학술논문

A comparison of the dispersion error of higher-order finite-difference time-domain schemes with Daubechies' multi-resolution time-domain schemes
Document Type
Conference
Source
IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229) Antennas and Propagation - APS 2001 Antennas and Propagation Society International Symposium, 2001. IEEE. 1:72-75 vol.1 2001
Subject
Fields, Waves and Electromagnetics
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Engineered Materials, Dielectrics and Plasmas
Aerospace
Finite difference methods
Time domain analysis
Dispersion
Optical propagation
Magnetic fields
Military computing
Spatial resolution
Language
Abstract
For electrically large problems, the numerical dispersion inherent in the classical Yee finite-difference time-domain (FDTD) algorithm can introduce significant errors. The 3D dispersion errors of the higher-order FDTD schemes as developed by Zhang and Chen (2000) are compared with the same size computational stencil MRTD schemes using Daubechies' scaling functions (Fujii and Hoefer, 2000). The accuracy of both the higher-order FDTD schemes and the Daubechies MRTD schemes are compared via direct evaluation of the dispersion relation governing each algorithm. An optimal or near optimal Courant number is used for each scheme to further reduce numerical dispersion.