Numerical and Analytical Comparison of Dispersion Relations of Weakly Modulated Fibonacci Sequence One-dimensional Photonic Crystals

Abstract

The photonic band and the equifrequency surface of the weakly modulated one-dimensional Fibonacci sequence photonic crystal have been calculated by the finite difference time domain method and the analytical method, respectively, where the analytical method is based on the transfer matrix method. The results show that the equifrequency surface of the photonic crystals calculated by numerical method may lead to a completely wrong conclusion. Therefore, in the study of weakly modulated photonic crystals, the study of analytical methods is very necessary.