Abstract

A new analytical formalism to study the effect of discontinuities in a nonreciprocal waveguide has been developed. The analysis is based on 1) the general orthogonality relation obtained from the reciprocity theorem, 2) the modal expansion of the transverse electromagnetic fields within the waveguide, and 3) the continuity of the tangential components of such electromagnetic fields at both sides of the discontinuity. The formalism is presented in a matrix form, which allows the treatment of several discontinuities as a simple summation and product of coupling and propagation matrices. The matrix formalism is developed for magnetooptic waveguides in the three different orientations of the magnetization, and, within this context, two practical applications of magnetooptic isolators are studied.

© 2004 IEEE

Analysis of longitudinal discontinuities in dielectric slab waveguides

P. G. Cottis and N. K. Uzunoglu
J. Opt. Soc. Am. A 1(2) 206-215 (1984)

Analytical calculation of nonreciprocal phase shifts and comparison analysis of enhanced magneto-optical waveguides on SOI platform

Haifeng Zhou, Jingyee Chee, Junfeng Song, and Guoqiang Lo
Opt. Express 20(8) 8256-8269 (2012)

Boundary-element analysis of dielectric slab waveguide discontinuities

Masanori Koshiba and Michio Suzuki
Appl. Opt. 25(6) 828-829 (1986)

Explicit analysis of anisotropic planar waveguides by the analytical transfer-matrix method

Weijun Liao, Xianfeng Chen, Yuping Chen, Yuxing Xia, and Yingli Chen
J. Opt. Soc. Am. A 21(11) 2196-2204 (2004)

High-speed nonreciprocal magnetoplasmonic waveguide phase shifter

C. J. Firby and A. Y. Elezzabi
Optica 2(7) 598-606 (2015)