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" Nonlinear Optics : "
by D.L. Mills.
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BL
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| Record Number
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758771
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b578737
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| Main Entry
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by D.L. Mills.
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| Title & Author
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Nonlinear Optics : : Basic Concepts\ by D.L. Mills.
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg, 1991
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| Page. NO
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(viii, 184 pages 32 illustrations)
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| ISBN
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3662002132
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: 9783662002131
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| Contents
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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 Susceptibilities --; 3.2 Wave Vector Dependence of the Nonlinear Susceptibilities --; 3.3 Remarks on the Order of Magnitude of the Nonlinear Susceptibilities --; Problems --; 4. Basic Principles of Nonlinear Wave Interactions: Second Harmonic Generation and Four Wave Mixing --; 4.1 Perturbation Theoretic Analysis of Second Harmonic Generation --; 4.2 Methods of Achieving the Phase Matching Condition --; 4.3 Evolution of the Second Harmonic Wave under Phase Matched Conditions --; 4.4 Other Examples of Nonlinear Wave Interactions --; Problems --; 5. Inelastic Scattering of Light from Matter: Stimulated Raman and Brillouin Scattering --; 5.1 Quantum Theory of Raman Scattering --; 5.2 Stimulated Raman Effect --; 5.3 Contribution to Four Wave Mixing from the Raman Nonlinearity --; 5.4 Brillouin Scattering of Light --; Problems --; 6. Interaction of Atoms with Nearly Resonant Fields: Self-Induced Transparency --; 6.1 Description of the Wave Function under Near Resonant Conditions --; 6.2 Bloch Equations: Power Broadening and Saturation Effects in Absorption Spectra --; 6.3 Self-Induced Transparency --; 6.4 Area Theorem --; 6.5 Sine-Gordon Equation --; Problems --; 7. Self-Interaction Effects in One-Dimensional Wave Propagation: Solitons in Optical Fibers and in Periodic Structures --; 7.1 Normal Modes of Optical Fibers --; 7.2 Nonlinear Schrödinger Equation --; 7.3 Linear Theory of Pulse Propagation in a Dispersive Medium: Application to Optical Fibers --; 7.4 Solitons and the Nonlinear Schrödinger Equation --; 7.5 Gap Solitons in Nonlinear Periodic Structures --; Problems --; 8. Chaos --; 8.1 Duffing Oscillator: Transition to Chaos --; 8.2 Routes to Chaos --; 8.3 Experimental Observations of Chaos in Optical Systems --; Problems --; Appendix A: Structure of the Wave Vector and Frequency Dependent Dielectric Tensor --; Appendix B: Aspects of the Sine-Gordon Equation --; References.
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| Abstract
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The text presents the key concepts in nonlinear optics at a level that will also be accessible to the non-specialist who wishes to acquire a foundation in the field. The principal equations of nonlinear physics are also encountered (Sine Gordon equation, nonlinear Schrödinger equation), and their soliton solutions examined and related to nonlinear optics. The final chapter addresses the chaotic response of nonlinear systems. The book will appeal to graduate students in physics, physical chemistry and electronic engineering. The major topics include principles of the linear and nonlinear dielectronic response of matter, second-harmonic generation, four-wave mixing, and the inelastic scattering of light from matter, with attention also given to stimulated scattering. The highly nonlinear response of nearly resonant two-level systems is discussed, also in relation to saturation and self-induced transparency. Guided waves in optical fibers are explored, including the propagation of solition pulses. The nonlinear optical response of periodic structures is examined as well. This book is addressed to a broad audience interested in a thorough discussion of basic concepts. It facilitates access to the research literature, and will prepare the reader to tackle more advanced texts.
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Engineering.
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Physical organic chemistry.
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Physics.
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| LC Classification
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QC446.2B935 1991
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| Added Entry
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D L Mills
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