The Integral Equation for a High Gain Fel
نویسنده
چکیده
The theory of a high gain free electron laser (FEL) is now well developed (e.g., see [1]). In this paper I derive the equation for the electron distribution function, which is valid for FELs with a longitudinally inhomogeneous magnetic system (which may include, in particular, dispersive sections, quadrupole lenses, and simply empty spaces between the undulator sections), magnetic field errors in undulators, and some other options. The integral form of the equation may be useful for numerical calculations.
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