MATLAB实现在空间光调制器上加载相位以实现Hollow Gaussian Beam到Solid Gaussian Beam的转换
时间: 2024-05-07 11:23:37 浏览: 12
在MATLAB中实现在空间光调制器上加载相位以实现Hollow Gaussian Beam到Solid Gaussian Beam的转换,需要进行以下步骤:
1. 定义输入Hollow Gaussian Beam的参数,包括功率、波长、束腰半径和中心位置。
2. 定义空间光调制器的参数,包括像素尺寸、像素数和工作波长。
3. 根据输入参数生成Hollow Gaussian Beam的光场分布。
4. 将光场分布映射到空间光调制器上,并计算每个像素需要加载的相位调制值。
5. 加载相位调制值到空间光调制器上,并使用激光光源照射光学系统,使得输出光场经过空间光调制器后,转换为Solid Gaussian Beam。
具体的实现细节如下:
定义输入Hollow Gaussian Beam的参数:
```matlab
P = 1; % input beam power in watts
lambda = 0.6328e-6; % input beam wavelength in meters
w0 = 0.5e-3; % input beam waist radius in meters
z0 = 0; % input beam center position in meters
```
定义空间光调制器的参数:
```matlab
pixel_size = 10e-6; % pixel size in meters
pixel_num = 512; % number of pixels
lambda_slm = 0.6328e-6; % SLM working wavelength in meters
```
生成Hollow Gaussian Beam的光场分布:
```matlab
x = linspace(-w0*5, w0*5, pixel_num);
[X, Y] = meshgrid(x);
r = sqrt(X.^2 + Y.^2);
theta = atan2(Y, X);
wz = w0 * sqrt(1 + (lambda*(z0-x)/pi/w0^2).^2); % beam waist radius as a function of z
Rz = z0 + (pi*w0^2)./lambda.*(r.^2)./wz.^2; % radius of curvature as a function of z
u = sqrt(P./(pi*wz.^2)).*exp(-r.^2./wz.^2).*exp(-1i.*k.*Rz); % input beam field distribution
```
将光场分布映射到空间光调制器上,并计算每个像素需要加载的相位调制值:
```matlab
k = 2*pi/lambda_slm; % wavenumber of SLM working wavelength
L = pixel_size * pixel_num; % size of SLM active area
fx = linspace(-pixel_num/2, pixel_num/2-1, pixel_num) / L;
fy = linspace(-pixel_num/2, pixel_num/2-1, pixel_num) / L;
[FX, FY] = meshgrid(fx, fy);
R = sqrt(FX.^2 + FY.^2);
mask = double(R < 1); % generate binary mask for selecting the inner region of the Fourier plane
phi_slm = exp(1i * k * pi * lambda_slm * (FX.^2 + FY.^2) .* (w0^2/2)); % generate quadratic phase modulation for beam shaping
phi_slm = phi_slm .* mask; % apply binary mask to select the inner region of the Fourier plane
E_slm = ifftshift(ifft2(ifftshift(u))); % calculate the inverse Fourier transform of input beam field distribution
E_slm = E_slm .* phi_slm; % apply phase modulation for beam shaping
u_slm = fftshift(fft2(fftshift(E_slm))); % calculate the Fourier transform of shaped beam field distribution
phi_slm = angle(u_slm); % calculate the phase modulation values needed to shape the beam
```
加载相位调制值到空间光调制器上,并使用激光光源照射光学系统,使得输出光场经过空间光调制器后,转换为Solid Gaussian Beam:
```matlab
% load phase modulation values to SLM
% use laser source to illuminate optical system and transform output beam to Solid Gaussian Beam
```