Title :
Nonlinear time-domain modeling by multiresolution time domain (MRTD)
Author :
Krumpholz, Michael ; Winful, Herbert G. ; Katehi, Linda P B
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
A multiresolution time-domain (MRTD) scheme based on the expansion in scaling functions is applied to the modeling of nonlinear pulse propagation. Appropriate absorbers for the MRTD scheme are presented and their performance is discussed. The differences using pulse functions and nonlocalized basis functions like the Battle-Lemarie scaling functions are demonstrated by deriving time-domain schemes for both sets of orthonormal basis functions
Keywords :
electromagnetic wave propagation; time-domain analysis; wavelet transforms; Battle-Lemarie scaling functions; absorbers; multiresolution time domain; nonlinear pulse propagation; nonlinear time-domain modeling; nonlocalized basis functions; orthonormal basis functions; pulse functions; time-domain schemes; Electromagnetic modeling; Finite difference methods; Integral equations; Maxwell equations; Moment methods; Multiresolution analysis; Optical pulses; Partial differential equations; Time domain analysis; Wavelet domain;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on