DocumentCode
2151601
Title
Perturbation treatment of the longitudinal coupling impedance of a toroidal beam tube
Author
Hahn, H. ; Tepikian, S.
Author_Institution
Brookhaven Nat. Lab., Upton, NY, USA
fYear
1991
fDate
6-9 May 1991
Firstpage
1707
Abstract
A simple analytical expression for the longitudinal coupling impedance of a toroidal beam tube below the resonance region has been derived by expanding the electromagnetic fields of the toroidal beam tube in a power series in curvature and substituting directly into Maxwell´s equations. The resulting expression consists of the impedance of the straight beam pipe plus a correction terms due to the curvature. It has been verified that this result gives excellent agreement to the exact solution below the first resonance.<>
Keywords
beam handling equipment; Maxwell´s equations; analytical expression; electromagnetic fields; longitudinal coupling impedance; perturbation treatment; power series; straight beam pipe; toroidal beam tube; Beams; Electromagnetic analysis; Electromagnetic coupling; Electromagnetic fields; Helium; Impedance; Laboratories; Maxwell equations; Optical coupling; Resonance;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location
San Francisco, CA, USA
Print_ISBN
0-7803-0135-8
Type
conf
DOI
10.1109/PAC.1991.164752
Filename
164752
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