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Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities

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Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities. / Siaber, Sergey; Gratus, Jonathan; Seviour, Rebecca et al.
In: arxiv.org, 11.10.2023.

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@article{cc4a5a1f5e2847f0ac5b2d2d081e5c4a,
title = "Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities",
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, 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. ",
author = "Sergey Siaber and Jonathan Gratus and Rebecca Seviour and Steven Jamison and Taylor Boyd",
year = "2023",
month = oct,
day = "11",
language = "English",
journal = "arxiv.org",

}

RIS

TY - JOUR

T1 - Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities

AU - Siaber, Sergey

AU - Gratus, Jonathan

AU - Seviour, Rebecca

AU - Jamison, Steven

AU - Boyd, Taylor

PY - 2023/10/11

Y1 - 2023/10/11

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, 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, 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.

M3 - Journal article

JO - arxiv.org

JF - arxiv.org

ER -