Journal of Applied Sciences ›› 2010, Vol. 28 ›› Issue (5): 527-532.doi: 10.3969/j.issn.0255-8297.2010.05.013

• Electronic Engineering • Previous Articles     Next Articles

Biorthorgonal Multiresolution Time-Domain Method and Application to Electromagnetic Scattering

GAO Qiang-ye1;2, ZHOU Jian-jiang1, CAO Qun-sheng1   

  1. 1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,
    Nanjing 210016, China
    2. Department of Equipment Technology, People’s Liberation Army Automobile Management Institute,
    Bengbu 233011, Anhui Province, China
  • Received:2010-03-11 Revised:2010-07-14 Online:2010-09-26 Published:2010-09-26

Abstract:

 We study a biorthogonal multiresolution time-domain (bi-MRTD) method and use it to analyze electromagnetic scattering properties and compute radar cross sections (RCS) of three-dimensional objects. Compactly supported biorthogonal Cohen-Daubechies-Feauveau(CDF) wavelets with rigorous interpolation property are employed as spatial basis functions to expand the field components. A rigorous three-dimensional calculation formula is derived by applying the wavelet-Galerkin sampling method. Dispersion properties of the bi-MRTD methods are studied. Anisotropic perfectly-matched layer (APML) is chosen to truncate the computational space. The incident wave is introduced by using the total-field/scattered-field (TF/SF) technique. Theoretical analyses and experimental results show that the bi-MRTD method can save considerable computational resources without loss of accuracy in comparison with FDTD and the MRTD method based on non-compactly supported Battle-Lemarie (B-L) wavelets.

Key words: biorthogonal multiresolution time-domain (bi-MRTD), CDF wavelet, electromagnetic scattering, dispersion property

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