Longitudinal impedance of a periodic structure at high frequency

Journal Article · Mon May 01 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.2780· OSTI ID:6285832

Gluckstern, R L

An ultrarelativistic beam bunch traveling along the axis of an azimuthally symmetric cavity of general shape connected to a beam pipe generates wake fields. We extend an earlier derivation of the integral equation for the axial electric field at the beam-pipe radius to the case of a periodic structure. This equation is then solved in the high-frequency limit, and we show that the reciprocal of the impedance per cell has a particularly simple form, closely related to the admittance for a single cavity. We also show that the imaginary part of the impedance per cell varies as ..omega../sup -1/ and the real part of the impedance per cell varies as ..omega../sup -3/2/. Finally, the results are shown to satisfy the requirements of causality for an ultrarelativistic beam.

• Research Organization: Physics Department, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6285832
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:9; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM BUNCHING
BEAM DYNAMICS
CAVITIES
COUPLINGS
ELECTRIC FIELDS
ELECTRIC IMPEDANCE
ENERGY RANGE
EQUATIONS
IMPEDANCE
INTEGRAL EQUATIONS
MAGNETIC FIELDS
RELATIVISTIC RANGE
SUM RULES
WAKEFIELD ACCELERATORS