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Intended for readers with a background in classical electromagnetic theory, this book develops the basic principles that underlie nonlinear optical phenomena in matter. It begins with a discussion of linear wave propagation in dispersive media, moves into weak nonlinearities which can be discussed in a pertuberative manner, then it examines strong nonlinear effects (solitons, chaos). The emphasis is on the macroscopic description on nonlinear phenomena, within a semiclassical framework. Two new chapters cover surface optics and magneto-optic phenomena. The book is aimed at the student or researcher who is not a specialist in optics but needs an introduction to the principal concepts.Since the book was first published in 1991, the field of surface nonlinear optics has grown substantially to the point where an exposition of the principles of this field will prove useful to many. Thus, in this second edition, Chapter 8 addresses this area. Also, optical probes of magnetism of very thin films and multilayers are now widely used, and magneto-optic devices of increasing sophistication have appeared. Chapter 9 is thus devoted to magneto-optics, and associated nonlinear phenomena. The earlier chapter on Chaos appears as Chapter 10. The philosophy which underlies the first edition was also employed in the writing of the two new chapters. Irvine, CA D.L.Mills March 1998 Preface to the First Edition One intriguing aspect of physics is its dynamic and rapidly evolving nature; exciting new fields can become moribund within relatively few years, only to revive and grow again in a dramatic and explosive manner in response to new developments.1. Introductory Remarks.- Problems.- 2. Linear Dielectric Response of Matter.- 2.1 Frequency Dependence of the Dielectric Tensor.- 2.2 Wave Vector Dependence of the Dielectric Tensor.- 2.3 Electromagnetic Waves in Anisotropic Dielectrics.- Problems.- 3. Nonlinear Dielectric Response of Matter.- 3.1 Frequency Variation of the Nonlinear Suscepl˝
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