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Nonlinear Optics [electronic resource] : Basic Concepts / by D.L. Mills

Author
Mills, D. L.
Published
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
Edition
1st ed. 1991.
Physical Description
VIII, 184 pages 51 illustrations : online resource
Additional Creators
SpringerLink (Online service)
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Contents
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.
Summary
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 expolisve manner in response to new developments. This has been the case for the fields of optics and atomic physics. In the 1950s, and perhaps into the early 1960s, both fields appeared mature, fully developed, and perhaps even a bit dull as a consequence. The appearance of the laser has tumed both of these fields into dynamic areas of research, within which fundamental and profound questions are being explored. The research of the past two or three decades has led also to very important applications and to new devices. The dye laser, which enables a very narrow line to be tuned over an appreciable spectral range, has led to a virtual revolution in the spec­ troscopy of atoms, molecules, and the condensed phases of matter. A parallel development, readily detectable in the recent literature of theoretical physics, has been the substantial advance in OUf understand­ ing of highly nonlinear phenomena. Numerous texts are devoted to exposition of the theoretical methods which may be used to extract useful information from the important equations encountered in the various fields of physics. A survey of the contemporary literature of nonlinear optics shows that in this area one encounters a large fraction of the basic equations and principles of nonlinear physics.
Subject(s)
ISBN
9783662002131
Digital File Characteristics
PDF
text file
Part Of
Springer Nature eBook
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