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

Publication ,  Journal Article
Zhu, X; Dogaru, T; Carin, L
Published in: IEEE Transactions on Antennas and Propagation
May 1, 2003

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.

Duke Scholars

Published In

IEEE Transactions on Antennas and Propagation

DOI

ISSN

0018-926X

Publication Date

May 1, 2003

Volume

51

Issue

5

Start / End Page

1085 / 1092

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
 

Citation

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Zhu, X., Dogaru, T., & Carin, L. (2003). Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems. IEEE Transactions on Antennas and Propagation, 51(5), 1085–1092. https://doi.org/10.1109/TAP.2003.811527
Zhu, X., T. Dogaru, and L. Carin. “Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems.” IEEE Transactions on Antennas and Propagation 51, no. 5 (May 1, 2003): 1085–92. https://doi.org/10.1109/TAP.2003.811527.
Zhu X, Dogaru T, Carin L. Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems. IEEE Transactions on Antennas and Propagation. 2003 May 1;51(5):1085–92.
Zhu, X., et al. “Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems.” IEEE Transactions on Antennas and Propagation, vol. 51, no. 5, May 2003, pp. 1085–92. Scopus, doi:10.1109/TAP.2003.811527.
Zhu X, Dogaru T, Carin L. Three-dimensional biorthogonal multiresolution time-domain method and its application to electromagnetic scattering problems. IEEE Transactions on Antennas and Propagation. 2003 May 1;51(5):1085–1092.

Published In

IEEE Transactions on Antennas and Propagation

DOI

ISSN

0018-926X

Publication Date

May 1, 2003

Volume

51

Issue

5

Start / End Page

1085 / 1092

Related Subject Headings

  • Networking & Telecommunications
  • 4009 Electronics, sensors and digital hardware
  • 4008 Electrical engineering
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering