Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems


Journal Article

A three-dimensional (3-D) multiresolutlon time-domain (MRTD) analysis is presented based on a biorthogonal-wavelet expansion, with application to electromagnetic-scattering problems. We employ the Cohen-Daubechies-Feauveau (CDF) biorthogonal wavelet basis, characterized by the maximum number of vanishing moments for a given support. We utilize wavelets and scaling functions of compact support, yielding update equations involving a small number of proximate field components. A detailed analysis is presented on algorithm implementation, with example numerical results compared to data computed via the conventional finite-difference time-domain (FDTD) method. It is demonstrated that for 3-D scattering problems the CDF-based MRTD often provides significant computational savings (in computer memory and run time) relative to FDTD, while retaining numerical accuracy.

Full Text

Duke Authors

Cited Authors

  • Zhu, X; Dogaru, T; Carin, L

Published Date

  • May 1, 2003

Published In

Volume / Issue

  • 51 / 5

Start / End Page

  • 1085 - 1092

International Standard Serial Number (ISSN)

  • 0018-926X

Digital Object Identifier (DOI)

  • 10.1109/TAP.2003.811527

Citation Source

  • Scopus