Implementation of converting Gaussian light into higher-order Gaussian light, first-order hollow Gaussian light, and Bessel Gaussian light (with MATLAB code)

In this article, we will introduce how to use the GS algorithm to convert Gaussian light into higher-order Gaussian light, order hollow Gaussian light, and Bessel Gaussian light. We will provide corresponding MATLAB code to implement these conversion processes. Let's walk through each transformation step by step with code examples.

1. Gaussian light is converted into higher-order Gaussian light

Gaussian light is a common form of light beam with Gaussian distributed amplitude and phase characteristics. Higher-order Gaussian light is a variant of Gaussian light that has a more complex phase structure and higher order.

The following is an example of MATLAB code that uses the GS algorithm to convert Gaussian light into higher-order Gaussian light:

% 定义初始高斯光参数
w0 = 2; % 初始束腰半径
z0 = 0; % 初始光束位置
k = 2*pi/lambda; % 波数
zr