1979
DOI: 10.1103/physreva.19.288
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"Exact" classical electron dynamic approach for a free-electron laser amplifier

Abstract: %e have calculated the gain of a free-electron laser in the smaH-gain-per-pass limit by using the singleparticle model. The electron equations of motion reduce to that of a simple pendulum. As operating levels increase, the theory predicts that by varying the amount of detuning, gain enhancement should occur. In addition, we calculate the electron energy and phase distributions at the output of the amplifier assuming the electrons entering are monoenergetic and have a uniform phase distribution. Above a certai… Show more

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Cited by 61 publications
(14 citation statements)
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“…(2) and (30) are not valid. In this article we describe the electron dynamics in the combined wiggler and radiation wave fields (the ponderomotive wave) in terms of the pendulum model [35],…”
Section: Stimulated Superradiance In Electron-beam Radiatorsmentioning
confidence: 99%
“…(2) and (30) are not valid. In this article we describe the electron dynamics in the combined wiggler and radiation wave fields (the ponderomotive wave) in terms of the pendulum model [35],…”
Section: Stimulated Superradiance In Electron-beam Radiatorsmentioning
confidence: 99%
“…The expansion of the beam radius along the propagation direction k is expressed by [18] w2(z)=w0'[1 +(2gz/ztwo) 2 ], (5) where w o is the minimum radius at the beam waist and As is the wavelength of the radiation . For a stable resonator with two mirrors of radius of curvature R and separated by a distance d, the minimum beam waist is estimated as…”
Section: Output Power and Output Wavelengthmentioning
confidence: 99%
“…For the last ten years, tremendous theoretical efforts have been concentrated on understanding the classical gain mechanism of the free-electron-laser amplifier [3][4][5][6][7][8][9][10], yet very little investigation has been devoted to the theoretical implications of the free-electronlaser oscillator [10][11][12][13][14][15] . In this paper, a theory is presented to account for the experimental results observed in the steady state of the Stanford free-electron-laser (FEL) oscillator which consists of a 43 MeV electron beam, a helical periodic magnet of period 3 .…”
Section: Introductionmentioning
confidence: 99%
“…In pioneering works [5][6][7][8][9] analytical investigations of stationary regimes of microwave amplification and generation in a hybrid FEM were carried out; later these results were refined mainly through numerical simulations. Experimentalists [10][11][12][13] reported a considerable loss of electron beam current and microwave power for a hybrid FEM for a certain range of values of the guide magnetic field.…”
Section: Introductionmentioning
confidence: 99%