## Classical Relativistic Electrodynamics: Theory of Light Emission and Application to Free Electron LasersClassical Relativistic Electrodynamics presents an advanced course of classical electrodynamics with application to the generation of high-power coherent radiation in the microwave to optical-wave regions. Specifically, it provides readers with the basics of advanced electromagnetic theory and relativistic electrodynamics, guiding them step by step through the theory of free-electron lasers. The theoretical treatment throughout this book is fully developed by means of the usual three-dimensional vector calculus. This book can be recommended as a graduate-level textbook or a reference book in the fields of advanced electromagnetic theory, relativistic electrodynamics, beam physics and plasma sciences. |

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### Contents

1 | |

Foundations of Relativistic Electrodynamics 35 | 34 |

Radiation from a Moving Charged Particle | 63 |

Macroscopic Theory of Relativistic Electron Beams 9 | 91 |

Stimulated Cherenkov Effect | 129 |

SingleParticle Theory of the FreeElectron Laser 1 59 | 158 |

Collective Theory of the FreeElectron Laser | 179 |

FDTD Analysis of BeamWave Interaction | 199 |

on the Grating Parameters | 215 |

223 | |

### Other editions - View all

Classical Relativistic Electrodynamics: Theory of Light Emission and ... Toshiyuki Shiozawa No preview available - 2010 |

### Common terms and phrases

amplitude assume beam-wave interaction beat wave boundary conditions charge and current charge density Cherenkov laser Cherenkov radiation closed contour component of electric constitutive relations corresponding current density defined denotes dielectric grating direction discussion dispersion relation drift velocity electric and magnetic electric field electromagnetic fields electromagnetic wave electron plasma wave emitted energy density ensemble of electrons expressed field components field vectors Fourier component free-electron laser frequency and wave frequency domain frequency spectrum function groove depth Hence inertial system integral kinetic energy longitudinal Lorentz transformation magnetic field magnetostatic field material medium Maxwell equations momentum obtained orbit oscillating permittivity phase velocity position power flow density pulse pump wave region relativistic electron beam represented rest frame rewrite right-hand side scalar scattered wave shown in Fig space-charge wave spatial superparticles synchrotron radiation temporally tensor time-average transformation formulas transverse vacuum wave mode wave number wave packet wave propagated