Title :
The symplectic finite difference time domain method
Author :
Saitoh, Ikuo ; Suzuki, Yoshio ; Takahashi, Norio
Author_Institution :
Central Res. Lab., Hitachi Ltd., Tokyo, Japan
fDate :
9/1/2001 12:00:00 AM
Abstract :
A new method for solving Maxwell equations in the time domain, called the symplectic FDTD method, is formulated, discretized, implemented, and verified. This method preserves the symplecticness (preservation of area in the phase space, i.e., preservation of energy or helicity), improves the accuracy of the solution to the high frequency problem, and reduces the CPU time for this calculation. Moreover, it is applied to efficiently solve the 3-D lossless cavity resonator TE101 problem
Keywords :
Maxwell equations; Runge-Kutta methods; cavity resonators; finite difference time-domain analysis; integration; 3D lossless cavity resonator TE101 problem; CPU time reduction; HF problem; Maxwell equations; finite difference time domain method; high frequency problem; symplectic FDTD method; Cavity resonators; Finite difference methods; Frequency; Helium; Lattices; Magnetic fields; Magnetic flux; Maxwell equations; Tellurium; Time domain analysis;
Journal_Title :
Magnetics, IEEE Transactions on