MATLAB Source Code for FDTD Program to Calculate Photonic Crystal Transmission

In this article, we explore how to develop MATLAB source code for an FDTD program that calculates photonic crystal transmission. We begin by examining the fundamental principles of FDTD methodology and relevant knowledge about photonic crystals. Subsequently, we demonstrate the step-by-step MATLAB implementation process, detailing each programming stage with code structure explanations. This includes discretization schemes for Maxwell's equations, boundary condition handling (particularly Perfectly Matched Layers - PML), and field update procedures using Yee's algorithm. We also discuss optimization techniques such as vectorization and memory management to enhance computational efficiency, along with methods for result analysis and data visualization using MATLAB's plotting functions. Finally, we summarize the key concepts presented and suggest potential future research directions for photonic crystals and FDTD computational methods, including possible extensions to 3D simulations and nonlinear material implementations.