Based on the author's extensive teaching experience and lecture notes, this textbook provides a substantially analytical rather than descriptive presentation of nonlinear optics. Divided into five parts, with most chapters corresponding to a two-hour lecture, the book begins with a unique account of the historical development from Kirchhoff's law for the black-body radiation to Planck's quantum hypothesis and Einstein's discovery of spontaneous emission - providing all the explicit proofs. The subsequent sections deal with matter quantization, ultrashort pulse propagation in 2-level media, cavity nonlinear optics, chi(2) and chi(3) media. For graduate and PhD students in nonlinear optics or photonics, while also representing a valuable reference for researchers in these fields.

Part I: Quantized matter 2- and 3-level media Atomic interference Electromagnetically induced transparency Slow light Part II: Sine-Gordon solitons Self-induced transparency Sine-Gordon equation - derivation and solutions Part III: Cavity nonlinear optics lasers Optical bistability Part IV: ?(2) media Second harmonic generation Sum and difference frequency generation Optical parametric oscillators Part V: ?(3) media Multiwave mixing Optical phase conjugation Nonlinear Schrodinger equation - derivation and solutions