Special Section: Selected Papers from the 3rd Mediterranean Conference on Nanophotonics

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

[+] Author Affiliations
Andrey Angelow

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

Todorka L. Dimitrova, Hristo Hristov

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

Dimitar A. Trifonov, Vladimir Angelov

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

J. Nanophoton. 5(1), 051823 (August 11, 2011). doi:10.1117/1.3624521
History: Received February 17, 2011; Accepted July 13, 2011; Published August 11, 2011; Online August 11, 2011
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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.

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© 2011 Society of Photo-Optical Instrumentation Engineers (SPIE)

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(1), 051823 (August 11, 2011). ; http://dx.doi.org/10.1117/1.3624521


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