Impedance Mismatch in Negative Index Photonic Crystals

摘要

Impedance matching in negative index 2D air hole array was addressed by the retrieval of the effective parameters. By solving the eigenvalues problem, we first stress the major difference between an electromagnetic confinement in air for the ground right handed branch and in the host matrix for the left handed one. We then calculate the complex transmission and reflection coefficients for a finite slab from which the effective refractive index and impedance are deduced by using a Fresnel inversion technique. The criterion n = -1 was found incompatible with the impedance matching condition z = 1. Also, the relevance of the dispersion characteristics was assessed by a technique based on spatial Fourier transform.