Electromagnetic radiation and scattering from elliptical torus knots

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
Subtitle of host publicationGateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages858-861
Number of pages4
ISBN (Print)0780344782, 9780780344785
DOIs
StatePublished - Jan 1 1998
Event1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998 - Atlanta, United States
Duration: Jun 21 1998Jun 26 1998

Publication series

NameIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
Volume2

Other

Other1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
CountryUnited States
CityAtlanta
Period6/21/986/26/98

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Radiation
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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    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). [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