Contents



Preface

Nonlinear optics is one of the most important and rapidly developing fields of modern physics related to the nonlinear interaction between light and matter. Generally, all media are optically nonlinear. However, these nonlinearities are very weak. For this reason, nonlinear optical phenomena had been first observed experimentally in the early 1960s after the invention of the laser as a source of coherent and sufficiently strong optical radiation. Typical nonlinear optical effects are sum and difference frequency harmonics generation, higher harmonic generation, self-focusing of light beams, self-phase modulation of optical pulses, soliton formation and propagation, stimulated light scattering, four-wave mixing, nonlinear dynamics of lasers and optical amplifiers, etc. The theoretical analysis of nonlinear optical effects is based on the simultaneous solution of Maxwell's equations and the equations of motion of a medium excited by optical waves. Such an approach results in a system of nonlinear differential equations, which is typically solved by using the slowly varying envelope approximation (SVEA). Nonlinear optical effects are widely used in modern optical communications and optical signal processing. These applications require novel theoretical and experimental investigations in nonlinear

The objective of this book is to discuss novel results concerning both theoretical analysis and experimental observation of optical pulse generation and stimulated

The book consists of eight chapters divided into four sections. Section 1 is an introduction. In Chapter 1, the basic equations and theoretical approach to the analysis of nonlinear optical phenomena are summarized. Essential nonlinear optical effects are briefly reviewed. The contents of Chapter 1 should facilitate an understanding

Section 2 consists of three chapters. In this section, novel results in mathematical methods of nonlinear optical effects analysis are presented. In Chapter 2, novel methods of the nonlinear Schrödinger equation (NLSE) solution for optical pulse propagation in optical fibers are presented. Fiber losses, higher-order dispersion coefficients, noise, and different modulation formats are taken into account. In Chapter 3, three novel solutions of NLSE are introduced. They represent the nonlinear superposition of real and complex exponential and trigonometric functions. In Chapter 4, a new theory of Vavilov–Cherenkov radiation (VCR) is presented.

Section 3 consists of two chapters. In this section, nonlinear effects related to optical pulse generation are discussed. In Chapter 5, nonlinear effects that accompany nanosecond pulse generation in optical fibers are investigated theoretically and experimentally. In Chapter 6, methods of nonlinear optical generation efficiency

light scattering in optical fibers and nanostructures.

enhancement are demonstrated experimentally.

optics.

of the following sections.
