Calculation of Photonic Crystal Bandgaps Using MATLAB and Analytical Methods

Resource Overview

This program employs MATLAB simulation software and analytical methods to compute photonic crystal bandgaps.

Detailed Documentation

This program uses MATLAB simulation software and analytical methods to calculate photonic crystal bandgaps. Photonic crystal bandgaps refer to prohibited frequency ranges within photonic crystals where photons cannot propagate, which is crucial for photonic crystal design and fabrication. The program requires input of crystal structure parameters and light source parameters, then calculates the position and size of bandgaps through eigenvalue solving and frequency domain analysis. The implementation utilizes MATLAB's PDE toolbox for electromagnetic wave simulation and custom analytical algorithms for band structure computation. Additionally, the program supports optimization of crystal structure and light source parameters to achieve superior photonic crystal performance, featuring parameter sweep functionality and gradient-based optimization methods for enhanced design outcomes.