The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed

P.J. Davies; B. Zubik-Kowal; B.P. Rynne

doi:10.1109/TAP.2002.800702

The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed

P.J. Davies, B. Zubik-Kowal, B.P. Rynne

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.

Original language	English
Pages (from-to)	1165-1166
Number of pages	2
Journal	IEEE Transactions on Antennas and Propagation
Volume	50
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2002.800702
Publication status	Published - 2002

Keywords

anennas
propagation
equations
time domain

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10.1109/TAP.2002.800702

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title = "The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed",

abstract = "We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.",

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author = "P.J. Davies and B. Zubik-Kowal and B.P. Rynne",

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T1 - The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed

AU - Davies, P.J.

AU - Zubik-Kowal, B.

AU - Rynne, B.P.

PY - 2002

Y1 - 2002

N2 - We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.

AB - We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.

KW - anennas

KW - propagation

KW - equations

KW - time domain

UR - http://dx.doi.org/10.1109/TAP.2002.800702

U2 - 10.1109/TAP.2002.800702

DO - 10.1109/TAP.2002.800702

M3 - Article

VL - 50

SP - 1165

EP - 1166

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 8

ER -

The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed

Abstract

Keywords

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