Asymptotic Green's function of a surface magnetic current element on a perfect electric conductor plane covered by a lossy dielectric substrate

1999 ◽  
Vol 47 (2) ◽  
pp. 309-316 ◽  
Author(s):  
B. Stockbroeckx ◽  
A. Vander Vorst
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Dielectric Substrate ◽  
Perfect Electric Conductor ◽  
Electric Conductor ◽  
Magnetic Current ◽  
Lossy Dielectric

scholarly journals Method of Moment Analysis of Carbon Nanotubes Embedded in A Lossy Dielectric Slab Using A Multilayer Dyadic Green’s Function

2021 ◽  
Author(s):  
SUMITRA DEY ◽  
Deb chatterjee ◽  
Edward Garboczi ◽  
Ahmed M. Hassan
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Dielectric Slab ◽  
Method Of Moment ◽  
Dyadic Green’S Function ◽  
Dyadic Green's Function ◽  
Aspect Ratios ◽  
Wide Range ◽  
Speed Up ◽  
Lossy Dielectric

<div>Modeling the electromagnetic response of carbon nanotube (CNT) reinforced composites is inherently a three dimensional (3D) multi-scale problem that is challenging to solve in real-time for nondestructive evaluation applications. This article presents a fast and accurate full-wave electromagnetic solver based on a multi-layer dyadic Green’s function approach. In this approach, we account for the effects of the dielectric slab, where the CNTs are embedded, without explicitly discretizing its interfaces. Due to their large aspect ratios, the CNTs are modeled as arbitrary thin wires (ATWs), and the method of moment (MoM) formulation with distributed line impedance is used to solve for their coupled currents. The accuracy of the inhouse solver is validated against commercial method of moment (MoM) and finite element method (FEM) solvers over a broad range of frequencies (from 1 GHz to 10 THz) and for a wide range of dielectric slab properties. Examples of 100nm long vertical and horizontal CNTs embedded in a 1 μm thick lossy dielectric substrate are presented. The in-house solver provides more than 50 ✕ speed up while solving the vertical CNT, and more than 570 ✕ speed up while solving the horizontal CNT than a commercial MoM solver over the GHz to THz frequency range.</div>

scholarly journals Method of Moment Analysis of Carbon Nanotubes Embedded in A Lossy Dielectric Slab Using A Multilayer Dyadic Green’s Function

2021 ◽  
Author(s):  
SUMITRA DEY ◽  
Deb chatterjee ◽  
Edward Garboczi ◽  
Ahmed M. Hassan
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Dielectric Slab ◽  
Method Of Moment ◽  
Dyadic Green’S Function ◽  
Dyadic Green's Function ◽  
Aspect Ratios ◽  
Wide Range ◽  
Speed Up ◽  
Lossy Dielectric

<div>Modeling the electromagnetic response of carbon nanotube (CNT) reinforced composites is inherently a three dimensional (3D) multi-scale problem that is challenging to solve in real-time for nondestructive evaluation applications. This article presents a fast and accurate full-wave electromagnetic solver based on a multi-layer dyadic Green’s function approach. In this approach, we account for the effects of the dielectric slab, where the CNTs are embedded, without explicitly discretizing its interfaces. Due to their large aspect ratios, the CNTs are modeled as arbitrary thin wires (ATWs), and the method of moment (MoM) formulation with distributed line impedance is used to solve for their coupled currents. The accuracy of the inhouse solver is validated against commercial method of moment (MoM) and finite element method (FEM) solvers over a broad range of frequencies (from 1 GHz to 10 THz) and for a wide range of dielectric slab properties. Examples of 100nm long vertical and horizontal CNTs embedded in a 1 μm thick lossy dielectric substrate are presented. The in-house solver provides more than 50 ✕ speed up while solving the vertical CNT, and more than 570 ✕ speed up while solving the horizontal CNT than a commercial MoM solver over the GHz to THz frequency range.</div>

Analysis of finite frequency selective surfaces backed by dielectric substrate using sub-entire-domain basis function method

2015 ◽  
Vol 34 (4) ◽  
pp. 1144-1155 ◽  
Author(s):  
Quan-Quan Wang ◽  
Hong-Bo Zhu ◽  
Ru-Shan Chen ◽  
Yun-Qin Hu
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Basis Function ◽  
Function Method ◽  
Dielectric Substrate ◽  
Reflection And Transmission Coefficients ◽  
Far Field ◽  
Reflection And Transmission ◽  
Content Type ◽  
Transmission Coefficients

Purpose – Analysis of the frequency selective surface (FSS) is of great significance. In the method of moments, when the electric size of the FSS increases, huge in-core memory and CPU time are required. The purpose of this paper is to efficiently analyze the finite FSS backed by dielectric substrate utilizing sub-entire-domain (SED) basis function method. Design/methodology/approach – Different types of SED basis functions are generated according to the locations of the cells in the entire structure, and a reduced system is constructed and solved. The couplings of all cells of the FSS are taken into account by using Green’s function and Galerkin’s test procedure. The spatial Green’s function is obtained with the discrete complex image method. The reflection and transmission coefficients of the FSS are calculated using the far field of the FSS and the metallic plate with the same size. Findings – Moderate problems of the finite FSS backed by dielectric substrate are solved with the SED basis function method. The original problem can be simplified to two smaller problems. It enables a significant reduction to the matrix size and storage, and efficient analysis of FSS can be performed. The band-stop type of FSS can be composed of periodic conductive patch cells on the dielectric substrate, and shows total reflection property at the resonant frequency. Originality/value – The SED basis function method is mostly used to analyze periodic PEC structures in free space. The layered medium Green’s function is successfully employed and several dielectric substrate backed finite FSSs are discussed in this paper. The calculation of reflection and transmission coefficients, which are more effective rather than far field scattering of the FSS, are described.

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