Abstract

The wave behavior within a one-dimensional magnetoelectric photonic crystal is studied. A very simple, accurate analytical method of investigating the wave transmission along an arbitrary direction is developed. The method is based on the $2\times 2$ translation matrix instead of the well-known $4\times 4$ matrices. The TE- and TM-wave decomposition of a total wave in a one-dimensional magnetoelectric stack is presented in an accurate analytical form, to our knowledge for the first time, and the physical interpretation of the translation matrix determinant is given, also as far as we know for the first time.

© 2007 Optical Society of America

Analytical investigation of stratified isotropic media

Konstantin A. Vytovtov
J. Opt. Soc. Am. A 22(4) 689-696 (2005)

Computing shape parameter sensitivity of the field of one-dimensional surface-relief gratings by using an analytical approach based on RCWA

N. P. van der Aa and R. M. M. Mattheij
J. Opt. Soc. Am. A 24(9) 2692-2700 (2007)

Band structure and Bloch states in birefringent one-dimensional magnetophotonic crystals: an analytical approach

Miguel Levy and Amir A Jalali
J. Opt. Soc. Am. B 24(7) 1603-1609 (2007)

Investigation on the nonreciprocal properties of one-dimensional cylindrical magnetized plasma photonic crystals

Qianyu Wang, Pengxiang Wang, Baofei Wan, and Haifeng Zhang
J. Opt. Soc. Am. A 38(6) 897-907 (2021)

Generalized scattering-matrix method for the analysis of two-dimensional photonic bandgap devices

Lorenzo Crocco, Fabrizio Cuomo, and Tommaso Isernia
J. Opt. Soc. Am. A 24(10) A12-A22 (2007)