维黎曼问题，并将计算结果与解析解进行比较，发现这两种计算格式都能获得高的计算精度。(Roe scheme were used in this procedure and AUSM format to solve a 1-D RIEMANN problem, and numerical results were compared with the analytical solution, the results can be seen from these two formats have a solution with high accuracy.)

说明：  FFT（Fast Fourier Transformation）是离散傅氏变换（DFT）的快速算法 [1] 。即为快速傅氏变换。它是根据离散傅氏变换的奇、偶、虚、实等特性，对离散傅立叶变换的算法进行改进获得的。(FFT (Fast Fourier Transform) is a fast algorithm of discrete Fourier Transform (DFT). That is fast Fourier transform. According to the odd, even, imaginary and real characteristics of discrete Fourier transform, the algorithm of discrete Fourier transform is improved.)

计算多层膜结构的透射率。可以计算各种偏振态，各层膜材料的折射率和厚度及波长等可以自己设置。(multilayered film, transmission, wavelength.)

A numerical method for analysis of Korres2003