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On the effects of geometry on guided electromagnetic waves

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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On the effects of geometry on guided electromagnetic waves. / Tucker, Robin W.
In: Theoretical and Applied Mechanics, Vol. 34, No. 1, 01.2007, p. 1-50.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Tucker, RW 2007, 'On the effects of geometry on guided electromagnetic waves', Theoretical and Applied Mechanics, vol. 34, no. 1, pp. 1-50. https://doi.org/10.2298/TAM0701001T

APA

Tucker, R. W. (2007). On the effects of geometry on guided electromagnetic waves. Theoretical and Applied Mechanics, 34(1), 1-50. https://doi.org/10.2298/TAM0701001T

Vancouver

Tucker RW. On the effects of geometry on guided electromagnetic waves. Theoretical and Applied Mechanics. 2007 Jan;34(1):1-50. doi: 10.2298/TAM0701001T

Author

Tucker, Robin W. / On the effects of geometry on guided electromagnetic waves. In: Theoretical and Applied Mechanics. 2007 ; Vol. 34, No. 1. pp. 1-50.

Bibtex

@article{d82c3acc6b00430f8c7e65d3d988e7eb,
title = "On the effects of geometry on guided electromagnetic waves",
abstract = "The method of moving (Cartan) coframes is used to analyze the influence of geometry on the behavior of electromagnetic fields in confining guides and the effect of such fields on their ultra-relativistic sources. Such issues are of relevance to a number of topical problems in accelerator science where the need to control the motion of high current-density micro-meter size bunches of relativistic radiating charge remains a technical and theoretical challenge. By dimensionally reducing the exterior equations for the sources and fields on spacetime using symmetries exhibited by the confining guides one achieves a unifying view that offers natural perturbative approaches for dealing with smooth non-uniform and curved guides. The issue of the back-reaction of radiation fields on the sources is approached in terms of a simple charged relativistic fluid model.",
keywords = "guided waves, geometry, waveguides, electromagnetic theory, Cartan frames, differential forms, accelerator science",
author = "Tucker, {Robin W.}",
year = "2007",
month = jan,
doi = "10.2298/TAM0701001T",
language = "English",
volume = "34",
pages = "1--50",
journal = "Theoretical and Applied Mechanics",
issn = "1450-5584",
publisher = "Serbian Society for Mechanics",
number = "1",

}

RIS

TY - JOUR

T1 - On the effects of geometry on guided electromagnetic waves

AU - Tucker, Robin W.

PY - 2007/1

Y1 - 2007/1

N2 - The method of moving (Cartan) coframes is used to analyze the influence of geometry on the behavior of electromagnetic fields in confining guides and the effect of such fields on their ultra-relativistic sources. Such issues are of relevance to a number of topical problems in accelerator science where the need to control the motion of high current-density micro-meter size bunches of relativistic radiating charge remains a technical and theoretical challenge. By dimensionally reducing the exterior equations for the sources and fields on spacetime using symmetries exhibited by the confining guides one achieves a unifying view that offers natural perturbative approaches for dealing with smooth non-uniform and curved guides. The issue of the back-reaction of radiation fields on the sources is approached in terms of a simple charged relativistic fluid model.

AB - The method of moving (Cartan) coframes is used to analyze the influence of geometry on the behavior of electromagnetic fields in confining guides and the effect of such fields on their ultra-relativistic sources. Such issues are of relevance to a number of topical problems in accelerator science where the need to control the motion of high current-density micro-meter size bunches of relativistic radiating charge remains a technical and theoretical challenge. By dimensionally reducing the exterior equations for the sources and fields on spacetime using symmetries exhibited by the confining guides one achieves a unifying view that offers natural perturbative approaches for dealing with smooth non-uniform and curved guides. The issue of the back-reaction of radiation fields on the sources is approached in terms of a simple charged relativistic fluid model.

KW - guided waves

KW - geometry

KW - waveguides

KW - electromagnetic theory

KW - Cartan frames

KW - differential forms

KW - accelerator science

U2 - 10.2298/TAM0701001T

DO - 10.2298/TAM0701001T

M3 - Journal article

VL - 34

SP - 1

EP - 50

JO - Theoretical and Applied Mechanics

JF - Theoretical and Applied Mechanics

SN - 1450-5584

IS - 1

ER -