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Dispersion relation of a two-beam free electron laser with realistic helical wiggler and ion channel guiding in the presence of self-fields

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Abstract

In this study, dispersion relation and growth rate for a two-beam free-electron laser with a real (three-dimensional) helical wiggler in the presence of ion channel guiding and self-fields has been investigated. The dispersion relation is calculated by considering the interaction between the electron beam and the radiation fields and by simultaneously solving the Lorentz force equation, the continuity equation, and the wave equation. In the calculations, Floquet’s theorem and the linearization of the equations are used. The results showed that the growth rate of a two-beam free-electron laser is significantly higher than the growth rate of a single-beam free-electron laser for group I and group II.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Urmia University, Urmia, Iran

    Golshad Kheiri

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  1. Golshad Kheiri
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Correspondence to Golshad Kheiri.

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Kheiri, G. Dispersion relation of a two-beam free electron laser with realistic helical wiggler and ion channel guiding in the presence of self-fields. Appl. Phys. B 128, 80 (2022). https://doi.org/10.1007/s00340-022-07796-w

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