2003/11/21 by Kikuo Cho, Cho, Kikuo, Jun Ushida +3
Engineering · Physics and Astronomy · #Photonic Crystals and Applications #Photonic and Optical Devices #Semiconductor Lasers and Optical Devices #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0311496
8 pages, 2 figures
arxiv created 2003/11/21 · arxiv updated 2009/12/01
We give a general method to calculate photonic band structure in the form of wave number k as a function of frequency ω, which is required whenever we want to calculate signal intensity related with photonic band structure. This method is based on the fact that the elements of the coefficient matrix for the plane wave expansion of the Maxwell equations contain wave number up to the second order, which allows us to rewrite the original eigenvalue equation for ω2 into that for wave number. This method is much better, especially for complex wave numbers, than the transfer matrix method of Pendry, which gives the eigenvalues in the form of exp[ikd] . As a simplest example, we show a comparison of ω(k) and k(ω) for a model of intersecting square rods.