Abstract

We present a unified model and analysis of radiation modes excitation in free-electron lasers with a periodically premodulated electron beam. The formulation characterizes superradiant coherent radiation emission from electron beam prebunched at the synchronous frequency, including the case of stimulated superradiant where in addition to a prebunched electron beam an electromagnetic wave is injected into the undulator region. The derived formulation of radiation mode excitation by currents is applicable to general structures that can support orthogonal eigenmodes.

Highlights

  • The subject of electromagnetic radiation emission by relativistic charged particles is a fundamental problem of classical electrodynamics [1,2]

  • The formulation characterizes superradiant coherent radiation emission from electron beam prebunched at the synchronous frequency, including the case of stimulated superradiant where in addition to a prebunched electron beam an electromagnetic wave is injected into the undulator region

  • In free-electron lasers (FELs) the electromagnetic radiation can be extracted in several different schemes from an electron beam, which passes through a magnetic undulator

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Summary

INTRODUCTION

The subject of electromagnetic radiation emission by relativistic charged particles is a fundamental problem of classical electrodynamics [1,2]. Since the e-beam bunching is the driver of the radiation process, the concept of electron beam prebunching was derived as means for enhancing the radiative emission process and generation of harmonics [15,16,17,18,19,20,21,22,23,24,25,26,27,28] In this case the longitudinally coherent radiation emission process does not require insertion of an external electromagnetic wave field. In their paper the authors developed a nonlocal theory of a free-electron laser driven by a prebunched electron beam in a cylindrical waveguide, and they studied the three-wave nonlinear coupling involving a magnetostatic wiggler, a negative beam space charge wave, and an electromagnetic signal in the collective Raman and Compton regimes. This will allow the verification of the analytical formulation obtained in the previous stages

AN ANALYTICAL MODEL FOR PREBUNCHED E-BEAM FEL
Mode excitation by currents in a general structure
Aout q0
The current density in a prebunched e-beam
Superradiance from a prebunched e-beam
SUPERRADIANCE AND STIMULATED SUPERRADIANCE FROM A PREBUNCHED E-BEAM
Stimulated superradiance from a prebunched e-beam
SUMMARY AND CONCLUSION
Methods
Full Text
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