Coupling impedance of a long slot and an array of slots in a circular vacuum chamber

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.51.3515· OSTI ID:27849

Stupakov, G V ^[1]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

A method is presented for calculating the real part of the longitudinal impedance {ital Z} at a frequency {omega} for both a small hole and a long slot in a beam vacuum chamber with a circular cross section. The length of the slot can be arbitrarily large; the only requirement of the dimensions of the slots is that its width be much smaller than {ital c}/{omega}. Regular arrays of {ital N} slots periodically distributed along the pipe are also considered. The equation relating the real part of the impedance to the energy radiated by the slot into waveguide eigenmodes is the basis of this method. We show that in addition to broadband impedance, there are narrow peaks in Re{ital Z}. For a single slot, the peaks are located slightly above the cutoff frequencies of various waveguide modes. For a periodic array, additional peaks are generated at frequencies determined by the array period. These peaks can be partially suppressed by randomization of the positions of the slots.

• Research Organization: Stanford Linear Accelerator Center
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 27849
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 51; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM TRANSPORT
COUPLING
EIGENSTATES
ELECTRON BEAMS
HOLES
IMPEDANCE
LINEAR ACCELERATORS
OPTIMIZATION
VACUUM SYSTEMS
WAVEGUIDES