Chaos and reconnection in relativistic cyclotron motion in an elliptically polarized electric field

A theoretical study of the relativistic cyclotron motion occurring in a uniform magnetic field and an oscillating electric field of arbitrary polarization is performed, which aims at determining the effect of the ellipticity and the strength of the electric field upon the integrability or nonintegrability of the system. Unless a circularly polarized electric field is used, the cyclotron system is nonintegrable and displays stochastic behavior in the region where resonance islands overlap. It is found, however, that the stochastic layers become increasingly thin as the polarization angle is moved closer coward pi/2 (circular polarization). If the polarization angle is held fixed and the electric field amplitude is increased, the Kolmogorov-Arnold-Moser curve a separating the resonance islands experience a reconnection process through which the islands are topologically rearranged. When the rearrangement is accomplished, the phase space is occupied mostly by regular trajectories. [S1063-651X(99)02710-5].
Publisher
AMERICAN PHYSICAL SOC
Issue Date
1999-10
Language
ENG
Keywords

MICROWAVE FIELDS; HAMILTONIAN-SYSTEMS; CHARGED-PARTICLE; RYDBERG ATOMS; IONIZATION; RESONANCE; DYNAMICS; ENERGY; OSCILLATOR; LASERS

Citation

PHYSICAL REVIEW E, v.60, no.4, pp.3896 - 3904

ISSN
1063-651X
URI
http://hdl.handle.net/10203/855
Appears in Collection
PH-Journal Papers(저널논문)
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