Title :
Second-Order Accurate FDTD Equations at Magnetic Media Interfaces
Author :
Chu, Qing Xin ; Ding, Hai
Author_Institution :
Coll. of Electron. & Inf. Eng., South China Univ. of Technol., Guangzhou
Abstract :
The rigorous second-order accurate finite-difference time-domain (FDTD) equations at magnetic media interfaces are straightforwardly derived through the discretization of the integral forms of Maxwell´s curl equations on the nonuniform Yee´s lattice and Taylor series extending of continuous field components over finite volumes including the interfaces. It is shown that in order to obtain second-order accuracy, we not only require to construct proper effective magnetic permeabilities in the grids containing the magnetic media interfaces, but also choose nonuniform Yee´s grids available in the vicinity of the interface. Numerical results in a cavity partially filled in magnetic media demonstrate the accuracy of proposed FDTD equations
Keywords :
Maxwell equations; finite difference time-domain analysis; interface magnetism; magnetic permeability; Maxwell curl equations; Taylor series; Yee lattice; finite-difference time-domain equations; magnetic media interfaces; magnetic permeabilities; Finite difference methods; Integral equations; Lattices; Magnetic fields; Magnetic flux; Maxwell equations; Permeability; Permittivity; Taylor series; Time domain analysis; Effective magnetic permeability; finite-difference time-domain (FDTD); magnetic interface; nonuniform grid; second-order accuracy;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.880101
