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Analysis of saturation for the high gain free-electron laser

Analysis of saturation for the high gain free-electron laser

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  We investigate the perturbation expansion for the solution of the nonlinear one-dimensional free-electron laser equations. In the case of monochromatic wave, the intensity of emitted radiation field satisfies scaled equations for large distance z travel along the undulator. Therefore, the radiation field is expanded in a Taylor series having a finite radius of convergence. Analytic continuation using Pad? approximation yields accurate results well into the saturation regime.

Abstract<BR>1. Introduction<BR>2. The Scaled Equations<BR>3. The Perturbation Expansion<BR>4. Pad? Approximation<BR>5. Conclusions<BR>REREFENCES<BR>

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