Impedance calculations of nonaxisymmetric transitions using the optical approximation

被引:9
作者
Bane, K. L. F. [1 ]
Stupakov, G.
Zagorodnov, I.
机构
[1] Stanford Univ, Stanford Linear Accelerator Ctr, Stanford, CA 94309 USA
[2] Deutsch Elekt Synchrotron, D-22603 Hamburg, Germany
关键词
D O I
10.1103/PhysRevSTAB.10.074401
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
In a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that - in analogy to geometric optics for light - we call the optical regime. In this report we apply the method to various nonaxisymmetric geometries such as irises/short collimators in a beam pipe, step-in transitions, step-out transitions, and more complicated transitions of practical importance. Most of our results are analytical, with a few given in terms of a simple one-dimensional integral. Our results are compared to wakefield simulations with the time-domain, finite-difference program ECHO, and excellent agreement is found.
引用
收藏
页数:16
相关论文
共 15 条
[1]  
[Anonymous], 2002, SLACR593
[2]  
Balakin V. E., 1983, Proceedings of the 12th International Conference on High-Energy Accelerators, P117
[3]  
BANE KLF, 2006, P EUR PART ACC C ED, P2952
[4]  
BENDER CM, 1999, ADV MATH METHODS SCI, P305
[5]   DIPOLE IMPEDANCE OF A CONDUCTING CYLINDRICAL PIPE WITH A DISCONTINUOUS CROSS-SECTION [J].
GIANFELICE, E ;
PALUMBO, L .
IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 1990, 37 (02) :1084-1089
[6]   COUPLING IMPEDANCE OF BEAM PIPES OF GENERAL CROSS-SECTION [J].
GLUCKSTERN, RL ;
VANZEIJTS, J ;
ZOTTER, B .
PHYSICAL REVIEW E, 1993, 47 (01) :656-663
[7]   COUPLING IMPEDANCE IN MODERN ACCELERATORS [J].
HEIFETS, SA ;
KHEIFETS, SA .
REVIEWS OF MODERN PHYSICS, 1991, 63 (03) :631-673
[8]  
Jackson J. D., 2001, CLASSICAL ELECTRODYN
[9]  
MORSE PM, 1953, METHODS THEORETICAL, P1240
[10]   SOME CONSIDERATIONS CONCERNING THE TRANSVERSE DEFLECTION OF CHARGED PARTICLES IN RADIO-FREQUENCY FIELDS [J].
PANOFSKY, WKH ;
WENZEL, WA .
REVIEW OF SCIENTIFIC INSTRUMENTS, 1956, 27 (11) :967-967