An accurate and efficient analysis for transient plane waves obliquely incident on a conductive half space (te case)

Hsueh Yuan Pao, Steven L Dvorak, Donald G. Dudley

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A method which allows for the analytical evaluation of the inverse Laplace transform representations for a transient TE plane wave, obliquely incident on a conductive half-space, is discussed. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. Starting with the equations for the transmitted wave in the Laplace domain, the corresponding time-domain expressions are first represented as inverse Laplace transforms. The transient fields are shown to consist of two canonical integrals /(/?) and e',3). The canonical integrals, in turn, are solved analytically, thereby yielding solutions involving incomplete Lipschitz-Hankel integrals (ILHI's). The ILHI's are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The solutions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms.

Original languageEnglish (US)
Pages (from-to)918-924
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume44
Issue number7
DOIs
StatePublished - 1996
Externally publishedYes

Fingerprint

Inverse transforms
Laplace transforms
Fast Fourier transforms
Permittivity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

Cite this

An accurate and efficient analysis for transient plane waves obliquely incident on a conductive half space (te case). / Pao, Hsueh Yuan; Dvorak, Steven L; Dudley, Donald G.

In: IEEE Transactions on Antennas and Propagation, Vol. 44, No. 7, 1996, p. 918-924.

Research output: Contribution to journalArticle

@article{52801ffc8d6448a6bf24377cf4f5f38f,
title = "An accurate and efficient analysis for transient plane waves obliquely incident on a conductive half space (te case)",
abstract = "A method which allows for the analytical evaluation of the inverse Laplace transform representations for a transient TE plane wave, obliquely incident on a conductive half-space, is discussed. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. Starting with the equations for the transmitted wave in the Laplace domain, the corresponding time-domain expressions are first represented as inverse Laplace transforms. The transient fields are shown to consist of two canonical integrals /(/?) and e',3). The canonical integrals, in turn, are solved analytically, thereby yielding solutions involving incomplete Lipschitz-Hankel integrals (ILHI's). The ILHI's are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The solutions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms.",
author = "Pao, {Hsueh Yuan} and Dvorak, {Steven L} and Dudley, {Donald G.}",
year = "1996",
doi = "10.1109/8.504297",
language = "English (US)",
volume = "44",
pages = "918--924",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "7",

}

TY - JOUR

T1 - An accurate and efficient analysis for transient plane waves obliquely incident on a conductive half space (te case)

AU - Pao, Hsueh Yuan

AU - Dvorak, Steven L

AU - Dudley, Donald G.

PY - 1996

Y1 - 1996

N2 - A method which allows for the analytical evaluation of the inverse Laplace transform representations for a transient TE plane wave, obliquely incident on a conductive half-space, is discussed. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. Starting with the equations for the transmitted wave in the Laplace domain, the corresponding time-domain expressions are first represented as inverse Laplace transforms. The transient fields are shown to consist of two canonical integrals /(/?) and e',3). The canonical integrals, in turn, are solved analytically, thereby yielding solutions involving incomplete Lipschitz-Hankel integrals (ILHI's). The ILHI's are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The solutions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms.

AB - A method which allows for the analytical evaluation of the inverse Laplace transform representations for a transient TE plane wave, obliquely incident on a conductive half-space, is discussed. We assume that the permittivity and conductivity of the dispersive half-space are independent of frequency. Starting with the equations for the transmitted wave in the Laplace domain, the corresponding time-domain expressions are first represented as inverse Laplace transforms. The transient fields are shown to consist of two canonical integrals /(/?) and e',3). The canonical integrals, in turn, are solved analytically, thereby yielding solutions involving incomplete Lipschitz-Hankel integrals (ILHI's). The ILHI's are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The solutions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform (FFT) algorithms.

UR - http://www.scopus.com/inward/record.url?scp=0030195829&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030195829&partnerID=8YFLogxK

U2 - 10.1109/8.504297

DO - 10.1109/8.504297

M3 - Article

VL - 44

SP - 918

EP - 924

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 7

ER -