An Introduction to Nonlinear Optics

1. Introduction.- 1.1. The Scope of Optics.- 1.2. Historical Background.- 1.3. Linearity in Optics.- 1.4. Nonlinearity in Other Fields.- 1.5. Nonlinearity in Optics.- 1.6. Scope of this Book.- 2. Background of Nonlinear Optics.- 2.1. Electromagnetic Theory of Light.- 2.2. Electromagnetic Theory of Linear, Isotropic Media.- 2.3. Modes.- 2.4. Geometrical Optics.- 2.5. Quantum Theory of Radiation Process.- 3. Properties of Optical Media.- 3.1. Introduction.- 3.2. Dispersion.- 3.3. Rayleigh Scattering.- 3.4. The Debye-Sears Effect.- 3.5. Birefringence.- 3.6. Zeeman and Stark Effects.- 3.7. Electrostriction and Piezoelectricity.- 3.8. Electrically Induced Birefringence.- 3.9. Optical Activity.- 3.10. Magnetooptical Effects.- 3.11. Fluorescence and the Raman Effect.- 3.12. Intensity-Dependent Optical Phenomena.- 4. Nonlinear Phenomena in Passive Media.- 4.1. Introduction.- 4.2. Electromagnetic Waves in a Nonlinear Dielectric: Method of Solution.- 4.3. The Role of Coherence in Harmonic Generation.- 4.4. The Nonlinear Susceptibility Tensor.- 4.5. Traveling-Wave Second-Harmonic Generation.- 4.6. Index Matching in Birefringent Materials.- 4.7. Boundary Conditions.- 4.8. A Numerical Example.- 4.9. Index Matching as Momentum Conservation.- 4.10. Harmonics Higher than the Second.- 4.11. Optical Rectification.- 4.12. Optical Mixing and Parametric Amplification.- 4.13. Self-Focusing of Optical Beams.- 5. Nonlinear Optical Phenomena in Active Media.- 5.1. Similarities and Contrasts.- 5.2. Raman Processes.- 5.3. Brillouin Scattering.- 5.4. Interactions of Light with Free Electrons.- 5.5. Optical Nonlinearity in Gases.- Appendix. Free and Forced Oscillations in Slightly Nonlinear Systems.