Full-Wave Finite-Difference Time-Domain Formulation for Gyromagnetic Ferrite Media Magnetized in Arbitrary Direction

Atsushi SANADA  Kensuke OKUBO  Ikuo AWAI  

IEICE TRANSACTIONS on Electronics   Vol.E84-C   No.7   pp.931-936
Publication Date: 2001/07/01
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on Techniques for Constructing Microwave Simulators--Design and Analysis Tools for Electromagnetic Fields, Circuits, and Antennas--)
Category: Electromagnetics Simulation Techniques
FDTD method,  ferrite,  microwave,  

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In this paper, we propose a full-wave finite-difference time-domain formulation for ferrite magnetized in arbitrary direction solving the equation of motion of the magnetization vector including magnetic loss with Maxwell's equation consistently. The FDTD formulation and algorithm for ferrite are derived from Gilbert's equation without making any restrictions on the direction of the magnetization. In order to confirm the validity and generality of the the axial independence of the formulation, full-wave analyses for a ferrite filled waveguide resonator are demonstrated and compared with theoretical results given from the conventional Polder's permeability tensor. The FDTD results of the quality factor and the resonant frequency of the resonators magnetized in off-axial direction agree very well with the theoretical results, and validity and generality of the formulation are confirmed.