Publications [#338963] of Lawrence Carin

Papers Published

1. Zhu, X; Carin, L; Dogaru, T, Parallel implementation of the biorthogonal multiresolution time-domain method., Journal of the Optical Society of America. A, Optics, image science, and vision, vol. 20 no. 5 (May, 2003), pp. 844-855 [doi]
   (last updated on 2024/12/31)

   Abstract:
   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.

   Keywords:
   Interfaces (computer);Time domain analysis;Finite difference method;Algorithms;Computer simulation;