Full-wave finite-difference time-domain formulation for gyromagnetic ferrite media magnetized in arbitrary direction

In this paper, we propose a full-wave finite-difference time-domain formula tion for ferrite magnetized in arbitrary direction solving the equation of motion uf the magnetization vector including magnetic loss with Maxwell's e quation consistently. The FDTD formulation and algorithm for ferrite are de rived from Gilbert's equation without making and. restrictions on the direc tion 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 theor etical results: given from the conventional Polder's permeability tenser. T he FDTD results of the quality factor and tile resonant frequency of the re sonators magnetized in off-axial direction agree very. well with the theore tical results, and validity and generality of the formulation are confirmed .