Publications [#338974] of Lawrence Carin

Papers Published

1. 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, vol. 51 no. 5 (May, 2003), pp. 1085-1092, Institute of Electrical and Electronics Engineers (IEEE) [TAP.2003.811527], [doi]
   (last updated on 2024/12/31)

   Abstract:
   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.

   Keywords:
   Wavelet transforms;Finite difference method;Time domain analysis;Algorithms;