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: Contribution to journal › Meeting Abstract › 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
Pages (from-to)	1255-1256
Number of pages	2
Journal	International Conference on Metamaterials, Photonic Crystals and Plasmonics
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

Cite this

@article{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",

pages = "1255--1256",

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

issn = "2429-1390",

publisher = "META Conference",

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TY - JOUR

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 - Meeting Abstract

AN - SCOPUS:85174587021

VL - 2023

SP - 1255

EP - 1256

JO - International Conference on Metamaterials, Photonic Crystals and Plasmonics

JF - International Conference on Metamaterials, Photonic Crystals and Plasmonics

SN - 2429-1390

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

Y2 - 18 July 2023 through 21 July 2023

ER -

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

Abstract

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