A Novel Low-Dispersive (2,2) Finite Difference Method: 3-D Case

The dispersion relation and convergence of a novel (2,2) modified finite-difference time-domain (MFDTD) method, which has fourth order convergence and excellent broadband characteristics, are presented. Accuracy of MFDTD is compared with that of standard FDTD and Fang (4,4) FDTD. The Convergence characteristics of the MFDTD and the FDTD are also furnished. We have presented MFDTD in 2-D in CEM-TD 2005. Here we extend MFDTD to 3-D.

[1]  W. Chew,et al.  A time-domain method with isotropic dispersion and increased stability on an overlapped lattice , 2002 .

[2]  T. Weiland.  A discretization model for the solution of Maxwell's equations for six-component fields , 1977 .

[3]  R. Marklein,et al.  Optimally accurate second-order time-domain finite-difference scheme for acoustic, electromagnetic, and elastodynamic wave modeling: one-dimensional case , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[4]  A novel low‐dispersive (2,2) collocated FDTD scheme , 2007 .

[5]  John B. Schneider,et al.  Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms , 2003 .

[6]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[7]  Robert J. Geller,et al.  Optimally accurate second-order time-domain finite difference scheme for the elastic equation of motion: one-dimensional case , 1998 .

[8]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[9]  Andrew F. Peterson,et al.  Relative accuracy of several finite-difference time-domain methods in two and three dimensions , 1993 .

[10]  Robert J. Geller,et al.  Optimally accurate second order time-domain finite difference scheme for computing synthetic seismograms in 2-D and 3-D media , 2000 .

[11]  J. B. Cole.  A high-accuracy realization of the Yee algorithm using non-standard finite differences , 1997 .