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Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction

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

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Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction. / Siaber, Sergey; Gratus, Jonathan; Seviour, Rebecca et al.
In: Optics Express, Vol. 32, No. 13, 11.06.2024, p. 23288-23302.

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

Harvard

Siaber, S, Gratus, J, Seviour, R, Jamison, S & Boyd, T 2024, 'Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction', Optics Express, vol. 32, no. 13, pp. 23288-23302. https://doi.org/10.1364/OE.524307

APA

Siaber, S., Gratus, J., Seviour, R., Jamison, S., & Boyd, T. (2024). Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction. Optics Express, 32(13), 23288-23302. https://doi.org/10.1364/OE.524307

Vancouver

Siaber S, Gratus J, Seviour R, Jamison S, Boyd T. Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction. Optics Express. 2024 Jun 11;32(13):23288-23302. doi: 10.1364/OE.524307

Author

Siaber, Sergey ; Gratus, Jonathan ; Seviour, Rebecca et al. / Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction. In: Optics Express. 2024 ; Vol. 32, No. 13. pp. 23288-23302.

Bibtex

@article{bd800de5eff74d559c278fc1794e9a23,
title = "Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction",
abstract = "We show that it is possible to design corrugated waveguides where phase and group velocities coincide at an inflection point of the dispersion relation, thereby allowing an extended regime of interaction with a charge particle beam. This provides a basis for designing travelling slow-wave structures with a broadband interaction between relativistic charged particle beams and propagating terahertz waves allowing an energy exchange between beam and wave, amplifying terahertz radiation. We employ Fourier-Mathieu expansion, which gives approximate analytic solutions to Maxwell equations in a corrugated waveguide with periodically undulating cross-section. Being analytic, this enables quick design of corrugated waveguides, determined from desirable dispersion relations. We design a three dimensional waveguide with the desired dispersion and confirm the analytical predictions of the wave profile, using numerical simulations. Madey{\textquoteright}s theorem is used to analyse the strength of the wave-beam interaction, showing that there is a broad frequency interaction region.",
keywords = "Dispersion relations, Vacuum electron device, THz generation",
author = "Sergey Siaber and Jonathan Gratus and Rebecca Seviour and Steven Jamison and Taylor Boyd",
year = "2024",
month = jun,
day = "11",
doi = "10.1364/OE.524307",
language = "English",
volume = "32",
pages = "23288--23302",
journal = "Optics Express",
issn = "1094-4087",
publisher = "Optical Society of American (OSA)",
number = "13",

}

RIS

TY - JOUR

T1 - Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction

AU - Siaber, Sergey

AU - Gratus, Jonathan

AU - Seviour, Rebecca

AU - Jamison, Steven

AU - Boyd, Taylor

PY - 2024/6/11

Y1 - 2024/6/11

N2 - We show that it is possible to design corrugated waveguides where phase and group velocities coincide at an inflection point of the dispersion relation, thereby allowing an extended regime of interaction with a charge particle beam. This provides a basis for designing travelling slow-wave structures with a broadband interaction between relativistic charged particle beams and propagating terahertz waves allowing an energy exchange between beam and wave, amplifying terahertz radiation. We employ Fourier-Mathieu expansion, which gives approximate analytic solutions to Maxwell equations in a corrugated waveguide with periodically undulating cross-section. Being analytic, this enables quick design of corrugated waveguides, determined from desirable dispersion relations. We design a three dimensional waveguide with the desired dispersion and confirm the analytical predictions of the wave profile, using numerical simulations. Madey’s theorem is used to analyse the strength of the wave-beam interaction, showing that there is a broad frequency interaction region.

AB - We show that it is possible to design corrugated waveguides where phase and group velocities coincide at an inflection point of the dispersion relation, thereby allowing an extended regime of interaction with a charge particle beam. This provides a basis for designing travelling slow-wave structures with a broadband interaction between relativistic charged particle beams and propagating terahertz waves allowing an energy exchange between beam and wave, amplifying terahertz radiation. We employ Fourier-Mathieu expansion, which gives approximate analytic solutions to Maxwell equations in a corrugated waveguide with periodically undulating cross-section. Being analytic, this enables quick design of corrugated waveguides, determined from desirable dispersion relations. We design a three dimensional waveguide with the desired dispersion and confirm the analytical predictions of the wave profile, using numerical simulations. Madey’s theorem is used to analyse the strength of the wave-beam interaction, showing that there is a broad frequency interaction region.

KW - Dispersion relations

KW - Vacuum electron device

KW - THz generation

U2 - 10.1364/OE.524307

DO - 10.1364/OE.524307

M3 - Journal article

VL - 32

SP - 23288

EP - 23302

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 13

ER -