Quantum fluctuations of electrons in free-electron laser undulator working at nanowavelength

Angelow, Andrey; Dimitrova, Todorka L.; Trifonov, Dimitar A.; Angelov, Vladimir; Hristov, Hristo

doi:doi:10.1117/1.3624521

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Journal of Nanophotonics / Volume 5 / Special Section: Selected Papers from the 3rd Mediterranean Conference on Nanophotonics

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Quantum fluctuations of electrons in free-electron laser undulator working at nanowavelength

J. Nanophoton. 5, 051823 (Aug 11, 2011); http://dx.doi.org/10.1117/1.3624521

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Abstract

References (17)

Andrey Angelow

Institute of Solid State Physics, 72 Trackia Blvd., 1784 Sofia, BAS, Bulgaria

Todorka L. Dimitrova and Hristo Hristov

Plovdiv University “P. Hilendarski,” 24 Str., Tzar Assen, Plovdiv, Bulgaria

Dimitar A. Trifonov and Vladimir Angelov

Institute for Nuclear Research and Nuclear Energy, 72 Tzarigradsko chaussée Blvd.,1784 Sofia, BAS, Bulgaria a_angelo@inrne.bas.bg, tldimitrova@abv.bg, dtrif@inrne.bas.bg, angelvl@inrne.bas.bg, hristov@uni-plovdiv.bg

A new (nonrelativistic) model for electron-beam dynamics in a free-electron laser undulator was formulated using the method of linear invariants of quantum-mechanical charge particle. The magnetic field varies periodically along the undulator. We obtained an exact solution for this quantum-mechanical problem described by quadratic Hamiltonian. The time-evolutions of the tree independent quantum fluctuations [cov(q,p), var(q), and var(p)] of the electrons were determined. The quantum behavior shows covariance states which are different from the well-known coherent and squeezed states. On the basis of the quantum approach applied here, further exploration of Madey formula for Δλ of emitted photons was done and the low limit of the electron energy was determined, below which the quantum uncertainty prevails the energy spread of the beam.

History

Received Feb 17, 2011
Accepted Jul 13, 2011
Published online Aug 11, 2011

Digital Object Identifier

http://dx.doi.org/10.1117/1.3624521

Citation

Andrey Angelow, Todorka L. Dimitrova, Dimitar A. Trifonov, Vladimir Angelov and Hristo Hristov, "Quantum fluctuations of electrons in free-electron laser undulator working at nanowavelength", J. Nanophoton. 5, 051823 (Aug 11, 2011); http://dx.doi.org/10.1117/1.3624521