Spatial dispersion with Mathieu's equation for EM generation and particle acceleration

J. Gratus; T. Boyd; S. S. Siaber; S. P. Jamison; R. Seviour

Spatial dispersion with Mathieu's equation for EM generation and particle acceleration

J. Gratus, T. Boyd, S. S. Siaber, S. P. Jamison, R. Seviour

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

Abstract

Corrugated waveguides can be modelled as a spatially dispersive media. By varying the structure we can make the electric field obey Mathieu's equation. This is utilised to tailor the dispersion relation to match phase and group velocity of the waves to the particle beam. These corrugated structures can be used as slow wave structures to either produce EM fields or accelerate charged particles.

Original language	English
Title of host publication	13th International Conference on Metamaterials, Photonic Crystals and Plasmonics
Subtitle of host publication	META 2023
Editors	Philippe Lalanne, Said Zouhdi
Pages	1255-1256
Number of pages	2
Volume	2023
Publication status	Published - 18 Jul 2023
Event	13th International Conference on Metamaterials, Photonic Crystals and Plasmonics - Paris, France Duration: 18 Jul 2023 → 21 Jul 2023 Conference number: 13

Publication series

Name	International Conference on Metamaterials, Photonic Crystals and Plasmonics
Publisher	META Conference
ISSN (Print)	2429-1390

Conference

Conference	13th International Conference on Metamaterials, Photonic Crystals and Plasmonics
Abbreviated title	META 2023
Country/Territory	France
City	Paris
Period	18/07/23 → 21/07/23

Cite this

Gratus, J., Boyd, T., Siaber, S. S., Jamison, S. P., & Seviour, R. (2023). Spatial dispersion with Mathieu's equation for EM generation and particle acceleration. In P. Lalanne, & S. Zouhdi (Eds.), 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2023 (Vol. 2023, pp. 1255-1256). (International Conference on Metamaterials, Photonic Crystals and Plasmonics).

Gratus, J. ; Boyd, T. ; Siaber, S. S. et al. / Spatial dispersion with Mathieu's equation for EM generation and particle acceleration. 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2023. editor / Philippe Lalanne ; Said Zouhdi. Vol. 2023 2023. pp. 1255-1256 (International Conference on Metamaterials, Photonic Crystals and Plasmonics).

@inproceedings{9944aeff480e4ca9ae61efa9e0703b19,

title = "Spatial dispersion with Mathieu's equation for EM generation and particle acceleration",

abstract = "Corrugated waveguides can be modelled as a spatially dispersive media. By varying the structure we can make the electric field obey Mathieu's equation. This is utilised to tailor the dispersion relation to match phase and group velocity of the waves to the particle beam. These corrugated structures can be used as slow wave structures to either produce EM fields or accelerate charged particles.",

keywords = "Mathieu{\textquoteright}s equation, particle acceleration, electromagnetism",

author = "J. Gratus and T. Boyd and Siaber, {S. S.} and Jamison, {S. P.} and R. Seviour",

note = "Funding Information: JG, TB, SSS and SPJ acknowledge support provided by STFC (Cockcroft Institute, ST/V001612/1 and ST/P002056/1). JG acknowledge EPSRC (Lab in a Bubble, EP/N028694/1). RS thanks AFOSR (FA8655-20-1-7002). Publisher Copyright: {\textcopyright} 2023, META Conference. All rights reserved.; 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics, META 2023 ; Conference date: 18-07-2023 Through 21-07-2023",

year = "2023",

month = jul,

day = "18",

language = "English",

volume = "2023",

series = "International Conference on Metamaterials, Photonic Crystals and Plasmonics",

publisher = "META Conference",

pages = "1255--1256",

editor = "Philippe Lalanne and Said Zouhdi",

booktitle = "13th International Conference on Metamaterials, Photonic Crystals and Plasmonics",

}

Gratus, J, Boyd, T, Siaber, SS, Jamison, SP & Seviour, R 2023, Spatial dispersion with Mathieu's equation for EM generation and particle acceleration. in P Lalanne & S Zouhdi (eds), 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2023. vol. 2023, International Conference on Metamaterials, Photonic Crystals and Plasmonics, pp. 1255-1256, 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Paris, France, 18/07/23.

Spatial dispersion with Mathieu's equation for EM generation and particle acceleration. / Gratus, J.; Boyd, T.; Siaber, S. S. et al.

13th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2023. ed. / Philippe Lalanne; Said Zouhdi. Vol. 2023 2023. p. 1255-1256 (International Conference on Metamaterials, Photonic Crystals and Plasmonics).

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

TY - GEN

T1 - Spatial dispersion with Mathieu's equation for EM generation and particle acceleration

AU - Gratus, J.

AU - Boyd, T.

AU - Siaber, S. S.

AU - Jamison, S. P.

AU - Seviour, R.

N1 - Conference code: 13

PY - 2023/7/18

Y1 - 2023/7/18

N2 - Corrugated waveguides can be modelled as a spatially dispersive media. By varying the structure we can make the electric field obey Mathieu's equation. This is utilised to tailor the dispersion relation to match phase and group velocity of the waves to the particle beam. These corrugated structures can be used as slow wave structures to either produce EM fields or accelerate charged particles.

AB - Corrugated waveguides can be modelled as a spatially dispersive media. By varying the structure we can make the electric field obey Mathieu's equation. This is utilised to tailor the dispersion relation to match phase and group velocity of the waves to the particle beam. These corrugated structures can be used as slow wave structures to either produce EM fields or accelerate charged particles.

KW - Mathieu’s equation

KW - particle acceleration

KW - electromagnetism

UR - http://www.scopus.com/inward/record.url?scp=85174587021&partnerID=8YFLogxK

UR - https://metaconferences.org/META23/files/meta23_proceedings.pdf

M3 - Conference contribution

AN - SCOPUS:85174587021

VL - 2023

T3 - International Conference on Metamaterials, Photonic Crystals and Plasmonics

SP - 1255

EP - 1256

BT - 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics

A2 - Lalanne, Philippe

A2 - Zouhdi, Said

T2 - 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics

Y2 - 18 July 2023 through 21 July 2023

ER -

Gratus J, Boyd T, Siaber SS, Jamison SP, Seviour R. Spatial dispersion with Mathieu's equation for EM generation and particle acceleration. In Lalanne P, Zouhdi S, editors, 13th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2023. Vol. 2023. 2023. p. 1255-1256. (International Conference on Metamaterials, Photonic Crystals and Plasmonics).

Spatial dispersion with Mathieu's equation for EM generation and particle acceleration

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