On Contributions at Syracuse University to the Moment Method

Strait, Bradley J.; Adams, A.T.

doi:10.1109/temc.1980.303860

Cited by 8 publications

(3 citation statements)

References 88 publications

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“…A concluding point to be made here is that computational methods have joined experimentation and analysis as one of the three complementary problem-solving tools of the antenna designer. Further information and more detail about moment-method modeling can be found in a number of books and summary articles [84][85][86][87][88][89][90][91].…”

Section: Concluding Commentsmentioning

confidence: 99%

Low-frequency computational electromagnetics for antenna analysis

Burke¹

1992

Proc. IEEE

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Proc. IEEE '91 DISCLAIMERThis report was prepared as an account of work sponsoredby an agency of the United States Government. Neither the United States Government nor any a_.-nc? thereof, nor any of their employees, makes any warranty, expressor implied, or assumesany legal liability or responsi-,. bility for the accuracy, completeness, or usef, lness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Referenc¢ herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise dots not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.By acceptance of ims art,cia, the pubhsher recogmzes that the U S Government retains a nonexclumve,royalty.free I=censeto DulohShor reproduce the pubhshed form Of th=SCOntr_button.or to allow others tO dO So. for U.S Government purposesThe Los Alamos Nat,anal LabOratory requests that the pubhsher ,dentJty tins art_cleas work performed under theausp, ABSTRACT An overview of low-frequency, compuational metheds for modeling the electromagnetic characteristics of antennas is presented here. The article presents a brief analytical background, and summarizes the essential ingredients of the method of moments, for numerically solving low.frequency antenna problems. Some extensions to the basic models of perfectly conducting objects in free space are also summarized, followed by a consideration of some of the some computational issues that affect model accuracy, efficiency and utility. A variety of representative computations are then presented to illustrate various modeling aspects and capabilities that are currently available. A fairly extensive bibliography is included to suggest further reference material to the reader.Low-Frequency Antenna Models, Proc. IEEE '91,

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Section: Concluding Commentsmentioning

confidence: 99%

Low-frequency computational electromagnetics for antenna analysis

Burke¹

1992

Proc. IEEE

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“…Many early developments are addressed in King's comprehensive treatise of 1956 [4], shortly before the advent of numerical methods in the mid-1960s [5,6]. The application of moment methods to thin-wire integral equations alongside their associated difficulties has a long history (see e.g., [7] and references therein, as well as [8]). In 2001, these difficulties were described in detail and attributed to the nonsolvability of the integral equation itself, rather than to the deficiency of the numerical method employed [9,10]; these discussions have since been corroborated for a variety of antenna geometries and driving configurations.…”

Section: Introductionmentioning

confidence: 99%

Alleviating oscillatory approximate-kernel solutions for cylindrical antennas embedded in a conducting medium: a numerical and asymptotic study

et al. 2020

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We alleviate the unnatural oscillations occurring in the current distribution along a linear cylindrical antenna center-driven by a delta-function generator and embedded in a conducting medium. The intensely fluctuating current arises as a small-z0 asymptotic (or numerical) solution of the classical integral equations of antenna theory, for a cylindrical dipole of infinite (or finite) length, where z0 is the discretization length. To alleviate the oscillations, we employ an appropriate effective current further to the recent remedy of oscillations attained for a perfectly conducting linear cylindrical antenna of finite length for the case where the surrounding medium is free space. We derive asymptotic formulas for the infinite antenna, which are then put to numerical test. Furthermore, we point to the physical significance of the effective current whose function transcends a mere computational device.

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“…In particular, there are very many works dealing with the application of moment methods to thinwire integral equations; an extensive list of pre-1980 such references can be found in [9]. Besides [2][3][4][5], upon which the present paper is primarily based, works that mention oscillations are [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

A POSSIBLE REMEDY FOR THE OSCILLATIONS OCCURRING IN THIN-WIRE MoM ANALYSIS OF CYLINDRICAL ANTENNAS

Papakanellos¹,

Fikioris²

2007

PIER

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Abstract-Approximate, non-singular kernels are often used in moment-method formulations coping with thin-wire structures. Their use has important consequences, one of which is the appearance of oscillations in the computed currents when the number of sub-domain basis functions is sufficiently large. These oscillations are not due to round-off errors. In this paper, a smoothing procedure is used in conjunction with Galerkin's formulation with piecewise sinusoidal functions, which yields non-oscillating current distributions. Special attention is paid to the solutions over a wide range of discretization levels (number of basis/testing functions), in order to examine and illustrate the similarities and differences between results obtained with and without the proposed remedy. Finally, a comparison with results derived with the exact kernel is provided.

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On Contributions at Syracuse University to the Moment Method

Cited by 8 publications

References 88 publications

Low-frequency computational electromagnetics for antenna analysis

Low-frequency computational electromagnetics for antenna analysis

Alleviating oscillatory approximate-kernel solutions for cylindrical antennas embedded in a conducting medium: a numerical and asymptotic study

A POSSIBLE REMEDY FOR THE OSCILLATIONS OCCURRING IN THIN-WIRE MoM ANALYSIS OF CYLINDRICAL ANTENNAS

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