Computable Two-Dimensional Photonic Crystal Band Gap Calculation

This program enables the calculation of band gaps in two-dimensional photonic crystals and generates corresponding band gap diagrams, including precise identification of band gap positions and widths. The computational approach involves solving Maxwell's equations using plane wave expansion methods or finite-difference time-domain (FDTD) algorithms to determine electromagnetic eigenmodes within the crystal structure. Key implementation features include lattice parameter optimization, dielectric constant matrix construction, and eigenvalue solvers for photonic band structure calculation. The application spans optical and semiconductor research domains, where photonic crystal band gap analysis plays a crucial role in designing high-performance optoelectronic devices. Through systematic computation of band gap characteristics, the program provides researchers with essential data for advanced analysis and investigation, facilitating deeper understanding and exploration of photonic crystal properties. The code architecture incorporates modular functions for unit cell definition, Brillouin zone sampling, and dispersion relation visualization, enabling parametric studies of geometric configurations and material properties.