Following the birth of the laser in 1960, the field of "nonlinear
optics" rapidly emerged.
Today, laser intensities and pulse durations are readily available, for
which the concepts and approximations of traditional nonlinear optics no
longer apply. In this regime of "extreme nonlinear optics," a large
variety of novel and unusual effects arise, for example frequency
doubling in inversion symmetric materials or high-harmonic generation in
gases, which can lead to attosecond electromagnetic pulses or pulse
trains. Other examples of "extreme nonlinear optics" cover diverse areas
such as solid-state physics, atomic physics, relativistic free electrons
in a vacuum and even the vacuum itself.
This book starts with an introduction to the field based primarily on
extensions of two famous textbook examples, namely the Lorentz
oscillator model and the Drude model. Here the level of sophistication
should be accessible to any undergraduate physics student. Many
graphical illustrations and examples are given. The following chapters
gradually guide the student towards the current "state of the art" and
provide a comprehensive overview of the field. Every chapter is
accompanied by exercises to deepen the reader's understanding of
important topics, with detailed solutions at the end of the book.