Coarse meshing of smooth surfaces in the method of moments for electromagnetic scattering problems

2006 ◽  
Author(s):  
R.J. Burkholder ◽  
S.J. Leifer
Keyword(s):  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Smooth Surfaces ◽  
Scattering Problems

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.

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.

Dual Compressed Sensing Method for Solving Electromagnetic Scattering Problems by Method of Moments

2018 ◽  
Vol 17 (2) ◽  
pp. 267-270 ◽  
Author(s):  
Xinyuan Cao ◽  
Mingsheng Chen ◽  
Xianliang Wu ◽  
Meng Kong ◽  
Jinhua Hu ◽  
...  
Keyword(s):  
Compressed Sensing ◽  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Scattering Problems

scholarly journals A Hybrid 3DMLUV-FIA Method for Scattering from a 3D Dielectric Object above a 2D Dielectric Rough Surface

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Wu Xuezhi ◽  
Wenping Yu
Keyword(s):  
Rough Surface ◽  
Method Of Moments ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Memory Consumption ◽  
Scattering Problems ◽  
The Matrix ◽  
Speed Up ◽  
Stability And Accuracy ◽  
Time Overhead

The electromagnetic scattering from the composite model of a three-dimensional (3D) dielectric object located above a two-dimensional (2D) dielectric rough surface is analyzed in this work. Poggio, Miller, Chang, Harrington, Wu, and Tsai (PMCHWT) integral equations are discretized by the method of moments (MoM) into a matrix which is solved by Biconjugate Gradients Stabilized (BICGSTAB) method. Method of 3DMLUV was used for PEC object located above rough surface. Comparing to the case when object and rough surface are both PEC, the memory requirement and computational complexity for dielectric models are increased due to doubled unknown number. Moreover, compared to dielectric object in free space, the coupling between dielectric object and dielectric rough surface will result in complicated numerical simulation. To solve this problem, the updated rank based 3D Multilevel UV (3DMLUV) method is employed to reduce memory consumption and CPU time overhead. The 3DMLUV has been successfully applied in the scattering of PEC targets; however, when the object or rough surface becomes dielectric, the coupling between dielectric object and dielectric rough surface will lead to slow constriction. Therefore, the Fast Iterative Approach (FIA) is applied to further speed up the constricted speed of the matrix required in 3DMLUV. The efficiency, stability, and accuracy of the proposed method are demonstrated in a variety of scattering problems.

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