Simple model for the nonlinear radiation field of a free electron laser

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Abstract

It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary detuning from resonance, which enables study of the spectral properties in the early nonlinear regime.

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APA

Hemsing, E. (2020). Simple model for the nonlinear radiation field of a free electron laser. Physical Review Accelerators and Beams, 23(12). https://doi.org/10.1103/PhysRevAccelBeams.23.120703

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