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Application of Wavelets to Scattering Problems of Inhomogeneous Dielectric Slabs
JengLong LEOU JiunnMing HUANG ShyhKang JENG HsuehJyh LI
Publication
IEICE TRANSACTIONS on Communications
Vol.E82B
No.10
pp.16671676 Publication Date: 1999/10/25 Online ISSN:
DOI: Print ISSN: 09168516 Type of Manuscript: PAPER Category: Electronic and Radio Applications Keyword: wavelet, scattering, method of moment, integral equation,
Full Text: PDF(1MB)>>
Summary:
In this paper, we apply the discrete wavelet transform (DWT) and the discrete wavelet packet transform (DWPT) with the Daubechies wavelet of order 16 to effectively solve for the electromagnetic scattering from a onedimensional inhomogeneous slab. Methods based on the excitation vector and the [Z] matrix are utilized to sparsify an MoM matrix. As we observed, there are no much high frequency components of the field in the dielectric region, hence the wavelet coefficients of the small scales components (high frequency components) are very small and negligible. This is different from the case of twodimensional scattering from perfect conducting objects. In the excitationvectorbased method, a modified excitation vector is introduced to extract dominant terms and achieve a better compression ratio of the matrix. However, a smaller compression ratio and a tiny relative error are not obtained simultaneously owing to their deletion of interaction between different scales. Hence, it is inferior to the [Z]matrixbased methods. For the [Z]marixbased methods, our numerical results show the columntreebased DWPT method is a better choice to sparsify the MoM matrix than DWTbased and other DWPTbased methods. The cost of a matrixvector multiplication for the waveletdomain sparse matrix is reduced by a factor of 10, compared with that of the original dense matrix.


