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DOE OSTI · 1047870

Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section

Li, Rui
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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.

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43 PARTICLE ACCELERATORSACCELERATORSAPPROXIMATIONSBOUNDARY CONDITIONSCROSS SECTIONSEIGENFUNCTIONSEIGENVALUESELECTROMAGNETIC FIELDSELECTRON BEAMSFIELD EQUATIONSIMPEDANCESYNCHROTRON RADIATIONTRANSPORTWAVEGUIDES

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Li, Rui. 2012-07-01. Radial Eigenmodes for a Toroidal Waveguide with Rectangular Cross Section. https://www.osti.gov/biblio/1047870

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