An Analytical Method for Construction of Single Particle Electron Trajectories in Free Electron Lasers

Abstract

We apply a method of Linshtedt, also called improved expansion, to solve the equations of motion and obtain single-particle trajectories of electrons moving in crossed static magnetic fields of a hybrid non-relativistic free electron laser. Making use of a natural small parameter, the ratio of the amplitude of spatially periodic magnetic field and the guide magnetic field, one can re-write the motion equations for an electron in a form, which allows their solution by an asymptotic series. In such a way the non-linear frequency shifts and renormalized mean electron velocity are calculated analytically. The analytical results are in a good compared with numerical simulations of the electron trajectories.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2002
Accession Number
ADP013977

Entities

People

  • Boris P. Yefimov
  • Kostyantyn V. Ilyenko
  • Tetyana Y. Yatsenko
  • Vitaly A. Goryashko

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Construction
  • Differential Equations
  • Electromagnetic Fields
  • Electromagnetism
  • Electron Beams
  • Electronic Mail
  • Electrons
  • Equations
  • Equations Of Motion
  • Free Electron Lasers
  • Free Electrons
  • Frequency
  • Magnetic Fields
  • Particles
  • Technical Information Centers
  • Trajectories

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Directed Energy
  • Microelectronics