An extension of the Fock current distribution functions

Sandström, Sven-Erik

doi:10.1016/j.aeue.2011.11.007

Cited by 3 publications

(2 citation statements)

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“…The results presented here refer to the TE case (equation ) since the TE case is more difficult to handle both in terms of quadrature and in terms of scaling since the current has a more pronounced ripple in the deep shadow. A standing wave (SW) region that is caused by interfering surface waves [ King and Wu , ; Sandström , ] is indicated in Figure . This standing wave pattern is more difficult to include in the scaling in a general asymmetrical case, as illustrated by Figure .…”

Section: Numerical Results For Dense Matricesmentioning

confidence: 99%

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Scaling and sparsity in an accurate implementation of the method of moments in 2-D

Sandström

Akeab

2014

Radio Sci.

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Citation:Sandström, S.-E., and I. K. Akeab (2014), Scaling and sparsity in an accurate implementation of the method of moments in 2-D, Radio Sci., 49, 643-652, doi:10.1002 Abstract The integral equations of electromagnetic scattering are often solved numerically by means of the method of moments. At high frequencies, this method typically leads to a large linear system with a dense matrix. The use of higher-order basis functions is a means to improve the accuracy. B-splines are used here for a two-dimensional test bed study that avoids the complexity of 3-D implementation. For smooth convex scatterers one may use a priori knowledge about the oscillatory behavior of the solution to reformulate the integral equation. This fast scale of variation is included in the kernel of the integral equation. An extension of this idea deals with the variation in the shadow, particularly for circular geometry, and is an improvement that is presented in this study. Generally, the transverse electric (TE) case is less studied at high frequencies and our numerical results therefore relate to this harder problem. A sparse matrix can be obtained by modification of the integration path in the integral equation. The decay of the modified kernel makes this possible for high frequencies but the modified path reduces the accuracy in the deep shadow. This study investigates these modified paths for the case where the shadow region is not omitted from the formulation.

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Section: Numerical Results For Dense Matricesmentioning

confidence: 99%

“…The shadow gets deeper, as it were, and this reduces the error. A more accurate scaling could be obtained with a type of uniform Fock function [ Sandström , ], or by analyzing the spectrum of the current, but the matter is not pursued here.…”

Section: Numerical Results For Dense Matricesmentioning

confidence: 99%