A numerically efficient technique for the method of moments solution of electromagnetic problem associated with planar periodic structures

1988 ◽  
Vol 1 (10) ◽  
pp. 372-374 ◽  
Author(s):  
C. H. Chan
Keyword(s):  
Method Of Moments ◽  
Periodic Structures ◽  
Efficient Technique

Method of Moments (MoM) for the Analysis of Dielectric Double Periodic Structures

2012 ◽  
Vol 241-244 ◽  
pp. 1531-1534
Author(s):  
Shan Zhao ◽  
Nai Qian Zhang ◽  
Dong Li
Keyword(s):  
Method Of Moments ◽  
Periodic Boundary ◽  
Periodic Structures ◽  
Periodic Boundary Conditions ◽  
Spatial Domain ◽  
Three Dimension ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
Filling Time ◽  
Lossy Material

The space-domain volume integral equation (VIE) method is presented for the analysis of three-dimension (3-D) scattering from dielectric frequency selective structures (DFSS) involved homogeneous and inhomogeneous lossy material. The method solves directly for the electric field in order to easily enable periodic boundary conditions in the spatial domain. The computation of the spatial domain periodic Green’s function (PGF) is accelerated by the modified Ewald transformation. Optimized interpolation procedures for the PGFs can be applied, resulting in a considerable reduction of matrix-filling time without any significant effect on the accuracy.

Acceleration of Wavelet-based Method of Moments for Periodic Structures

2009 ◽  
Vol 129 (10) ◽  
pp. 729-735
Author(s):  
Hidetoshi Chiba ◽  
Kazushi Nishizawa ◽  
Hiroaki Miyashita ◽  
Yoshihiko Konishi
Keyword(s):  
Method Of Moments ◽  
Periodic Structures

scholarly journals Method of Moments Based on Equivalent Periodic Problem and FFT with NURBS Surfaces for Analysis of Multilayer Periodic Structures

Electronics ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 234 ◽  
Author(s):  
Rafael Florencio ◽  
Álvaro Somolinos ◽  
Iván González ◽  
Felipe Cátedra
Keyword(s):  
Method Of Moments ◽  
Original Problem ◽  
Periodic Structures ◽  
Periodic Problem ◽  
Nurbs Surface ◽  
Direct Computation ◽  
Cpu Time ◽  
Phase Errors ◽  
Nurbs Surfaces ◽  
Time Savings

In this paper, an efficient technique of computation of method of moments (MM) matrix entries for multilayer periodic structures with NURBS surface and Bézier patches modelling is proposed. An approximation in terms of constant pulses of generalized rooftop basis functions (BFs) defined on Bézier patches is proposed. This approximation leads discrete convolutions instead of usual continuous convolution between Green’s functions and BFs obtained by the direct mixed potential integral equation (MPIE) approach. An equivalent periodic problem (EPP) which contains the original problem is proposed to transform the discrete convolutions in discrete cyclic convolutions. The resultant discrete cyclic convolutions are computed by efficiently using the Fast Fourier Transform (FFT) procedure. The performance of the proposed method and direct computation of the MM entries are compared for phases of reflection coefficient. The proposed method is between 9 and 50 times faster than the direct computation for phase errors less than 1 deg. The proposed method exhibits a behaviour of CPU time consumption of O(NbLog10Nb) as the number Nb of BFs increases. This behaviour provides significant CPU time savings with respect to the expected behaviour of O(Nb2) provided by the direct computation of the MM matrix entries.

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