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• W2114549217 abstract "We analyze free-electron-laser (FEL) oscillations in a perfectly synchronized optical cavity by solving the one- dimensional FEL equations. The radiation stored in the cavity can finally evolve into an intense few-cycle optical pulse in the high-gain and low-loss regime. The evolution of the leading slope of the optical pulse, which is defined from the front edge toward the primary peak, is found to play an important role in generating the intense few-cycle pulse. The phase space evolution of electrons on the sec- ond pass which interact with the leading slope of a SASE output pulse is obtained in a perturbation method similar to that used in our previous study for a SASE FEL. The re- sulting analyticalsolutionof theleadingslopein the second pass is shown to be approximated by that of a SASE FEL with FEL parameter greater than ρ. The same perturbation method can thus be used to the subsequent passes. ble for the lasing at δL =0 . Nevertheless, the underlying physics responsible for the FEL oscillations at δL =0 has not been clearly explained yet. In this paper, we investigatethe FEL evolutionat δL =0 by analytically solving the 1D FEL equations. A set of nondimensionalparametersandthe 1D FEL equationsused in Ref. (12) are employedfor the present study. The optical pulse on the first pass, which is equivalentto the output of a self-amplified spontaneous-emission(SASE) FEL and rep- resented by the solution of the cubic equation (14, 15, 16), is reflected back into the undulator for subsequent ampli- fications in FEL oscillators. The phase space evolution of electronsonthe secondpass whichinteractwith the leading slope oftheFELpulse, whichis definedfromthefrontedge toward the primary peak amplitude in the present paper, is obtained in a perturbation method similar to that used in our previous work for the phase space evolution of elec- trons in a SASE FEL (12). Consequently, an analytical solution for the optical growth of the leading slope during the second pass is derived. The leading slope of the output pulse is shown to be approximated by that of a SASE FEL with FEL parameter greater than ρ. The same process can thus be applied to pass numbers greater than n =2 and the evolution of the leading slope with respect to n is obtained analytically. The outputfield similar to that of a SASE FEL accounts for the exponential increase of the field amplitude in the leading slope from the front edge toward the primary peak, and the amplitude gradient with respect to the lon- gitudinal position is shown to increase with n. With the increasing gradient, the field gain per pass decreases down to the level of optical cavity loss α, and a self-similar radi- ation pulse is generated at saturation. The evolution of the leading slope leads to sustained FEL oscillations at δL =0 and thus disappearance of the lethargy effect. More details are described in Ref. (13)." @default.
• W2114549217 created "2016-06-24" @default.
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• W2114549217 date "2006-12-01" @default.
• W2114549217 modified "2023-09-26" @default.
• W2114549217 title "Analysis of FEL oscillations in a perfectly synchronized optical cavity" @default.
• W2114549217 hasPublicationYear "2006" @default.
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