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Title: Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations

Abstract

A metallic pipe with wall corrugations is of special interest in light of recent proposals to use such a pipe for the generation of terahertz radiation and for energy dechirping of electron bunches in free electron lasers. In this paper we calculate the surface impedance of a corrugated metal wall and show that it can be reduced to that of a thin layer with dielectric constant {epsilon} and magnetic permeability {mu}. We develop a technique for the calculation of these constants, given the geometrical parameters of the corrugations. We then calculate, for the specific case of a round metallic pipe with small corrugations, the frequency and strength of the resonant mode excited by a relativistic beam. Our analytical results are compared with numerical simulations, and are shown to agree well.

Authors:
;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1049734
Report Number(s):
SLAC-PUB-15231
TRN: US201218%%154
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Submitted to Physical Review Special Topics - Accelerators and Beams
Additional Journal Information:
Journal Name: Submitted to Physical Review Special Topics - Accelerators and Beams
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ELECTRONS; FREE ELECTRON LASERS; IMPEDANCE; MAGNETIC SUSCEPTIBILITY; PERMITTIVITY; RADIATIONS; ACCPHY

Citation Formats

Stupakov, G, Bane, K L.F., and /SLAC. Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations. United States: N. p., 2012. Web. doi:10.1103/PhysRevSTAB.15.124401.
Stupakov, G, Bane, K L.F., & /SLAC. Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations. United States. https://doi.org/10.1103/PhysRevSTAB.15.124401
Stupakov, G, Bane, K L.F., and /SLAC. 2012. "Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations". United States. https://doi.org/10.1103/PhysRevSTAB.15.124401. https://www.osti.gov/servlets/purl/1049734.
@article{osti_1049734,
title = {Surface Impedance Formalism for a Metallic Beam Pipe with Small Corrugations},
author = {Stupakov, G and Bane, K L.F. and /SLAC},
abstractNote = {A metallic pipe with wall corrugations is of special interest in light of recent proposals to use such a pipe for the generation of terahertz radiation and for energy dechirping of electron bunches in free electron lasers. In this paper we calculate the surface impedance of a corrugated metal wall and show that it can be reduced to that of a thin layer with dielectric constant {epsilon} and magnetic permeability {mu}. We develop a technique for the calculation of these constants, given the geometrical parameters of the corrugations. We then calculate, for the specific case of a round metallic pipe with small corrugations, the frequency and strength of the resonant mode excited by a relativistic beam. Our analytical results are compared with numerical simulations, and are shown to agree well.},
doi = {10.1103/PhysRevSTAB.15.124401},
url = {https://www.osti.gov/biblio/1049734}, journal = {Submitted to Physical Review Special Topics - Accelerators and Beams},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {8}
}