Electromagnetic Plane Wave Excitation of an Open-Ended, Finite-Length Conducting Cylinder

Davis, A. M. J.; Scharstein, R.W.

doi:10.1163/156939393x00354

Cited by 24 publications

(15 citation statements)

References 23 publications

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“…Comparisons with the literature and the commercial software CST-MWS are shown. In Figure 4, the components of the surface current density on a cylinder, with k 0 a = 1 and b = 10a for an incident plane wave withθ = 0 deg and H 0 = 1ŷ A/m, are plotted as functions of z/b and compared with the results presented in [6], obtained by means of an EFIE formulation for the surface current density discretized by means of an analytically regularizing procedure consisting in Galerkin method with expansion functions reconstructing the physical behaviour of the unknown surface current density, and the results obtained by means of CST-MWS. Assuming N = 2 (only the cylindrical harmonics for n = ±1 contribute to reconstruct the surface current density), M = 16 has to be chosen in order to achieve a normalized truncation error less than 10 −3 .…”

Section: Numerical Resultsmentioning

confidence: 99%

A New Analytically Regularizing Method for the Analysis of the Scattering by a Hollow Finite-Length Pec Circular Cylinder

Lucido¹,

Migliore²,

Pinchera³

2016

PIER B

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Abstract-In this paper, a new analytically regularizing method, based on Helmholtz decomposition and Galerkin method, for the analysis of the electromagnetic scattering by a hollow finite-length perfectly electrically conducting (PEC) circular cylinder is presented. After expanding the involved functions in cylindrical harmonics, the problem is formulated as an electric field integral equation (EFIE) in a suitable vector transform (VT) domain such that the VT of the surface curl-free and divergence-free contributions of the surface current density, adopted as new unknowns, are scalar functions. A fast convergent secondkind Fredholm infinite matrix-operator equation is obtained by means of Galerkin method with suitable expansion functions reconstructing the expected physical behaviour of the unknowns. Moreover, the elements of the scattering matrix are efficiently evaluated by means of analytical asymptotic acceleration technique.

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Section: Numerical Resultsmentioning

confidence: 99%

A New Analytically Regularizing Method for the Analysis of the Scattering by a Hollow Finite-Length Pec Circular Cylinder

Lucido¹,

Migliore²,

Pinchera³

2016

PIER B

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“…in the neighborhood of boundary discontinuities and sources is well known and successful ( [55], [57], and [58]). This analytic solution for the static wedge problem is a valuable resource for continuing wave studies.…”

Section: F Results For the Complete Static Solutionmentioning

confidence: 99%

Acoustic or Electromagnetic Scattering from the Penetrable Wedge

Scarstein¹

1993

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Puic rwartlt WMI"n 1w Oftls €of~tao dl Iniamobn is emkaiml to &map I hourn pw teslWne, in; hen incof. seaaching eziuig data soecee. Abstract (Maximum 200 words).The intentional *or" in the title of this report emphasizes the exact, mathematical equivalence between the acoustic and electromagnetic scattering problems for a two-dimensional, penetrable wedge. A z-directed, time-harmonic line source at the transverse (xy) position r is external and parallel to the wedge of an infinite wedge of included angle 2a. Both the exterior (region 1) and interior (region 2) are composed of simple media having linear, isotropic, and homogeneous properties. The College of Engineering at The University of Alabama has an undergraduate enrollment of 1,800 students and a graduate enrollment exceeding 250. There are approximately 100 faculty members, a significant number of whom conduct research in addition to teaching.Research is an integral part of the educational program, and research interests of the faculty parallel academic specialities. A wide variety of projects are included in the overall research effort of the College, and these projects form a solid base for the graduate program which offers fourteen different master's and five different doctor of philosophy degrees.Other This University community provides opportunities for interdisciplinary work in pursuit of the basic goals of teaching, research, and public service. BUREAU OF ENGINEERING RESEARCHThe Bureau of Engineering Research (BER) is an integral part of the College of Engineering of The University of Alabama. The primary functions of the BER Include: 1) identifying sources of funds and other outside support bases to encourage and promote the research and educational activities within the College of Engineering; 2) organizing and promoting the research interests and accomplishments of the engineering faculty and students; 3) assisting in the preparation coordination, and execution of proposals, including research, equipment, and instructional proposals; 4) providing engineering faculty, students, and staff with services such as graphics and audiovisual support and typing and editing of proposals and scholarly works; 5) promoting faculty and staff development through travel and seed project support, incentive stipends, and publicity related to engineering faculty, students, and programs; 6) developing innovative methods by which the College of Engineering can increase its effectiveness in providing high quality educational opportunities for those with whom it has contact; and 7) providing a source of timely and accurate data that reflect the variety and depth of contributions made by the faculty, students and staff of the College of Engineering to the overall success of the University in meeting its mission.Through these activities, the BER serves as a unit dedicated to assisting the College of Engineering faculty by providing significant and quality service activities. ABSTRACTAn integral transform analysis of the static and time-harmonic scattering of the scalar ...

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“…Another formulation is to write 19Þ This leads to where T n is a Chebyshev polynomial of the first kind, chosen because the squareroot factor is the weight function in the orthogonality property of {T n :nR0} (Davis & Scharstein 1993 The orthogonality properties of Chebyshev polynomials yield the equation Keeping two terms in the Chebyshev expansion suffices to obtain equation (2.29). Clearly this process can be continued to as many terms as needed in the series equation (2.22).…”

Section: The Patch Problemmentioning

confidence: 99%

Perturbation of eigenvalues due to gaps in two-dimensional boundaries

Davis

Smith

2006

Proc. R. Soc. A.

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Motivated by problems involving diffusion through small gaps, we revisit twodimensional eigenvalue problems with localized perturbations to Neumann boundary conditions. We recover the known result that the gravest eigenvalue is O(jln ej K1 ), where e is the ratio of the size of the hole to the length-scale of the domain, and provide a simple and constructive approach for summing the inverse logarithm terms and obtaining further corrections. Comparisons with numerical solutions obtained for special geometries, both for the Dirichlet 'patch problem' where the perturbation to the boundary consists of a different boundary condition and for the gap problem, confirm that this approach is a simple way of obtaining an accurate value for the gravest eigenvalue and hence the long-term outcome of the underlying diffusion problem.

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Electromagnetic Plane Wave Excitation of an Open-Ended, Finite-Length Conducting Cylinder

Cited by 24 publications

References 23 publications

A New Analytically Regularizing Method for the Analysis of the Scattering by a Hollow Finite-Length Pec Circular Cylinder

A New Analytically Regularizing Method for the Analysis of the Scattering by a Hollow Finite-Length Pec Circular Cylinder

Acoustic or Electromagnetic Scattering from the Penetrable Wedge

Perturbation of eigenvalues due to gaps in two-dimensional boundaries

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