Nonlinear Optics: Basic Concepts (Paperback, 2)

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.- 4.4.1 Four Wave Mixing Spectroscopy.- 4.4.2 Optical Phase Conjugation.- 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 Schrodinger Equation.- 7.3 Linear Theory of Pulse Propagation in a Dispersive Medium: Application to Optical Fibers.- 7.4 Solitons and the Nonlinear Schrodinger Equation.- 7.5 Gap Solitons in Nonlinear Periodic Structures.- Problems.- 8. Nonlinear Optical Interactions at Surfaces and Interfaces.- 8.1 Second-Harmonic Generation from Surfaces; General Discussion.- 8.2 Nonlinear Optical Interactions at Surfaces and Interfaces; Examples.- 8.2.1 Second-Harmonic Generation from Clean Crystal Surfaces.- 8.2.2 Second-Harmonic Generation from Adsorbate Layers on Surfaces.- 8.2.3 The Generation of Sum Frequencies from Adsorbates on Surfaces.- 8.3 Resonant Enhancement of Electromagnetic Fields Near Surfaces and Interfaces and Their Role in Surface Nonlinear Optics.- 8.3.1 Resonant Enhancement of Electric Fields Near Small Conducting Spheres.- 8.3.2 Resonant Response of a Slightly Roughened Surface to Electromagnetic Fields; The Role of Surface Polaritons.- 8.3.3 Resonant Enhancement of Electromagnetic Fields Near Rough Surfaces of Conducting Media.- 8.4 Experimental Studies of Surface Enhanced Nonlinear Optical Interactions.- Problems.- 9. Optical Interactions in Magnetic Materials.- 9.1 Introductory Remarks.- 9.2 Electromagnetic Wave Propagation in Ferromagnetic Materials; Faraday Rotation and the Cotton-Mouton Effect.- 9.2.1 Propagation Parallel to the Magnetization; Faraday Rotation and the Kerr Effect.- 9.2.2 Propagation Perpendicular to Magnetization; the Cotton Mouton Effect.- 9.2.3 Final Remarks.- 9.3 Second-Harmonic Generation from Magnetic Materials; Surface Effects.- 9.4 Dynamic Response of the Magnetization and the Origin of Nonlinear Magnetooptic Interactions.- 9.4.1 General Remarks.- 9.4.2 Collective Excitations (Spin Waves) in Magnetic Materials; Ferromagnets as an Example.- 9.4.3 Surface Spin Waves on Ferromagnetic Surface; the Damon Eshbach Mode and Non Reciprocal Propagation on Magnetic Surfaces.- 9.5 Nonlinear Interaction of Light with Spin Waves in Ferromagnets.- 9.5.1 Brillouin Scattering of Light by Thermally Excited Spin Waves.- 9.5.2 Nonlinear Mixing of Light with Macroscopic Spin Waves; the Magneto-optic Bragg Cell as an Example.- Problems.- 10. Chaos.- 10.1 Duffing Oscillator: Transition to Chaos.- 10.2 Routes to Chaos.- 10.3 Expe