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
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;
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
DOI :
10.1109/PAC.1991.164752
