仿真白光干涉信号并解调其波长并图像显示结果matlab代码

在MATLAB中，你可以使用光学仿真工具箱（Optical Toolbox）来创建白光干涉信号，并通过傅立叶变换或自相关函数等方法解调其波长。以下是一个简单的示例，演示如何创建、处理和显示干涉信号：

% 导入所需库
addpath('toolbox_path/OpticalSystem');

% 创建光源
lambda = linspace(400, 700, 1000); % 波长范围从400到700纳米，共1000个点
wavelength = @(lambda) interp1([400 700], [0 1], lambda, 'spline'); % 线性插值生成强度

% 创建相干光源，模拟白色光
source = WhiteLightSource('Intensity', wavelength);

% 创建透镜系统
lens = Lens('FocalLength', 50e-3, 'ApertureDiameter', 2e-3);

% 产生干涉图
interference_pattern = interfere(source, lens, 'DetectorDistance', 100e-3);

% 计算频率（波数）并转换为波长
frequencies = -diff(fourier(interference_pattern)) / (length(interference_pattern) * pi);
wavelengths = c / frequencies; % c为光速

% 选择部分波长范围显示
wavelength_index = find(wavelengths > 550 & wavelengths < 650); % 示例选取红色区域
interference_pattern_selected = interference_pattern(:, wavelength_index);
wavelengths_selected = wavelengths(wavelength_index);

% 绘制波长图像
figure;
subplot(1, 2, 1)
plot(wavelengths_selected, real(interference_pattern_selected));
title('Interference Pattern');
xlabel('\u03BB (\u212B)');
ylabel('Amplitude');

subplot(1, 2, 2)
histogram(wavelengths_selected, 'BinWidth', 5);
title('Wavelength Distribution');
xlabel('\u03BB (\u212B)');
ylabel('Frequency');

% 解调和显示
disp(['Selected wavelengths and their counts:'])
disp(table(wavelengths_selected, histcounts(wavelengths_selected, 10), 'VariableNames', {'Wavelength', 'Count'}));

% 显示完整干涉图谱（如果需要）
imagesc(fouriershift(interference_pattern));
colorbar;
title('Full Interferogram Spectrum');