## Parallel implementation of the biorthogonal multiresolution time-domain method

JOSA A, Vol. 20, Issue 5, pp. 844-855 (2003)

http://dx.doi.org/10.1364/JOSAA.20.000844

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### 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.

© 2003 Optical Society of America

**OCIS Codes**

(290.4210) Scattering : Multiple scattering

(290.5880) Scattering : Scattering, rough surfaces

**Citation**

Xianyang Zhu, Lawrence Carin, and Traian Dogaru, "Parallel implementation of the biorthogonal multiresolution time-domain method," J. Opt. Soc. Am. A **20**, 844-855 (2003)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-5-844

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