帮我用MATLAB写一段逐线积分计算透过率的代码

以下是MATLAB的逐线积分计算透过率代码：

% Define the parameters
lambda = 0.6328; % wavelength in microns
a = 0.1; % width of aperture in microns
z = 10; % distance from aperture to screen in microns
N = 100; % number of points in x and y directions
L = 5*a; % width and height of screen in microns
dx = L/N; % step size in x and y directions

% Create the aperture function
x = linspace(-a/2,a/2,N);
[X,Y] = meshgrid(x,x);
r = sqrt(X.^2 + Y.^2);
aperture = zeros(N);
aperture(r <= a/2) = 1;

% Perform the line integral
transmittance = zeros(N);
for i = 1:N % iterate over each line
    for j = 1:N % iterate over each point on the line
        x1 = -L/2 + (j-1)*dx;
        y1 = -L/2 + (i-1)*dx;
        x2 = x1 + dx;
        y2 = y1 + dx;
        line_integral = 0;
        for k = 1:N % iterate over each point along the line
            xk = x1 + (k-1)*dx/N;
            yk = y1 + (k-1)*dx/N;
            if aperture(round(N/2 + yk/dx),round(N/2 + xk/dx)) == 1 % check if point is inside aperture
                line_integral = line_integral + exp(-1i*2*pi/lambda*z*sqrt((x2-x1)^2 + (y2-y1)^2))*dx/N;
            end
        end
        transmittance(i,j) = abs(line_integral)^2;
    end
end

% Plot the results
figure;
imagesc(transmittance);
axis('equal');
colormap('hot');
colorbar;
xlabel('x (microns)');
ylabel('y (microns)');
title('Transmittance through aperture');

该代码首先定义了所需的参数，包括波长、光阑宽度、光屏距离和网格点数。然后创建了光阑函数，接下来进行逐线积分计算透过率。最后通过图像显示结果。