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Betatron oscillations in a free electron laser

Li-Hua Yu, S. Krinsky

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Abstract

A dispersion relation is used to study the effect of betatron oscillations on the gain of a guided mode in a free electron laser operating in the high-gain regime before saturation. We assume the electron beam to be matched to the natural focussing of a helical wiggler, and our treatment includes the effects of the finite energy spread and emittance of the electron beam, the transverse gradient in the wiggler, and the variation of the electromagnetic wave transverse phase experienced by the electrons due to betatron oscillations.

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A dispersion relation is used to study the effect of betatron oscillations on the gain of a guided mode in a free electron laser operating in the high-gain regime before saturation. We assume the electron beam to be matched to the natural focussing of a helical wiggler, and our treatment includes the effects of the finite energy spread and emittance of the electron beam, the transverse gradient in the wiggler, and the variation of the electromagnetic wave transverse phase experienced by the electrons due to betatron oscillations.

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Available abstract

A dispersion relation is used to study the effect of betatron oscillations on the gain of a guided mode in a free electron laser operating in the high-gain regime before saturation. We assume the electron beam to be matched to the natural focussing of a helical wiggler, and our treatment includes the effects of the finite energy spread and emittance of the electron beam, the transverse gradient in the wiggler, and the variation of the electromagnetic wave transverse phase experienced by the electrons due to betatron oscillations.

Key concepts: Betatron, Wiggler, Physics, Thermal emittance, Electron, Free-electron laser, Beam emittance, Cathode ray

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