MATLAB M-file Implementation for Solving Laser Rate Equations

In this article, we explore how to implement a MATLAB M-file to solve laser rate equations. Laser rate equations are differential equations that describe the output characteristics of laser devices. We will demonstrate how to create an M-file to numerically solve these differential equations using MATLAB's built-in ODE solvers like ode45 or ode15s, and analyze the resulting photon density and population inversion dynamics. The implementation typically involves defining the rate equation system in a function file, setting appropriate initial conditions for photon number and carrier density, and specifying time integration parameters. We will also discuss methods for optimizing model parameters such as gain coefficients, cavity loss rates, and pumping rates to achieve more accurate simulation results. Additionally, we'll show how to leverage MATLAB's existing functions for data visualization and analysis to streamline the code development process. This article will be particularly valuable for researchers studying laser physics and engineers working with MATLAB programming for photonic device simulation.