matlab方孔夫琅禾费
时间: 2023-11-20 11:55:16 浏览: 19
根据引用中提到的方法,可以使用MATLAB模拟方孔夫琅禾费衍射。具体步骤如下:
1. 定义常量和变量
```matlab
lambda = 632.8e-9; % 波长
k = 2 * pi / lambda; % 波数
a = 0.1e-3; % 孔径宽度
L = 1; % 衍射屏大小
N = 1024; % 衍射屏像素数
z = input('请输入衍射屏距离衍射孔的距离(mm):') / 1000; % 衍射屏距离衍射孔的距离
dx = L / N; % 衍射屏像素大小
x = linspace(-L/2, L/2, N); % 衍射屏坐标
```
2. 定义衍射孔函数
```matlab
function y = aperture(x, a)
y = zeros(size(x));
y(abs(x) <= a/2) = 1;
end
```
3. 计算衍射场
```matlab
[X, Y] = meshgrid(x);
r = sqrt(X.^2 + Y.^2);
theta = atan2(Y, X);
aperture_field = aperture(r, a);
diffraction_field = aperture_field .* exp(1i * k * r.^2 / (2 * z)) ./ (1i * lambda * z);```
4. 计算接收屏图样
```matlab
dx2 = lambda * z / (N * dx);
x2 = linspace(-lambda * z / 2, lambda * z / 2, N);
[X2, Y2] = meshgrid(x2);
r2 = sqrt(X2.^2 + Y2.^2);
theta2 = atan2(Y2, X2);
diffraction_field2 = interp2(X, Y, diffraction_field, X2, Y2, 'spline');
intensity = abs(diffraction_field2).^2;
```
5. 显示结果
```matlab
figure;
imagesc(x2*1e3, x2*1e3, intensity);
axis image;
colormap(gray);
xlabel('x (mm)');
ylabel('y (mm)');
title('方孔夫琅禾费衍射图样');
```
运行以上代码,即可得到方孔夫琅禾费衍射的图样。