论文信息 - Improvement on the numerical dispersion of 2-D ADI-FDTD with artificial anisotropy

Improvement on the numerical dispersion of 2-D ADI-FDTD with artificial anisotropy

In this letter, by introducing artificial anisotropy into computational space, a simple and efficient approach to reduce numerical dispersion of the two-dimensional alternating direction implicit finite-difference time-domain (ADI-FDTD) method is proposed. It is shown that performance of the ADI-FDTD method can be improved significantly for both single frequency simulations and relatively wideband problems. Consequently, the usefulness and effectiveness of the ADI-FDTD method can be notably enhanced.

An Ping Zhao

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

[2] Theodoros D. Tsiboukis,et al. Reduction of numerical dispersion in FDTD method through artificial anisotropy , 2000 .

[3] Zhizhang Chen,et al. Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method , 2001 .

[4] T. Namiki,et al. A new FDTD algorithm based on alternating-direction implicit method , 1999 .

[5] A. Zhao. Consistency of the numerical dispersion relation expressed in different forms for the ADI‐FDTD method , 2004 .

[6] C. W. Trueman,et al. Unconditionally stable Crank-Nicolson scheme for solving two-dimensional Maxwell's equations , 2003 .

[7] T. Weiland,et al. Dispersion and asymmetry effects of ADI-FDTD , 2002, IEEE Microwave and Wireless Components Letters.

[8] Fernando L. Teixeira,et al. A three-dimensional angle-optimized finite-difference time-domain algorithm , 2003 .

[9] A. Zhao. The influence of the time step on the numerical dispersion error of an unconditionally stable 3‐D ADI‐FDTD method: A simple and unified approach to determine the maximum allowable time step required by a desired numerical dispersion accuracy , 2002 .

[10] Hyeongdong Kim,et al. A study of the numerical dispersion relation for the 2-D ADI-FDTD method , 2003 .