Title :
Analysis of the dispersion properties of the multiresolution time-domain (MRTD) scheme
Author :
Shlager, K.L. ; Schneider, J.B.
Author_Institution :
Lockheed Martin Missiles & Space Co., Sunnyvale, CA, USA
Abstract :
A new time-domain scheme for numerically solving Maxwell´s equations, termed the multiresolution time-domain (MRTD) method was proposed by Krumpholz and Katehi (see IEEE Microwave Guided Wave Lett., vol.5, p.382-4, 1995, and IEEE Trans. Microwave Theory Tech., vol.44, p.555-71, 1996). They claimed computer savings of two orders of magnitude with respect to memory and one order of magnitude with respect to time over the classic Yee finite-difference time-domain (FDTD) scheme. In this paper, attention is given to the frequencies which are sampled on the order of 10 or 20 points per wavelength since such sampling would typically be present in problems involving broad-band signals. Results show that the MRTD scheme using the cubic spline Battle-Lemarie scaling functions may have worse dispersion properties than the classic second-order Yee algorithm for certain resolutions and choices of Courant number.
Keywords :
Maxwell equations; dispersion (wave); electromagnetic wave propagation; finite difference time-domain analysis; signal resolution; signal sampling; splines (mathematics); Courant number; EM wave propagation; Maxwell´s equations; Yee finite-difference time-domain method; broad-band signals; computer savings; cubic spline Battle-Lemarie scaling functions; dispersion properties analysis; frequencies; homogeneous medium; isotropic medium; linear medium; lossless medium; memory; multiresolution time-domain method; sampling; second-order Yee algorithm; time harmonic solution; wavelength; Dispersion; Finite difference methods; Frequency; Maxwell equations; Missiles; Sampling methods; Signal resolution; Spline; Stability; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1997. IEEE., 1997 Digest
Conference_Location :
Montreal, Quebec, Canada
Print_ISBN :
0-7803-4178-3
DOI :
10.1109/APS.1997.625392