EM fields of an azimuthal rotationally symmetric ring current in the presence of a dielectric cone

Aladin Hassan Kamel; Edip Niver

EM fields of an azimuthal rotationally symmetric ring current in the presence of a dielectric cone

Aladin Hassan Kamel, Edip Niver

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Kontorovitch-Lebedev transform is applied to the solution of the Helmholtz equation in a domain bounded by an infinite circular dielectric cone. The proposed solution has no restrictions on the locations for the source and observation points - they can be anywhere. The problem is reduced to that of two spectral functions satisfying uncoupled singular integral equations of the non-convolution type with a variable coefficient. The singularities of the spectral functions were deduced, expressions for the field at the tip of the cone, near and far fields were derived.

Original language	English (US)
Title of host publication	PIERS 2004 - Progress in Electromagnetics Research Symposium, Extended Papers Proceedings
Pages	425-428
Number of pages	4
State	Published - Dec 1 2004
Externally published	Yes
Event	PIERS 2004 - Progress in Electromagnetics Research Symposium - Pisa, Italy Duration: Mar 28 2004 → Mar 31 2004

Other

Other	PIERS 2004 - Progress in Electromagnetics Research Symposium
Country/Territory	Italy
City	Pisa
Period	3/28/04 → 3/31/04

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Condensed Matter Physics
Radiation

Cite this

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title = "EM fields of an azimuthal rotationally symmetric ring current in the presence of a dielectric cone",

abstract = "Kontorovitch-Lebedev transform is applied to the solution of the Helmholtz equation in a domain bounded by an infinite circular dielectric cone. The proposed solution has no restrictions on the locations for the source and observation points - they can be anywhere. The problem is reduced to that of two spectral functions satisfying uncoupled singular integral equations of the non-convolution type with a variable coefficient. The singularities of the spectral functions were deduced, expressions for the field at the tip of the cone, near and far fields were derived.",

author = "Kamel, {Aladin Hassan} and Edip Niver",

year = "2004",

month = dec,

day = "1",

language = "English (US)",

isbn = "8884922682",

pages = "425--428",

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note = "PIERS 2004 - Progress in Electromagnetics Research Symposium ; Conference date: 28-03-2004 Through 31-03-2004",

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T1 - EM fields of an azimuthal rotationally symmetric ring current in the presence of a dielectric cone

AU - Kamel, Aladin Hassan

AU - Niver, Edip

PY - 2004/12/1

Y1 - 2004/12/1

N2 - Kontorovitch-Lebedev transform is applied to the solution of the Helmholtz equation in a domain bounded by an infinite circular dielectric cone. The proposed solution has no restrictions on the locations for the source and observation points - they can be anywhere. The problem is reduced to that of two spectral functions satisfying uncoupled singular integral equations of the non-convolution type with a variable coefficient. The singularities of the spectral functions were deduced, expressions for the field at the tip of the cone, near and far fields were derived.

AB - Kontorovitch-Lebedev transform is applied to the solution of the Helmholtz equation in a domain bounded by an infinite circular dielectric cone. The proposed solution has no restrictions on the locations for the source and observation points - they can be anywhere. The problem is reduced to that of two spectral functions satisfying uncoupled singular integral equations of the non-convolution type with a variable coefficient. The singularities of the spectral functions were deduced, expressions for the field at the tip of the cone, near and far fields were derived.

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UR - http://www.scopus.com/inward/citedby.url?scp=54249119608&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:54249119608

SN - 8884922682

SN - 9788884922687

SN - 8884922682

SN - 9788884922687

SP - 425

EP - 428

BT - PIERS 2004 - Progress in Electromagnetics Research Symposium, Extended Papers Proceedings

T2 - PIERS 2004 - Progress in Electromagnetics Research Symposium

Y2 - 28 March 2004 through 31 March 2004

ER -

EM fields of an azimuthal rotationally symmetric ring current in the presence of a dielectric cone

Abstract

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All Science Journal Classification (ASJC) codes

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