Scattering from multiple conducting and dielectric bodies of arbitrary shape

Arvas, E.; Arabi, Amin; Sadigh, Ali Naimi; Rao, Sadasiva M.

doi:10.1109/74.88184

Cited by 31 publications

(16 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is the initial discretized system matrix equation, which presents only the (approximative) integral equations (10)- (12) in each subdomain and not the entire scattering and transmission field problem, because the interactions between the dielectric domains have not yet been taken into account via the boundary conditions. Also extra equations must be removed by applying the the integral equation formulation.…”

Section: Discretization By the Galerkin Methods And Rwg Basis Functionsmentioning

confidence: 99%

“…However, the treatment of the field problem of a general composite structure with multiple material junctions remains challenging. Many earlier papers on this topic only consider rotationally or axially symmetric objects, e.g., [2][3][4][5][6][7], or if general 3D objects are considered, [8][9][10][11][12][13][14], either the metallic surfaces and interfaces of dielectric objects are not allowed to touch each other, or the question of the modeling the surface currents and testing procedure at junctions is more or less omitted. There are, however, several papers which discuss the general junction problem in detail, e.g., [5,15,16], [17] pp.…”

Section: Introductionmentioning

confidence: 99%

“…EFIE-PMCHWT is the usual formulation for general composite structures [9,[11][12][13][14][15][16][17] and [18]. In this formulation Electric Field Integral Equation (EFIE) is applied on metallic surfaces and the Poggio-MillerChang-Harrington-Wu-Tsai (PMCHWT) formulation [20] is applied on the dielectric interfaces, but it is not sufficient for removing the interior resonances if the structure includes closed metallic surfaces.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Surface Integral Equation Method for General Composite Metallic and Dielectric Structures With Junctions

Ylä‐Oijala¹,

Taskinen²,

Sarvas³

2005

PIER

180

103

View full text Add to dashboard Cite

Abstract-The surface integral equation method is applied for the electromagnetic analysis of general metallic and dielectric structures of arbitrary shape. The method is based on the EFIE-CFIE-PMCHWT integral equation formulation with Galerkins type discretization. The numerical implementation is divided into three independent steps: First, the electric and magnetic field integral equations are presented and discretized individually in each non-metallic subdomain with the RWG basis and testing functions. Next the linearly dependent and zero unknowns are removed from the discretized system by enforcing the electromagnetic boundary conditions on interfaces and at junctions. Finally, the extra equations are removed by applying the wanted integral equation formulation, and the reduced system is solved. The division into these three steps has two advantages. Firstly, it greatly simplifies the treatment of composite objects with multiple metallic and dielectric regions and junctions since the boundary conditions are separated from the discretization and integral equation formulation. In particular, no special junction basis functions or special testing procedures at junctions are needed. Secondly, the separation of the integral equation formulation from the two previous steps makes it easy to modify the procedure for other formulations. The method is validated by numerical examples.

show abstract

Section: Discretization By the Galerkin Methods And Rwg Basis Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Surface Integral Equation Method for General Composite Metallic and Dielectric Structures With Junctions

Ylä‐Oijala¹,

Taskinen²,

Sarvas³

2005

PIER

180

103

View full text Add to dashboard Cite

show abstract

“…Although RWG functions were designed to solve PEC body problems, these functions have been used for dielectric body problems also. For the more complex case of dielectric scattering, a correct solution may be obtained by using the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation [3], [4] and representing equivalent electric and magnetic surface currents, called and , respectively, with a single basis function [5], [6]. However, this practice of using the same basis function for and is not successful for other formulations such as the electric field integral equation (EFIE), magnetic field integral equation (HFIE), and combined field integral equation (CFIE) formulations unless special testing schemes are developed [7].…”

Section: Introductionmentioning

confidence: 99%

“…The elements for the EFIE solution, region 2, are found in a similar manner. For the HFIE solution, region 1given by the definitions of and ,(6) and(20), respectively, except that has replaced and the source areas are restricted to the th source regions. The elements for the HFIE solution, region 2, are found in a similar manner.…”

mentioning

confidence: 99%

Electromagnetic Scattering From Arbitrarily Shaped Dielectric Bodies Using Paired Pulse Vector Basis Functions and Method of Moments

Mackenzie

Rao

Baginski

2009

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

A pair of orthogonal pulse vector basis functions is demonstrated for the calculation of electromagnetic scattering from arbitrarily-shaped material bodies. The basis functions are intended for use with triangular surface patch modeling applied to a method of moments (MoM) solution. For modeling the behavior of dielectric materials, several authors have used the same set of basis functions to represent equivalent electric and magnetic surface currents. This practice can result in zero-valued or very small diagonal terms in the moment matrix and an unstable numerical solution. To provide a more stable solution, we have developed orthogonally placed, pulse basis vectors: one for the electric surface current and one for the magnetic surface current. This combination ensures strongly diagonal moment matrices. The basis functions are suitable for electric field integral equation (EFIE), magnetic field integral equation (HFIE), and combined field formulations. In this work, we describe the implementations for EFIE and HFIE formulations and show example results for canonical figures.Index Terms-Basis functions, boundary integral equations, conducting materials, dielectric materials, electromagnetic scattering, method of moments (MoM).

show abstract

Mathematical Modeling of EMF Energy Absorption in Biological Systems

Gajšek¹,

D'Andrea²,

Mason³

et al. 2003

Biological Effects of Electromagnetic Fields

View full text Add to dashboard Cite

3D shapes. For the comparison of these three methods however, the homogeneous head model is used in all cases.In section 3.4, the Specific Absorption Rate (SAR), which is a quantitative measure of the election field energy deposited in the human tissue, is estimated P. Stavroulakis (ed.), Biological Effects of Electromagnetic Fields © Springer-Verlag Berlin Heidelberg 2003 3.2 Mathematical Modeling Using Experimental and Theoretical Methods ... 1243 Mathematical Modeling of EMF Energy Absorption in Biological Systems the wave transmitted into the object attenuates as it travels and transfers energy to the object. The more lossy the object, the more rapidly the wave attenuates. This characteristic is described by skin depth: the depth at which the Eand H-fields have decayed to e-1 (0.368) of their value at the surface of the object. Skin depth is also the depth at which the Poynting vector has decayed to e-2 (0.135) of its value at the surface. At higher frequencies, the skin depth is very small; thus most of the energy from the fields is absorbed near the surface. For example, for biological material at 2450 MHz the skin depth is about 2 cm; at 10 GHz, it is about 0.4 cm.Other models--spheres, cylinders, prolate spheroids, block models (cubical mathematical cells arranged in a shape like a human body)--have been used to represent the human body in calculating and measuring energy absorbed during plane wave irradiation [61], [57]. The internal E-and H-fields are functions of the incident fields, the frequency, the permittivity, and the size and shape of the object. Especially important for non planar objects are the effects of the polarization of the incident fields.

show abstract

Scattering from multiple conducting and dielectric bodies of arbitrary shape

Cited by 31 publications

References 5 publications

Surface Integral Equation Method for General Composite Metallic and Dielectric Structures With Junctions

Surface Integral Equation Method for General Composite Metallic and Dielectric Structures With Junctions

Electromagnetic Scattering From Arbitrarily Shaped Dielectric Bodies Using Paired Pulse Vector Basis Functions and Method of Moments

Mathematical Modeling of EMF Energy Absorption in Biological Systems

Contact Info

Product

Resources

About