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Large frequency asymptotic properties of resolvent kernels
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In this article, a conjecture on the large complex frequency asymptotic behavior of the resolvent kernel of the electric field integral equation operator is presented, based on a detailed examination of the corresponding large frequency behaviour of a matrix approximant to the operator.Abstract:
A conjecture on the large complex frequency asymptotic behaviour of the resolvent kernel of the electric field integral equation operator is presented. The conjecture is based on a detailed examination of the corresponding large frequency behaviour of a matrix approximant to the operator. From this analysis it is concluded that the resolvent decays exponentially on a sequence of concentric circular contours of increasing radius threading between poles in the left half plane. The decay rate is proportional to the distance between observation and source points.read more
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Singularity expansion representations of fields and currents in transient scattering
TL;DR: In this article, a unified treatment of the natural mode representations for induced currents and scattered fields is obtained by use of fundamental concepts regarding causality and superposition, and the implications of these results on natural resonance target identification schemes are discussed.
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The discrete Fourier transform method of solving differential-integral equations in scattering theory
TL;DR: In this paper, an accurate and efficient numerical method is presented for solving many differential-integral equations arising from electromagnetic scattering theory. But it uses the discrete Fourier transform technique to treat both the derivatives and the convolution integrals which often appear in these equations, and yields accurate predictions.
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The singularity expansion method: Background and developments
TL;DR: The singularity expansion method (SEM) as discussed by the authors is based on the observation that the transient response of complex electromagnetic scatterers appeared to be dominated by a small number of damped sinusoids.
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A note on the representation of scattered fields as a singularity expansion
TL;DR: In this article, the authors considered the representation of the electromagnetic field scattered by a perfectly conducting finite-extent scatterer immersed in a lossless medium as a singularity expansion and constructed explicit time domain representations that are counterpart to the Laplace domain representation.
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SEM representation of the early and late time fields scattered from wire targets
TL;DR: In this paper, the singularity expansion method (SEM) is used to express the field scattered from an arbitrary thin-wire target, and the results of the SEM computations are compared to fields obtained by Fourier inversion techniques.
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