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

5th Annual International Workshop on Materials Science and Engineering

Li, Yan^1

School of Science, Xi'An Shiyou University, No. 18, Eastern Section of Electronic Road 2, Xi'an, Shaanxi Province

710065, China^1

关键词: Analytical method;    Dispersion relations;    Equi-frequency surface;    Fibonacci sequences;    One dimensional photonic crystal;    Photonic bands;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/585/1/012030/pdf
DOI  :  10.1088/1757-899X/585/1/012030

来源: IOP

【 摘 要 】

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.