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Phys. Rev. ST Accel. Beams 11, 084001 (2008) [10 pages]

Multilayer tube impedance and external radiation

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M. Ivanyan, E. Laziev, V. Tsakanov, and A. Vardanyan
CANDLE, Yerevan State University, Acharyan 31, 0040, Yerevan, Armenia

S. Heifets
SLAC, Stanford University, 2575 Sand Hill Road, Menlo Park, California 94025, USA

A. Tsakanian
Yerevan Physics Institute, Alikhanian Br. 2, 0036, Yerevan, Armenia,
and Institute of Experimental Physics, Hamburg University, Luruper Chaussee 149, 22761, Hamburg, Germany

See Also: Publisher's Note

Received 3 September 2007; revised 28 March 2008; published 13 August 2008; corrected 27 August 2008

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.

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.11.084001
DOI:
10.1103/PhysRevSTAB.11.084001
PACS:
41.60.−m, 41.75.Ht, 42.82.Et

See Also

Publisher's Note: M. Ivanyan, E. Laziev, V. Tsakanov, A. Vardanyan, S. Heifets, and A. Tsakanian, Publisher’s Note: Multilayer tube impedance and external radiation [Phys. Rev. ST Accel. Beams 11, 084001 (2008)], Phys. Rev. ST Accel. Beams 11, 099901 (2008).