The well-posedness of the integral equations for thin wire antennas

Bryan P. Rynne

doi:10.1093/imamat/49.1.35

The well-posedness of the integral equations for thin wire antennas

Bryan P. Rynne

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

28 Citations (Scopus)

Abstract

In this paper the author shows that the Pocklington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field are well-posed. It is also shown that the solutions must lie in certain Sobolev spaces of absolutely continuous functions. © 1992 Oxford University Press.

Original language	English
Pages (from-to)	35-44
Number of pages	10
Journal	IMA Journal of Applied Mathematics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1093/imamat/49.1.35
Publication status	Published - 1992

Access to Document

10.1093/imamat/49.1.35

Cite this

@article{a8b76ec03d0b42f28e5c41760bde1c4f,

title = "The well-posedness of the integral equations for thin wire antennas",

abstract = "In this paper the author shows that the Pocklington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field are well-posed. It is also shown that the solutions must lie in certain Sobolev spaces of absolutely continuous functions. {\textcopyright} 1992 Oxford University Press.",

author = "Rynne, {Bryan P.}",

year = "1992",

doi = "10.1093/imamat/49.1.35",

language = "English",

volume = "49",

pages = "35--44",

journal = "IMA Journal of Applied Mathematics",

issn = "0272-4960",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - The well-posedness of the integral equations for thin wire antennas

AU - Rynne, Bryan P.

PY - 1992

Y1 - 1992

N2 - In this paper the author shows that the Pocklington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field are well-posed. It is also shown that the solutions must lie in certain Sobolev spaces of absolutely continuous functions. © 1992 Oxford University Press.

AB - In this paper the author shows that the Pocklington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field are well-posed. It is also shown that the solutions must lie in certain Sobolev spaces of absolutely continuous functions. © 1992 Oxford University Press.

UR - http://www.scopus.com/inward/record.url?scp=0026441604&partnerID=8YFLogxK

U2 - 10.1093/imamat/49.1.35

DO - 10.1093/imamat/49.1.35

M3 - Article

SN - 0272-4960

VL - 49

SP - 35

EP - 44

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 1

ER -

The well-posedness of the integral equations for thin wire antennas

Abstract

Access to Document

Other files and links

Fingerprint

Cite this