This book is a self contained account of the most important principles of nonlinear optics. Assuming only a familiarity with basic mathematics, the fundamentals of nonlinear optics are fully developed from basic concepts, introducing and explaining the essential quantum mechanical apparatus as it arises.This book is a self-contained account of the most important principles of nonlinear optics. Assuming a familiarity with basic mathematics, the fundamentals of nonlinear optics are developed from the basic concepts, introducing and explaining the essential quantum mechanical apparatus as it arises. Later chapters deal with the materials used and the constructions that are necessary to induce the effects.Introduction; 1. The constitutive relation; 2. Review of quantum mechanics; 3. The susceptibility tensors; 4. Symmetry properties; 5. Resonant nonlinearities; 6. Wave propagation and processes in nonlinear media; 7. Dynamic optical nonlinearities in semiconductors; 8. The optical properties of artificial materials; Bibliography; Index. ...an excellent textbook of the fundamental concepts of linear optics....the thoroughness with which it treats its subject will be appreciated most by those already active in the field....For those wishing to learn nonlinear optics or for teachers looking for a textbook for a graduate-level class in nonlinear optics, The Elements of Nonlinear Optics by P.N. Butcher and D. Cotter is a good choice. Optics & Photonics News ...an excellent book, written in a truly rigorous scientific manner, with many examples scattered throughout. I. Garbacea, Computing Reviews