Numerical Computation of Photonic Crystal Band Gap

The basic conception and theoretical methods based on plane wave method (PWM) are reviewed in this paper. As the periodic structure of photonic crystal is intricate, it is very hard to make a mathematical analysis. So people usually analyze a photonic crystal through numerical simulations. Therefore, it is essential to study numerical methods in the theoretical research of photonic crystals. In this paper, one-dimensional photonic band gap structures are derived, general computational routines are programmed to calculate photonic crystal band gap using MATLAB, and parameters for widest band gap are found.