Experimental and Theoretical Aspects of the Free-Electron Laser

Dattoli, G.; Renieri, A.

doi:10.1016/b978-0-444-86927-2.50005-x

Cited by 55 publications

(39 citation statements)

References 114 publications

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“…Even the slippage effect is negligible because the slippage length is small with respect to the electron and laser pulse length. The heating process is therefore well described by the small gain theory with a single mode [75]. Table 1.…”

Section: Landau Dampingmentioning

confidence: 95%

Design and Simulation Challenges of a Linac-Based Free Electron Laser in the Presence of Collective Effects

Mitri¹

2012

Free Electron Lasers

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Section: Landau Dampingmentioning

confidence: 95%

Design and Simulation Challenges of a Linac-Based Free Electron Laser in the Presence of Collective Effects

Mitri¹

2012

Free Electron Lasers

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“…The formulas derived in this manner are very complicated since they include all terms of the cubic power of small quantities. However, these formulas give a higher approximation to electron trajectories in the undulator field than those derived in the smoothed (focusing) approximation [10][11][12]. Analysis of these highly accurate expressions shows that electron motion in undulator magnetic field is very sophisticated and cannot be reduced to the standard focusing effects.…”

Section: Introductionmentioning

confidence: 99%

“…It is correct to suppose that these numerically simulated trajectories are highly accurate results. The checking of these numerically simulated trajectories was made against analytically calculated trajectories, obtained by using the oscillation-averaging method (focusing approximation) [10][11][12]. This comparison has been demonstrated in a conclusive way that in most cases the numerically simulated trajectories differ significantly from those calculated by using the analytical formulas derived in focusing approximation.…”

Section: Introductionmentioning

confidence: 99%

“…Electron long-wave anharmonic betatron oscillations in very long undulator magnetic fields were considered in [9]. The action of the focusing properties of undulators on the operation of free-electron lasers was studied in [10][11][12]. In addition, a configuration of an undulator with a parabolic shape of the magnetic-pole surface was also proposed in [10].…”

Section: Introductionmentioning

confidence: 99%

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Motion of Electrons in Planar Ideal Undulator

Smolyakov¹

2018

Accelerator Physics - Radiation Safety and Applications

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This chapter describes the motion of relativistic electrons in three-dimensional ideal undulator magnetic field. The undulator magnetic field satisfies the stationary Maxwell equations. Usually, the differential equations of electron motion in three-dimensional sinusoidal magnetic field are analysed by averaging over the fast electron oscillations. This averaging method was applied in a number of previously published papers. In this study, the nonlinear differential equations for electron motion were solved analytically by using the perturbation theory. The analytic expressions for trajectories obtained by this method describe the electron trajectories more accurately as compared with the formulas, which were obtained within the framework of the averaging method. An analysis of these expressions shows that the behaviour of electrons in such a three-dimensional field of the undulator is much more complicated than it follows from the equations obtained by the averaging method. In particular, it turns out that the electron trajectories in a planar undulator are cross-dependent. A comparison of the trajectories, calculated using these new analytical expressions with the numerically calculated trajectories using the RungeKutta method, demonstrated their high accuracy.

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“…By varying the desynchronism between the periodic beam injection and the round-trip time of the radiation in the cavity, it is possible to control the overlap between the radiation and the electron pulses during many round-trips. In fact, a finite desynchronism dL is necessary to maintain synchronism between electron and optical pulses in the cavity because of the effect of laser lethargy [1], which causes the centroid of the optical pulse to travel slower than the speed of light in vacuum.…”

Section: Introductionmentioning

confidence: 99%

Modulated desynchronism in short pulse free-electron laser oscillators

Calderón

Kimura

Smith

2000

Phys. Rev. ST Accel. Beams

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We present an experimental and theoretical study of the effect of desynchronism modulation on short pulse free-electron laser (FEL) oscillators. We find that the output power and the micropulse length of the FEL beam oscillate periodically at the modulation frequency and that the minimum micropulse length during the cycle can be significantly shorter than that which can be obtained without modulation. For example, when the desynchronism of our FEL is modulated at 40 kHz, the minimum measured micropulse length is 300 fs. Without modulation the minimum is about 700 fs. We show that when the desynchronism is modulated, the FEL can operate for part of the cycle in the normally inaccessible portion of the output power curve where the FEL gain is less than the cavity losses. It is even possible for the FEL to operate periodically in the region of negative desynchronism where gain, as normally defined, does not exist.

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Experimental and Theoretical Aspects of the Free-Electron Laser

Cited by 55 publications

References 114 publications

Design and Simulation Challenges of a Linac-Based Free Electron Laser in the Presence of Collective Effects

Design and Simulation Challenges of a Linac-Based Free Electron Laser in the Presence of Collective Effects

Motion of Electrons in Planar Ideal Undulator

Modulated desynchronism in short pulse free-electron laser oscillators

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