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Title: Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section

Abstract

In applying mode expansion to solve the CSR impedance for a section of toroidal vacuum chamber with rectangular cross section, we identify the eigenvalue problem for the radial eigenmodes which is different from that for cylindrical structures. In this paper, we present the general expressions of the radial eigenmodes, and discuss the properties of the eigenvalues on the basis of the Sturm-Liouville theory.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1047870
Report Number(s):
JLAB-ACP-12-1474; DOE/OR/23177-2264
TRN: US1204057
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Conference
Resource Relation:
Conference: IPAC 2012, 20-25 May 2012, New Orleans, Louisiana
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; ACCELERATORS; APPROXIMATIONS; BOUNDARY CONDITIONS; CROSS SECTIONS; EIGENFUNCTIONS; EIGENVALUES; ELECTROMAGNETIC FIELDS; ELECTRON BEAMS; FIELD EQUATIONS; IMPEDANCE; SYNCHROTRON RADIATION; TRANSPORT; WAVEGUIDES

Citation Formats

Li, Rui. Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section. United States: N. p., 2012. Web.
Li, Rui. Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section. United States.
Li, Rui. 2012. "Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section". United States. https://www.osti.gov/servlets/purl/1047870.
@article{osti_1047870,
title = {Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section},
author = {Li, Rui},
abstractNote = {In applying mode expansion to solve the CSR impedance for a section of toroidal vacuum chamber with rectangular cross section, we identify the eigenvalue problem for the radial eigenmodes which is different from that for cylindrical structures. In this paper, we present the general expressions of the radial eigenmodes, and discuss the properties of the eigenvalues on the basis of the Sturm-Liouville theory.},
doi = {},
url = {https://www.osti.gov/biblio/1047870}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jul 01 00:00:00 EDT 2012},
month = {Sun Jul 01 00:00:00 EDT 2012}
}

Conference:
Other availability
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