MATLAB Source Code for Calculating 2D Photonic Crystal Bandgaps

MATLAB source code for 2D photonic crystal bandgap calculation is fundamentally important. Photonic crystals generate frequency bandgaps due to their periodic structures, known as photonic bandgaps. The existence of these bandgaps is a key factor enabling photonic crystals' wide application potential. Achieving large bandgap widths is crucial for controlling light frequency ranges. Compared to traditional 1D photonic crystals, 2D photonic crystals with their more complex structures can achieve wider bandgaps, making them more promising for practical applications. The code typically implements the plane wave expansion (PWE) method to solve Maxwell's equations in periodic dielectric structures, calculating eigenfrequencies across the Brillouin zone to identify bandgap regions. Key functions include lattice generation, dielectric constant mapping, and eigenvalue solvers for photonic band structure computation. Furthermore, fabrication techniques for 2D photonic crystals have become increasingly mature, providing substantial development opportunities for their applications. Therefore, research on 2D photonic crystal bandgaps represents not only significant scientific investigation but also promising technological research with broad application prospects. The MATLAB implementation allows parameter optimization for maximizing bandgap width through material contrast and lattice geometry adjustments.