Combined field integral equation formulation for inhomogeneous two- and three-dimensional bodies: the junction problem

Putnam, J.M.; Medgyesi-Mitschang, L.

doi:10.1109/8.81498

Cited by 65 publications

(31 citation statements)

References 6 publications

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“…The solid curve in Figure 4 shows the E-plane radar cross section (RCS) pattern calculated with the combined field integral equation (CFIE) implemented in the computer code CICERO [14] using a discretization of the spheroid generating curve of 40 points/λ. The dotted curve in Figure 4 is the pattern obtained by solving the conventional EFIE with the Galerkin form of the method of moments and overlapping triangle basis functions with a point density of 20 points/λ.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The φ dependence of the current given by (14) is expressed as a summation from −N to N of the Fourier modes e jnφ . The value of N can be set equal to the number of Fourier modes sufficient to represent (to the desired accuracy) the φ variation of the tangential component of the incident electric field on the surface of the BOR.…”

Section: Number Of Fourier Modes For Expansion and Testing Functionsmentioning

confidence: 99%

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A Low-Order-Singularity Electric-Field Integral Equation Solvable With Pulse Basis Functions and Point Matching

Shore¹,

Yaghjian²

2005

PIER

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Abstract-The conventional form of the electric-field integral equation (EFIE), unlike the magnetic-field integral equation, cannot be solved accurately with the method of moments using pulse basis functions and point matching. A new form of the EFIE is derived whose kernel has no greater singularity than that of the free-space Green's function. This low-order-singularity form of the EFIE, the LEFIE, is solved numerically for perfectly electrically conducting bodies of revolution (BORs) using pulse basis functions and pointmatching. Derivatives of the current are approximated with finite differences using a quadratic Lagrangian interpolation polynomial. Such a simple solution of the LEFIE is contingent, however, upon the vanishing of a linear integral that appears when the original EFIE is transformed to obtain the LEFIE. This generally restricts the applicability of the LEFIE to smooth closed scatterers. Bistatic scattering calculations performed for a prolate spheroid demonstrate that results comparable in accuracy to those of the conventionally solved EFIE can be obtained with the LEFIE using pulse basis functions and point matching provided a higher density of points is used close to the ends of the BOR.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Number Of Fourier Modes For Expansion and Testing Functionsmentioning

confidence: 99%

A Low-Order-Singularity Electric-Field Integral Equation Solvable With Pulse Basis Functions and Point Matching

Shore¹,

Yaghjian²

2005

PIER

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“…Some previous algorithms for current continuity described in [3][4][5] require the use of special half-basis functions at junction edges, instead of the ordinary full Rao-WiltonGlisson (RWG) functions [6] which are preferable due to their simplicity. These special functions need different integration rules in different parts of each surface, which adds an additional burden in implementation.…”

Section: R2mentioning

confidence: 99%

A computational method for modeling arbitrary junctions employing different surface integral equation formulations for three-dimensional scattering and radiation problems

Gómez‐Sousa

Rubiños-López

Martínez-Lorenzo

et al. 2016

Journal of Electromagnetic Waves and Applications

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This paper presents a new method, based on the well-known method of moments (MoM), for the numerical electromagnetic analysis of scattering and radiation from metallic or dielectric structures, or both structure types in the same simulation, that are in contact with other metallic or dielectric structures. The proposed method for solving the MoM junction problem consists of two separate algorithms, one of which comprises a generalization for bodies in contact of the surface integral equation (SIE) formulations. Unlike some other published SIE generalizations in the field of computational electromagnetics, this generalization does not require duplicating unknowns on the dielectric separation surfaces. Additionally, this generalization is applicable to any ordinary single-scatterer SIE formulations employed as baseline. The other algorithm deals with enforcing boundary conditions and Kirchhoff's Law, relating the surface current flow across a junction edge. Two important features inherent to this latter algorithm consist of a mathematically compact description in matrix form, and, importantly from a software engineering point of view, an easy implementation in existing MoM codes which makes the debugging process more comprehensible. A practical example involving a real grounded monopole antenna for airplane-satellite communication is analyzed for validation purposes by comparing with precise measurements covering different electrical sizes.

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“…It is well-known that the implementation of such continuities in the framework of a SIE-MoM solver becomes rather tedious [52,53]. An alternative simple way to handle this casuistic was proposed in [25], with the aid of so-called multiregion (MR) piecewise vector basis functions.…”

Section: Methods Of Moments For Surface Integral Equationsmentioning

confidence: 99%

SQUEEZING MAXWELL'S EQUATIONS INTO THE NANOSCALE (Invited Paper)

Solís¹,

Taboada²,

Landesa³

et al. 2015

PIER

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Abstract-The plasmonic behavior of nanostructured materials has ignited intense research for the fundamental physics of plasmonic structures and their cutting-edge applications concerning the fields of nanoscience and biosensing. The optical response of plasmonic metals is generally well-described by classical Maxwell's Equations (ME). Thus, the understanding of plasmons and the design of plasmonic nanostructures can therefore directly benefit from lastest advances achieved in classic research areas such as computational electromagnetics. In this context, this paper is devoted to review the most recent advances in nanoplasmonic modeling, related with the latest breakthroughs in surface integral equation (SIE) formulations derived from ME. These works have extended the scope of application of Maxwell's Equations, from microwave/milimeter waves to infrared and optical frequency bands, in the emerging fields of nanoscience and medical biosensing.

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Combined field integral equation formulation for inhomogeneous two- and three-dimensional bodies: the junction problem

Cited by 65 publications

References 6 publications

A Low-Order-Singularity Electric-Field Integral Equation Solvable With Pulse Basis Functions and Point Matching

A Low-Order-Singularity Electric-Field Integral Equation Solvable With Pulse Basis Functions and Point Matching

A computational method for modeling arbitrary junctions employing different surface integral equation formulations for three-dimensional scattering and radiation problems

SQUEEZING MAXWELL'S EQUATIONS INTO THE NANOSCALE (Invited Paper)

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