A Comparative Study of Analytical and Numerical Dispersion Relations of Fibonacci Sequence One-dimensional Photonic Crystals

doi:10.19596/j.cnki.1001-246x.8047

Abstract

Abstract: A transfer matrix method is used to analytical calculation formulas of photonic band and equifrequency surface of one-dimensional Fibonacci sequence photonic crystal. Analytical physical quantities such as equivalent phase refractive index, group velocity and wave vector are given. Dispersion relations of this kind one-dimensional photonic crystal are studied contrastively with formulas and finite difference time domain method. It shows that results obtained by numerical method and analytical method are consistent with each other in overall trend. However, in weakly modulated one-dimensional photonic crystal, fatal error was made in numerical calculation result of equifrequency surfaces. Therefore, numerical results of weakly modulated photonic crystals must be verified with other methods such as analytical calculation or numerical simulation.

Key words: transfer matrix, one-dimensional photonic crystals, photonic band, equifrequency surface

CLC Number:

O451
O434.1

LI Yan. A Comparative Study of Analytical and Numerical Dispersion Relations of Fibonacci Sequence One-dimensional Photonic Crystals[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 371-378.

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