Parallel implementation of the biorthogonal multiresolution time-domain method.


Journal Article

The three-dimensional biorthogonal multiresolution time-domain (Bi-MRTD) method is presented for both free-space and half-space scattering problems. The perfectly matched layer (PML) is used as an absorbing boundary condition. It has been shown that improved numerical-dispersion properties can be obtained with the use of smooth, compactly supported wavelet functions as the basis, whereas we employ the Cohen-Daubechies-Fouveau (CDF) biorthogonal wavelets. When a CDF-wavelet expansion is used, the spatial-sampling rate can be reduced considerably compared with that of the conventional finite-difference time-domain (FDTD) method, implying that larger targets can be simulated without sacrificing accuracy. We implement the Bi-MRTD on a cluster of allocated-memory machines, using the message-passing interface (MPI), such that very large targets can be modeled. Numerical results are compared with analytical ones and with those obtained by use of the traditional FDTD method.

Full Text

Duke Authors

Cited Authors

  • Zhu, X; Carin, L; Dogaru, T

Published Date

  • May 2003

Published In

Volume / Issue

  • 20 / 5

Start / End Page

  • 844 - 855

PubMed ID

  • 12747432

Pubmed Central ID

  • 12747432

Electronic International Standard Serial Number (EISSN)

  • 1520-8532

International Standard Serial Number (ISSN)

  • 1084-7529

Digital Object Identifier (DOI)

  • 10.1364/josaa.20.000844


  • eng