scholarly journals Application of Two-Dimensional Compressive Sensing to Wavelet Method of Moments for Fast Analysis of Wide-Angle Electromagnetic Scattering Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yi Liu ◽  
Qi Qi ◽  
Xinyuan Cao ◽  
Mingsheng Chen ◽  
Guoqing Deng ◽  
...  
Keyword(s):  
Compressive Sensing ◽  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Wide Angle ◽  
Two Dimensional ◽  
Induced Current ◽  
Linear Superposition ◽  
Scattering Problems ◽  
Wavelet Method ◽  
Right Hand

To efficiently solve the electromagnetic scattering problems over a wide incident angle, a novel scheme by introducing the two-dimensional compressive sensing theory into the wavelet method of moments is proposed. In this scheme, a linear system of equations with multiple right-hand sides in wavelet domain is formed firstly, and one side of the bilateral sparse transform to the induced current matrix is simultaneously accomplished and then the bilateral measurement of the induced current matrix is operated by the linear superposition of the right-hand side vectors a few times and the extraction of rows from the impedance matrix. Finally, after completing the other side of the bilateral sparse transform, the wide-angle problems can be solved rapidly by two times of recovery algorithm with prior knowledge. The basic principle is elaborated in detail, and the effectiveness is demonstrated by numerical experiments.

scholarly journals Application of Compressive Sensing to Asymptotic Waveform Evaluation for Fast Frequency-Sweep Analysis of Electromagnetic Scattering Problems

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Meng Kong ◽  
Ming-Sheng Chen ◽  
Xin-Yuan Cao ◽  
Xian-Liang Wu
Keyword(s):  
Compressive Sensing ◽  
Prior Knowledge ◽  
Electromagnetic Scattering ◽  
Wide Band ◽  
High Order ◽  
Induced Current ◽  
Scattering Problems ◽  
Frequency Sweep ◽  
Waveform Evaluation ◽  
Asymptotic Waveform Evaluation

To reduce the computing resource of full-scale impedance matrix and its high-order derivatives in traditional Asymptotic Waveform Evaluation (AWE), compressive sensing (CS) is applied to AWE for fast and accurate frequency-sweep analysis of electromagnetic scattering problems. In CS framework, some prior knowledge is extracted by constructing and solving undetermined equation of 0-order surface induced current, so that coefficients about high-order induced current can be accurately obtained by the prior knowledge, and finally the wide-band radar cross section (RCS) is calculated. Numerical results of two-dimensional objects and bodies of revolution (BOR) were presented to the show the efficiency of the proposed method.

STRONG AND WEAK FORMS OF THE METHOD OF MOMENTS AND THE COUPLED DIPOLE METHOD FOR SCATTERING OF TIME-HARMONIC ELECTROMAGNETIC FIELDS

1992 ◽  
Vol 03 (03) ◽  
pp. 583-603 ◽  
Author(s):  
AKHLESH LAKHTAKIA
Keyword(s):  
Electromagnetic Fields ◽  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Final Section ◽  
The Other ◽  
Numerical Techniques ◽  
Scattering Problems ◽  
Time Harmonic

Algorithms based on the method of moments (MOM) and the coupled dipole method (CDM) are commonly used to solve electromagnetic scattering problems. In this paper, the strong and the weak forms of both numerical techniques are derived for bianisotropic scatterers. The two techniques are shown to be fully equivalent to each other, thereby defusing claims of superiority often made for the charms of one technique over the other. In the final section, reductions of the algorithms for isotropic dielectric scatterers are explicitly given.

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