Application of the 2-D finite difference-frequency domain method for the analysis of the dispersion characteristic of ferrite devices

In this paper, a two dimensional (2-D) finite-difference frequency-domain (FDFD) method is applied to analyze the dispersion characteristics of ferrite devices. The FDFD formulation for ferrite devices is built from the integral form of Maxwell's equations. After implementing all the boundary conditions, the finite-difference formulation is concluded as an eigen equation and then constructed by a highly sparse matrix. By solving the matrix eigen equation, the dispersion characteristics of ferrite devices for a given frequency can be obtained. In order to verify the validity of the proposed method, an infinite ferrite filled waveguide is examined and then the numerical results are compared to the theoretical and 3-D finite-difference time-domain (FDTD) numerical results.