Electromagnetic radiation and scattering from elliptical torus knots

D. H. Werner

doi:10.1109/APS.1998.702074

Electromagnetic radiation and scattering from elliptical torus knots

D. H. Werner

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

5 Scopus citations

Abstract

A mathematically rigorous approach for combining knot theory with Maxwell's theory of electromagnetism was reported by Werner (see IEEE Antennas and Propagation Society International Symposium Digest, vol.2, p.1468-71, Montreal, Canada, 1997). This analysis methodology was initially used to investigate the electromagnetic characteristics of a special class of knots, known as (p,q)-Torus knots. A convenient set of parametric representations was developed by Werner for this particular family of knots by making use of the fact that they may be constructed on the surface of a standard circular torus in R³. These parameterizations were then used in combination with Maxwell's equations to derive vector potential and field expressions which describe the radiation and scattering of electromagnetic waves from circular (p,q)-Torus knots.

Original language	English (US)
Title of host publication	IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
Subtitle of host publication	Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	858-861
Number of pages	4
ISBN (Print)	0780344782, 9780780344785
DOIs	https://doi.org/10.1109/APS.1998.702074
State	Published - 1998
Event	1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998 - Atlanta, United States Duration: Jun 21 1998 → Jun 26 1998

Publication series

Name	IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
Volume	2

Other

Other	1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
Country/Territory	United States
City	Atlanta
Period	6/21/98 → 6/26/98

All Science Journal Classification (ASJC) codes

Instrumentation
Radiation
Computer Networks and Communications
Electrical and Electronic Engineering

Access to Document

10.1109/APS.1998.702074

Cite this

Werner, D. H. (1998). Electromagnetic radiation and scattering from elliptical torus knots. In IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting (pp. 858-861). Article 702074 (IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.1998.702074

Werner, D. H. / Electromagnetic radiation and scattering from elliptical torus knots. IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting. Institute of Electrical and Electronics Engineers Inc., 1998. pp. 858-861 (IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting).

@inproceedings{2422480c13cd42dfbf07a0abdfd83b3b,

title = "Electromagnetic radiation and scattering from elliptical torus knots",

abstract = "A mathematically rigorous approach for combining knot theory with Maxwell's theory of electromagnetism was reported by Werner (see IEEE Antennas and Propagation Society International Symposium Digest, vol.2, p.1468-71, Montreal, Canada, 1997). This analysis methodology was initially used to investigate the electromagnetic characteristics of a special class of knots, known as (p,q)-Torus knots. A convenient set of parametric representations was developed by Werner for this particular family of knots by making use of the fact that they may be constructed on the surface of a standard circular torus in R3. These parameterizations were then used in combination with Maxwell's equations to derive vector potential and field expressions which describe the radiation and scattering of electromagnetic waves from circular (p,q)-Torus knots.",

author = "Werner, {D. H.}",

note = "Publisher Copyright: {\textcopyright} 1998 IEEE.; 1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998 ; Conference date: 21-06-1998 Through 26-06-1998",

year = "1998",

doi = "10.1109/APS.1998.702074",

language = "English (US)",

isbn = "0780344782",

series = "IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "858--861",

booktitle = "IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas",

address = "United States",

}

Werner, DH 1998, Electromagnetic radiation and scattering from elliptical torus knots. in IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting., 702074, IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 858-861, 1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998, Atlanta, United States, 6/21/98. https://doi.org/10.1109/APS.1998.702074

Electromagnetic radiation and scattering from elliptical torus knots. / Werner, D. H.
IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting. Institute of Electrical and Electronics Engineers Inc., 1998. p. 858-861 702074 (IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting; Vol. 2).

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

TY - GEN

T1 - Electromagnetic radiation and scattering from elliptical torus knots

AU - Werner, D. H.

PY - 1998

Y1 - 1998

N2 - A mathematically rigorous approach for combining knot theory with Maxwell's theory of electromagnetism was reported by Werner (see IEEE Antennas and Propagation Society International Symposium Digest, vol.2, p.1468-71, Montreal, Canada, 1997). This analysis methodology was initially used to investigate the electromagnetic characteristics of a special class of knots, known as (p,q)-Torus knots. A convenient set of parametric representations was developed by Werner for this particular family of knots by making use of the fact that they may be constructed on the surface of a standard circular torus in R3. These parameterizations were then used in combination with Maxwell's equations to derive vector potential and field expressions which describe the radiation and scattering of electromagnetic waves from circular (p,q)-Torus knots.

AB - A mathematically rigorous approach for combining knot theory with Maxwell's theory of electromagnetism was reported by Werner (see IEEE Antennas and Propagation Society International Symposium Digest, vol.2, p.1468-71, Montreal, Canada, 1997). This analysis methodology was initially used to investigate the electromagnetic characteristics of a special class of knots, known as (p,q)-Torus knots. A convenient set of parametric representations was developed by Werner for this particular family of knots by making use of the fact that they may be constructed on the surface of a standard circular torus in R3. These parameterizations were then used in combination with Maxwell's equations to derive vector potential and field expressions which describe the radiation and scattering of electromagnetic waves from circular (p,q)-Torus knots.

UR - http://www.scopus.com/inward/record.url?scp=0031630419&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031630419&partnerID=8YFLogxK

U2 - 10.1109/APS.1998.702074

DO - 10.1109/APS.1998.702074

M3 - Conference contribution

AN - SCOPUS:0031630419

SN - 0780344782

SN - 9780780344785

T3 - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting

SP - 858

EP - 861

BT - IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998

Y2 - 21 June 1998 through 26 June 1998

ER -

Werner DH. Electromagnetic radiation and scattering from elliptical torus knots. In IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting. Institute of Electrical and Electronics Engineers Inc. 1998. p. 858-861. 702074. (IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting). doi: 10.1109/APS.1998.702074

Electromagnetic radiation and scattering from elliptical torus knots

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this