A Wigner function model for free electron lasers

Piovella, N.; Cola, Mary M.; Volpe, L.; Gaiba, R.; Schiavi, A.; Bonifacio, R.

doi:10.1016/j.optcom.2007.02.061

Cited by 13 publications

(14 citation statements)

References 19 publications

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“…19. This kinetic equation reduces to the Vlasov equation, which gives the classical FEL limit under ӷ 1, which means that the quantum recoil effect due to single-photon process is negligible.…”

Section: Wave Kinetic Descriptionmentioning

confidence: 99%

Quantum wave kinetics of high-gain free-electron lasers

Serbêto

Mendonça²,

Tsui

et al. 2008

Physics of Plasmas

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Theory of high gain free-electron lasers operating with segmented undulatorsA wave kinetic equation equivalent to the Schrodinger-like equation for the electrons is derived from relativistic theory in the eikonal approximation. This equation is used to study the interaction of the relativistic electron beam in a wiggler field in the quantum regime, i.e., when the normalized quantum free-electron laser parameter ഛ 1. A general quantum dispersion relation and an expression for free-electron laser instabilities are derived. Conditions for kinetic instability, which takes into account the Landau damping effect, are established.

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Section: Wave Kinetic Descriptionmentioning

confidence: 99%

Quantum wave kinetics of high-gain free-electron lasers

Serbêto

Mendonça²,

Tsui

et al. 2008

Physics of Plasmas

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“…Equations (14)- (17) describe the dynamics of the quantum FEL regime in the two-level approximation. The spontaneous emission has two main effects on the FEL dynamics: (a) it causes the decay of the bunching B (i.e., of the coherence between the two momentum states) and (b) it causes additional transitions from the momentum states m ¼ 0 and m ¼ -1 to lower momentum states, with a rate b= q, as described by the last terms of Eqs.…”

Section: à1=2mentioning

confidence: 99%

“…Notice that with these definitions, jA 0 j 2 represents the average number of photons emitted per electron. Without spontaneous emission, i.e., for D ¼ 0, the equations have the following analytic solution at resonance (d 0 ¼ 0), 17,19 for P 0 ð0Þ ¼ 1; P À1 ð0Þ ¼ 0; A 0 ð0Þ ¼ 0, and B 0 ð0Þ ( 1:…”

Section: à1=2mentioning

confidence: 99%

“…Here, we further investigate the role of the spontaneous emission in FELs using a model based on a discrete Wigner function. 16,17 We study in detail the electron dynamics and the radiation growth along the undulator. Furthermore, we present the results of a linear analysis, from which we can estimate the effect of the spontaneous emission on the growth rate of the intensity.…”

Section: Introductionmentioning

confidence: 99%

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The detrimental effect of spontaneous emission in quantum free electron lasers: A discrete Wigner model

2018

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We study the spontaneous emission in high-gain free-electron lasers operating in the quantum regime and its detrimental effect on coherent emission. A quantum model describing the coherent and spontaneous emission in free electron lasers has been recently proposed and investigated [G. R. M. Robb and R. Bonifacio, Phys. Plasmas 19, 073101 (2012)]. The model is based on a Wigner distribution describing the electron beam dynamics, coupled to Maxwell equations for the emitted radiation field. Here, we rephrase the model in a more rigorous way, considering a discrete Wigner distribution defined for a periodic space coordinate for which the electron momentum is discrete. From its numerical solution, we find good agreement with the approximate continuous model. In the quantum regime of the free-electron laser, we obtain a simple density matrix equation for two momentum states, where the role of the spontaneous emission has a clear interpretation in terms of coherence decay and population transfer.

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“…The free electron laser (FEL) holds great potential as a source of intense coherent short-wavelength radiation. Theoretical investigations of FEL have been developed in the both context of classical [1][2][3][4][5] and quantum mechanical regime [6][7][8][9][10][11][12][13][14][15]. The free electron lasers have been divided into two main groups.…”

Section: Introductionmentioning

confidence: 99%

Quantum statistical properties of free-electron laser with ion-channel guiding

Mehdian¹,

Alimohamadi²,

Hasanbeigi³

2012

J. Plasma Phys.

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The operation of the quantum free-electron lasers (QFELs) with a helical wiggler and in the presence of ion-channel guiding is considered. The quantum Hamiltonian of single particle has been derived in the Bambini-Renieri (BR) frame. Time dependent wave function and three constants of motion are obtained. The Raman-Nath equation (RNE) and its approximation solution have been calculated, and then the resulted solution has been employed to obtain the quantum gain, photon statistics parameter and squeezing parameter. A quantum approach has been used to get quantum statistical properties of the FEL and the photon gain formula for the small signal gain limit. It is found that the ion-channel guiding decreases the squeezing. Also, the conditions for positive (bunching) and negative (antibunching) gain have been studied numerically.

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A Wigner function model for free electron lasers

Cited by 13 publications

References 19 publications

Quantum wave kinetics of high-gain free-electron lasers

Quantum wave kinetics of high-gain free-electron lasers

The detrimental effect of spontaneous emission in quantum free electron lasers: A discrete Wigner model

Quantum statistical properties of free-electron laser with ion-channel guiding

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