TY - JOUR
T1 - Parallel implementation of the biorthogonal multiresolution time-domain method
AU - Zhu, Xianyang
AU - Carin, Lawrence
AU - Dogaru, Traian
N1 - Generated from Scopus record by KAUST IRTS on 2021-02-09
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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. © 2003 Optical Society of America.
AB - 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. © 2003 Optical Society of America.
UR - https://www.osapublishing.org/abstract.cfm?URI=josaa-20-5-844
UR - http://www.scopus.com/inward/record.url?scp=0038797850&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.20.000844
DO - 10.1364/JOSAA.20.000844
M3 - Article
SN - 1084-7529
VL - 20
SP - 844
EP - 855
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 5
ER -