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Perturbation Expansion for High-Gain Free-Electron Laser Saturation.

DE2003812610

Publication Date	2003
Personal Author	Krinsky, S.
Page Count	32
Abstract	The authors develop a perturbation expansion for the solution of the nonlinear one-dimensional free-electron laser equations. For a monochromatic wave, the radiation field is expanded in a Taylor series having a finite radius of convergence. Analytic continuation using Pade' approximates yields accurate results well into the saturation regime. We also formulate the perturbation expansion for finite bandwidth, self-amplified spontaneous-emission (SASE), and determine the lowest order correction to the well-known linear theory. Motivated by an approximation to the expansion coefficients, we introduce a simplified model for the SASE radiation field, and use it to discuss SASE statistics in the saturation regime, before the onset of the sideband instability.
Keywords	Free electron lasers Saturation Instability Disturbances Mathematical models
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200407
Contract Number	DE-AC03-76SSF00515

Perturbation Expansion for High-Gain Free-Electron Laser Saturation.

Perturbation Expansion for High-Gain Free-Electron Laser Saturation.
DE2003812610

Publication Date	2003
Personal Author	Krinsky, S.
Page Count	32
Abstract	The authors develop a perturbation expansion for the solution of the nonlinear one-dimensional free-electron laser equations. For a monochromatic wave, the radiation field is expanded in a Taylor series having a finite radius of convergence. Analytic continuation using Pade' approximates yields accurate results well into the saturation regime. We also formulate the perturbation expansion for finite bandwidth, self-amplified spontaneous-emission (SASE), and determine the lowest order correction to the well-known linear theory. Motivated by an approximation to the expansion coefficients, we introduce a simplified model for the SASE radiation field, and use it to discuss SASE statistics in the saturation regime, before the onset of the sideband instability.
Keywords	Free electron lasers Saturation Instability Disturbances Mathematical models
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200407
Contract Number	DE-AC03-76SSF00515