## A Superintense Laser-Plasma Interaction Theory PrimerThe continuous trend towards higher and higher laser intensities has opened the way to new physical regimes and advanced applications of laser-plasma interactions, thus stimulating novel connections with ultrafast optics, astrophysics, particle physics, and biomedical applications. This book is primarily oriented towards students and young researchers who need to acquire rapidly a basic knowledge of this active and rapidly changing research field. To this aim, the presentation is focused on a selection of basic models and inspiring examples, and includes topics which emerged recently such as ion acceleration, "relativistic engineering" and radiation friction. The contents are presented in a self-contained way assuming only a basic knowledge of classical electrodynamics, mechanics and relativistic dynamics at the undergraduate (Bachelor) level, without requiring any previous knowledge of plasma physics. Hence, the book may serve in several ways: as a compact textbook for lecture courses, as a short and accessible introduction for the newcomer, as a quick reference for the experienced researcher, and also as an introduction to some nonlinear mathematical methods through examples of their application to laser-plasma modeling. |

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### Contents

1 | |

5 | |

3 Relativistic Nonlinear Waves in Plasmas | 37 |

4 Electron Acceleration | 59 |

5 Ion Acceleration | 80 |

6 Photon Acceleration and Relativistic Engineering | 107 |

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### Common terms and phrases

absorption amplitude assume attosecond beam boosted frame boundary conditions Bulanov charge circular polarization collisionless component consider corresponding defined density profile described dispersion relation dynamics effects electric field electron acceleration electron oscillation electrostatic energy equation of motion experimental fast electrons field Ex finite fluid equations flying mirror frad frequency front function Gibbon initial integral intensity ion acceleration laser pulse layer Lett linear polarization longitudinal Lorentz boost Lorentz force Macchi momentum moving mirror Mulser non-relativistic nonlinear Notice obtain oscillation overdense plasma parameters particle perturbation phase velocity Phys physics plane wave plasma oscillations plasma physics plasma wave Poisson’s equation ponderomotive force potential propagation protons radiation pressure reflected regime region relativistic resonant scale Sect self-consistent sheath field sheet simulations solution spatial spectrum surface threshold trajectory transverse underdense plasma vacuum vector vector potential wake wave wakefield wavelength