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Coherent Emission: Linear Theory

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Principles of Free-Electron Lasers

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Abstract

In order to give rise to stimulated emission, it is necessary for the electron beam to respond in a collective manner to the radiation field and to form coherent bunches. This can occur when a light wave traverses an undulatory magnetic field such as a wiggler because the spatial variations of the wiggler and the electromagnetic wave combine to produce a beat wave, which is essentially an interference pattern. It is the interaction between the electrons and this beat wave which gives rise to the stimulated emission in free-electron lasers. In the case of a magnetostatic wiggler, this beat wave has the same frequency as the light wave, but its wavenumber is the sum of the wavenumbers of the electromagnetic and wiggler fields. As a result, the phase velocity of the beat wave is less than that of the electromagnetic wave and it is called a ponderomotive wave. Since the ponderomotive wave propagates at less than the speed of light in vacuo it can be in synchronism with electrons which are limited by that velocity.

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Authors and Affiliations

  1. Science Applications International Corporation, McLean, Virginia, USA

    H. P. Freund

  2. University of Maryland, College Park, Maryland, USA

    T. M. Antonsen Jr.

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© 1992 H. P. Freund and T. M. Antonsen, Jr

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Freund, H.P., Antonsen, T.M. (1992). Coherent Emission: Linear Theory. In: Principles of Free-Electron Lasers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2316-7_4

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  • DOI: https://doi.org/10.1007/978-94-011-2316-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5023-4

  • Online ISBN: 978-94-011-2316-7

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