2010
DOI: 10.2528/pier10062310
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Efficient Evaluation of Green's Functions for Lossy Half-Space Problems

Abstract: Abstract-In this paper, a new technique is developed to evaluate efficiently the Sommerfeld integrals arising from the problem of a current element radiating over a lossy half-space. The annihilation of the asymptote and the branch-point singular behavior of the spectral Green's function is used in this technique. The contributions of the subtracted asymptotic and singularity terms are calculated analytically. The annihilation results in a remaining integral that is very smooth and can be calculated adaptively… Show more

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Cited by 22 publications
(17 citation statements)
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“…However, the accuracy of these approximate models is limited and only suitable for analysing simple, regularly shaped antenna or thin substrates. The full-wave spectral domain technique is extensively used in microstrip analysis and design [18][19][20][21]. This method gives better results than approximate techniques.…”
Section: Introductionmentioning
confidence: 99%
“…However, the accuracy of these approximate models is limited and only suitable for analysing simple, regularly shaped antenna or thin substrates. The full-wave spectral domain technique is extensively used in microstrip analysis and design [18][19][20][21]. This method gives better results than approximate techniques.…”
Section: Introductionmentioning
confidence: 99%
“…Since Equation (8) cannot be evaluated in closed form, we perform its saddle-point asymptotic evaluation [10,11]. In order to correctly calculate the integral, we must consider the steepest descent path (SDP) to include any pole residue.…”
Section: Intrinsic Cancellation Of the Surface Wave On A Positive Elementioning
confidence: 99%
“…According to a recent review paper [17], the resulting algorithm has proven to perform in a comparable or even a better way than the most popular extrapolation methods used for Sommerfeld tails. Often, numerical integration of Sommerfeld integral tails is used as reference for the evaluation of multilayered Green's functions by various other methods [18,19]. But the usefulness of this method may go well beyond Sommerfeld integrals as already hinted in the exhaustive monograph by Homeier [20].…”
Section: Introductionmentioning
confidence: 99%