Multilayer tube impedance and external radiation

The paper describes a method for calculating the longitudinal and transverse impedances of the laminated round pipe with many layers of different materials. The charge is moving along the pipe axis with arbitrary constant velocity. The study is based on the field-matching technique applied for the a...

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Bibliographic Details
Published in:Physical review special topics. PRST-AB. Accelerators and beams 2008-08, Vol.11 (8), p.084001, Article 084001
Main Authors: Ivanyan, M., Laziev, E., Tsakanov, V., Vardanyan, A., Heifets, S., Tsakanian, A.
Format: Article
Language:English
Subjects:
Charge materials
Electromagnetic fields
Harmonics
Laminates
Mathematical analysis
Multilayers
Pipes
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Summary:The paper describes a method for calculating the longitudinal and transverse impedances of the laminated round pipe with many layers of different materials. The charge is moving along the pipe axis with arbitrary constant velocity. The study is based on the field-matching technique applied for the arbitrary harmonic of the electromagnetic field. The matrix formalism has been developed to describe the field transitions through the subsequent layers that allow coupling the electromagnetic fields inside and outside the pipe. The number of equations to be solved is then reduced to four algebraic equations. The solutions and ultrarelativistic limits for the field harmonics in the inner and outer regions of the pipe are derived.
ISSN:1098-4402
1098-4402
2469-9888
DOI:10.1103/PhysRevSTAB.11.084001