MRTD: new time-domain schemes based on multiresolution analysis

Author

Krumpholz, Michael ; Katehi, Linda P B

Author_Institution

Radiation Lab., Michigan Univ., Ann Arbor, MI, USA

Volume

44

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

555

Lastpage

571

Abstract

The application of multiresolution analysis to Maxwell´s equations results in new multiresolution time-domain (MRTD) schemes with unparalleled inherent properties. In particular, the approach allows the development of MRTD schemes which are based on scaling functions only or on a combination of scaling functions and wavelets leading to a variable mesh grading. The dispersion of the MRTD schemes compared to the conventional Yee finite-difference time-domain (FDTD) scheme shows an excellent capability to approximate the exact solution with negligible error for sampling rates approaching the Nyquist limit. Simple microwave structures including dielectric materials are analyzed in order to illustrate the application of the MRTD schemes and to demonstrate the advantages over Yee´s FDTD scheme with respect to memory requirements and execution time

Keywords

Maxwell equations; electromagnetic fields; mesh generation; microwave devices; time-domain analysis; wavelet transforms; MRTD; Maxwell´s equations; Nyquist limit; microwave structures; multiresolution analysis; sampling rates; scaling functions; time-domain schemes; variable mesh grading; wavelets; Dielectric materials; Electromagnetic modeling; Finite difference methods; Frequency domain analysis; Integral equations; Maxwell equations; Moment methods; Multiresolution analysis; Sampling methods; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.491023

Filename

491023