Gator: A hybrid spectral/PIC formulation of the interaction of electron beams with slow-wave structures

Journal Article · Sat Feb 01 04:00:00 EST 1997 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.52335· OSTI ID:21165547

Freund, H P; Zaidman, E G ^[1]

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1. Science Applications International Corp., McLean, Virginia 22102 (United States)

A time-dependent nonlinear analysis of a helix traveling wave tube is presented for a beam propagating through a sheath helix surrounded by a conducting wall. The effects of dielectric- and vane-loading are included as is the tapering of the helix pitch. Dielectric-loading is described when the gap between the helix and the wall is uniformly filled. Vane-loading describes the insertion of vanes running the length of the helix. The field is represented as a superposition of azimuthally symmetric waves in vacuo. An overall explicit sinusoidal variation is assumed, and the polarization and radial variation of each wave is determined by the boundary conditions in a vacuum circuit. The propagation of each wave as well as the interaction with the beam is included by allowing the amplitudes of the waves to vary in z and t. A dynamical equation is derived analogously to Poynting's equation, and solved in conjunction with the 3-D Lorentz force equations. The model is compared with linear theory.

• OSTI ID: 21165547
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 391; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
AMPLITUDES
BEAM TRANSPORT
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
ELECTRON BEAMS
G CODES
LENGTH
LORENTZ FORCE
NONLINEAR PROBLEMS
PARTICLE BEAMS
POLARIZATION
TIME DEPENDENCE
TRAVELLING WAVE TUBES
VARIATIONS