Nonlinear Optics

Some Questions of Gas Laser Theory.- 1. Optical Masers (Lasers).- 2. Content, of Work.- I: Interaction of a Quantum System and an Electromagnetic Field.- 1. Induced Emission in a Strong Monochromatic Field.- 3. Basic Equations.- 4. Kinetics of Induced Transitions.- 5. Induced Emission of Moving Atoms.- 6. Spatial Inhomogeneity of Medium Due to Saturation Effect.- 2. Spontaneous Emission with Induced Transitions Taken into Account.- 7. General Theory.- 8. Spontaneous Emission of Stationary Atoms in an External Field.- 9. Spontaneous Emission of Moving Atoms.- 3. Induced Emission and Absorption of a "Weak" Field in the Presence of a "Strong" Field.- 10. Formulation of Problem.- 11. Forced Emission and Absorption of Weak Field by Stationary Atoms in a Strong Monochromatic Field.- 12. Induced Emission and Absorption of Weak Field by Moving Atoms.- 4. Effect of Atomic Collisions.- 13. Classical Theory of Doppler Broadening of Spectral Lines with Collisions Taken into Account. General Theory.- 14. Doppler Broadening.- 15. Broadening Due to Interactions and Doppler Effect.- 16. On the Relaxation Terms in the Equation for the Density Matrix.- 17. The Saturation Effect with Collisions Taken into Account.- II. Application to Laser Theory.- 5. Monochromatic Generation.- 18. Self-Consistent Problem.- 19. One-Dimensional Laser Model.- 20. Stationary Atoms.- 21. Moving Atoms.- 6. Stability of Monochromatic Generation.- 22. Formulation of Problem.- 23. General Formulas.- 24. Stationary Atoms.- 25. Moving Atoms. Gas Losers.- Appendix. Spectroscopic Applications of Gas Lasers.- Literature Cited.- Interaction of Electromagnetic Fields with Active Media.- 1. Calculation of Polarization of Medium.- 2. One-Dimensional Laser Model. Monochromatic Generation.- 3. Some Properties of Two-Dimensional Active Resonators.- 4. Weak Fields in a Resonator Generating Monochromatic Radiation.- 5. Nonlinear Interaction of Weak Fields in the Presence of a Strong Monochromatic Field in a Traveling-Wave Amplifier.- Summary.- Literature Cited.- Electrodynamics of Lasers with an Open Resonator and Inhomogeneous Filling.- Literature Cited.- Dynamics of a Q-Switched Laser.- 1. Formulation of the Problem. Basic Equations.- 2. Initial Conditions.- 3. Linear Development of Generation. Solution of Equations.- 4. Field Distribution and Dependence on Initial Conditions.- 5. Nonlinear Transverse Development of Generation.- 6. Numerical Integration of Equations.- Summary.- Literature Cited.- Nonlinear Interactions of Electromagnetic Waves in an Active Medium and Their Possible Application to the Development of New Types of Lasers.- 1. Derivation of Equations of Fields in "Resonance Parametic" and "Two-Photon" Lasers. Calculation of Nonlinear.- Polarization with Saturation Taken into Account.- 2. Two-Photon Laser.- 3. Generation of Submillimeter Waves by Two-Quantum Luminescence 183 4. Theory of the "Resonance Parametric" Laser in the Stable Phase Case.- 5. Theory of the "Resonance Parametric" Laser at the Random-Phase Limit.- 6. Discussion of Results and Experimental Approach To Their Realization.- Appendix 1. Quantum-Electrodynamic Description of Multiphoton Processes.- Appendix 2. Nonlinear Interactions with Random Phase. Comparison of Quantum and Semiclassical Descriptions of Nonlinear Interactions.- Literature Cited.