Canonical perturbation theory for complex electron dynamics in gyrotron resonators

Journal Article · Tue Nov 15 04:00:00 EST 2005 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2125547· OSTI ID:20782357

Kominis, Y; Dumbrajs, O; Avramides, K A; Hizanidis, K; Vomvoridis, J L ^[1]

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1. School of Electrical and Computer Engineering, National Technical University of Athens, Association EURATOM-Hellenic Republic, Zographou, GR-15773 (Greece)

Complex electron dynamics in gyrotron resonators are analyzed in the context of the Hamiltonian formalism. Application of the canonical perturbation theory provides analytical approximate invariants of the electron motion. The latter are used for describing the resonant structure of the electron phase space and the electron rest energies at the output of the cavity. Hysteresis effects are also described through analytic expressions and approximate electron distribution functions are provided. The general case of resonant interaction at an arbitrary harmonic of the electron cyclotron frequency is considered and the effect of a varying frequency mismatch is studied. Also, the case of electron interaction with multiple rf modes is investigated.

• OSTI ID: 20782357
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 12; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CAVITY RESONATORS
CYCLOTRON FREQUENCY
DISTRIBUTION FUNCTIONS
ELECTRONS
HAMILTONIANS
HYSTERESIS
MICROWAVE AMPLIFIERS
PERTURBATION THEORY
PHASE SPACE