## Undulators and Free-Electron LasersThis book is a reference text for all those working in free-electron laser research as well as being a learning aid for physicists and graduate students who wish an introduction to this field. Only a basic understanding of relativistic mechanics and electromagnetism is presupposed. After an overview of early developments and general principles of operation, the different models that can be used to describe free-electron lasers are presented, organized according to their range of applicability. The relevent conceptual and mathematical constructs are built up from first principles with attention to obtaining the practically important results in a simple but rigorous way. Interaction of the undulator with the driving electron accelerator and the laser cavity and design of undulator magnets are treated and an overview is given of some typical experiments. |

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### Contents

Bibliographical note | xi |

Undulator radiation | 12 |

Overview of the general operational principles | 31 |

Copyright | |

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### Common terms and phrases

accelerator according allows amplifier amplitude angle approximation assumed average becomes calculated Chapter co-ordinates compared complex condition considered constant corresponding defined density dependence derivative determined device direction distribution effect electromagnetic electron beam emission energy equal equation experiment expression fact frame free-electron laser frequency function gain given gives Hamiltonian harmonic increasing independent initial input integral interaction length limit linear magnetic field maximum means mechanics mirror mode momentum motion moving Notice observed obtained operation optical oscillations output parameter particle particular period phase polarization position possible potential produced pulse radiation range reference regime relation represents requires resonator respect result ring seen shown solution space speed spontaneous spread structure synchronous synchrotron tapered theory transformation transverse turns undulator variables vector potential wave wavelength wavenumber zero

### References to this book

Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2 V. Kulish No preview available - 2002 |

Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2 V. Kulish No preview available - 2002 |