Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section
Conference
·
OSTI ID:1047870
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1047870
- Report Number(s):
- JLAB-ACP-12-1474; DOE/OR/23177-2264; TRN: US1204057
- Resource Relation:
- Conference: IPAC 2012, 20-25 May 2012, New Orleans, Louisiana
- Country of Publication:
- United States
- Language:
- English
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