A description of guided fel radiation with dielectric waveguide eigenmodes

E. Hemsing, G. Andonian, J. Rosenzweig, A. Gover

Research output: Contribution to conferencePaperpeer-review

Abstract

We present a description of free-electron laser (FEL) radiation in the high-gain, small-signal regime through an expansion of eigenmodes of a virtual dielectric waveguide. A set of coupled differential equations is derived for the slowly-varying mode expansion coefficients and the electron beam density modulation amplitudes. The equations are decoupled into an algebraic matrix equation for solutions of the self-similar FEL supermodes that propagate with a self-similar profile. For a suitable choice of the form of the virtual dielectric, this virtual dielectric waveguide expansion (VDE) approach has the advantage of describing gain-guided FEL radiation over many Rayleigh lengths in terms of a basis that parallels the standard gaussian modes of free-space paraxial optics.

Original languageEnglish
Pages65-68
Number of pages4
StatePublished - 2007
Event29th International Free Electron Laser Conference, FEL 2007 - Novosibirsk, Russian Federation
Duration: 26 Aug 200731 Aug 2007

Conference

Conference29th International Free Electron Laser Conference, FEL 2007
Country/TerritoryRussian Federation
CityNovosibirsk
Period26/08/0731/08/07

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