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Wavelet moment method for solving electromagnetic scattering problems in applied research

Author: ZhongDuXian
Tutor: WuXianLiangï¼›ChenMingSheng
School: Anhui University
Course: Circuits and Systems
Keywords: Wavelet Transform Method of Moments Periodic wavelet Lifting Wavelet Transform PMCHWT equation
CLC: O441
Type: Master's thesis
Year: 2010
Downloads: 69
Quote: 0
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Abstract


Method of moments (MOM) is the electric field integral equation (EFIE) becomes linear equations, solving electromagnetic scattering problems is an effective method , computational electromagnetics is the most widely used in the frequency domain methods . The main application of the method of moments from the following four aspects . Basis functions and test functions reasonable selection , singularity cleverly treated quickly fill the matrix elements , and the effective implementation of the inverse process . This paper 's research are: the wavelet analysis with the moment wears fusion, using discrete wavelet transform and continuous wavelet transform to analyze the different characteristics , different sizes, different scattering properties of the target band . First, the wavelet theory has been a general introduction . Secondly , the use of electric and magnetic field integral equation to achieve a single goal in the metal periodic wavelets and multi- target scattering in the application, and made a pair of wavelet function of the physical optics pretreatment method , effectively reducing the impedance matrix of dimension and condition number . Finally, the use of mixed field integral equation , Poggio, Miller, Chang, Harrington, Wu, and Tsai (PMCHWT) equation, the volume integral equation, metal body , medium body , non- uniform effective radar cross section of the object estimate will be based the lifting scheme wavelet-like pre- operator , for sparse impedance matrix , thereby reducing the complexity of various iterative method , saving computation time . Numerical results show that : to ensure high-precision approximation scattering body surface currents in the premise, by dropping a large number of \In addition, to ensure the premise of constant compression ratio , fast lifting wavelet transform, wavelet transform savings than conventional pretreatment matrix memory and increased by about 1 times the computing time. It acts as a preprocessing operator, can be widely used in electromagnetic scattering and radiation problems in numerical calculation.

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CLC: > Mathematical sciences and chemical > Physics > Electromagnetics,electrodynamics > Electricity and Magnetism
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