FEL2017 - List of Authors (Anisimov, P.M.)

Paper	Title	Page
FRB04	Canonical Formulation of 1D FEL Theory Revisited, Quantized and Applied to Electron Evolution	576
	P.M. Anisimov LANL, Los Alamos, New Mexico, USA
	An original FEL theory relied on quantum analysis of photon generation by relativistic electrons in alternating magnetic field.* In most cases, however, the system of pendulum equations for non-canonical variables and the theory of classical electromagnetism proved to be adequate. As XFELs advance to higher energy photons, quantum effects of electron recoil and shot noise has to be considered. This work presents quantization procedure based on the Hamiltonian formulation of an XFEL interaction in 1D case. The procedure relates the conventional variables to canonical coordinates and momenta and does not require the transformation to the Bambini-Renieri frame. The relation of a field operator to a photon annihilation operator reveals the meaning of the quantum FEL parameter, introduced by Bonifacio, as a number of photons emitted by a single electron before the saturation takes place.* The quantum description is then applied to study how quantum nature of electrons affects the startup of XFEL and how quantum electrons become indistinguishable from a classical ensemble of electrons due to their interaction with a ponderomotive potential of an XFEL. * Madey JMJ 1971 J. Appl. Phys. 42 1906 13. Bambini A and Renieri A 1978 Lett. Nuovo Cimento 21 399-404. * Bonifacio R, Piovella N, Robb G R M and Schiavi A 2006 PRSTAB 9 090701.
DOI •	reference for this paper ※ https://doi.org/10.18429/JACoW-FEL2017-FRB04
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Paper

Title

Page

Canonical Formulation of 1D FEL Theory Revisited, Quantized and Applied to Electron Evolution

576

P.M. Anisimov
LANL, Los Alamos, New Mexico, USA

An original FEL theory relied on quantum analysis of photon generation by relativistic electrons in alternating magnetic field.* In most cases, however, the system of pendulum equations for non-canonical variables and the theory of classical electromagnetism proved to be adequate. As XFELs advance to higher energy photons, quantum effects of electron recoil and shot noise has to be considered. This work presents quantization procedure based on the Hamiltonian formulation of an XFEL interaction in 1D case. The procedure relates the conventional variables to canonical coordinates and momenta and does not require the transformation to the Bambini-Renieri frame.** The relation of a field operator to a photon annihilation operator reveals the meaning of the quantum FEL parameter, introduced by Bonifacio, as a number of photons emitted by a single electron before the saturation takes place.*** The quantum description is then applied to study how quantum nature of electrons affects the startup of XFEL and how quantum electrons become indistinguishable from a classical ensemble of electrons due to their interaction with a ponderomotive potential of an XFEL.
* Madey JMJ 1971 J. Appl. Phys. 42 1906 13.
** Bambini A and Renieri A 1978 Lett. Nuovo Cimento 21 399-404.
*** Bonifacio R, Piovella N, Robb G R M and Schiavi A 2006 PRSTAB 9 090701.

DOI •

reference for this paper ※ https://doi.org/10.18429/JACoW-FEL2017-FRB04

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)