## Synchrotron RadiationIn this book the characteristics of synchrotron radiation, including insertion device radiation, are described and derived from first principles. The reader is first introduced to the subject in an intuitive way in order to gain familiarity with the underlying physical processes. A rigorous mathematical derivation of the theory then follows. Since the characteristics of synchrotron radiation are intimately connected with the parameters of the electron beam and its accelerator, a basic introduction to electron beam dynamics and accelerator design is included. The book is aimed at graduate students and scientists working with synchrotron radiation and is designed to serve both as a textbook and as a reference work. It includes numerous exercises, some with solutions. |

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### Contents

1 | |

2 | |

Fundamental Processes | 17 |

Overview of Synchrotron Radiation | 31 |

Exercises | 70 |

Exercise | 76 |

Exercises | 96 |

Storage Ring Design as a Synchrotron Light Source 125 | 124 |

Exercises | 176 |

Free Electron Lasers | 217 |

Exercises | 230 |

Mathematical Constants and Formulas | 243 |

Physical Formulas and Parameters 251 | 250 |

Electromagnetic Radiation | 257 |

267 | |

Theory of Synchrotron Radiation | 137 |

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### Common terms and phrases

amplitude axis beam divergence beam emittance beam energy beam line beam parameters bending magnet bending radius Bessel's functions betatron function bunch length charged particle circular accelerator components critical photon energy damping defined deflection angle derived diffraction limited distribution electric field electromagnetic fields electromagnetic radiation electron beam electron bunch elliptical polarization emission energy loss energy spread Exercise expression factor field lines finite focusing FODO lattice forward direction Gaussian harmonic horizontal insertion devices integral laboratory system longitudinal Lorentz force Lorentz transformations magnetic field maximum momentum observation orbit orthogonal particle beam particle energy particle trajectory phase ellipse phase space photon beam photon flux plane Poynting vector pulse quadrupole radiation field radiation intensity radiation is emitted radiation spectrum regime relativistic particles shown in Fig sinusoidal Solution spatial spectral storage ring synchrotron radiation synchrotron radiation power T-mode transverse undulator radiation vacuum vertical wavelength wiggler magnet x-ray