Partial table of contents: PART I: GENERAL CONCEPTS AND METHODS OF NONLINEAR OPTICS. Electromagnetic Fields. Classical Description. The Quantized Free Radiation Field. Interaction Between Radiation and Matter. Semiclassical Description of Nonlinear Optics. Statistical and Coherence Properties of the Radiation Field and Their Measurement. Nonstationary Processes. PART II: EFFECTS AND PROCESSES OF NONLINEAR OPTICS. Nonlinear One--photon Processes in Lasers. Nonlinearities in Transient One--photon Processes. Nonlinearities and Qunatum Phenomena in Transient One--photon Processes. Multiphoton Absorption and Emission. Generation of Harmonics and Sum and Difference Frequencies. Parametric Amplification and Oscillation. Stimulated Raman Scattering. Optical Bistability. APPENDIX A: Compilation of Quantum--Theoretical Definitions and Relations. General References. Index.
Partial table of contents: PART I: GENERAL CONCEPTS AND METHODS OF NONLINEAR OPTICS. Electromagnetic Fields. Classical Description. The Quantized Free Radiation Field. Interaction Between Radiation and Matter. Semiclassical Description of Nonlinear Optics. Statistical and Coherence Properties of the Radiation Field and Their Measurement. Nonstationary Processes. PART II: EFFECTS AND PROCESSES OF NONLINEAR OPTICS. Nonlinear One--photon Processes in Lasers. Nonlinearities in Transient One--photon Processes. Nonlinearities and Qunatum Phenomena in Transient One--photon Processes. Multiphoton Absorption and Emission. Generation of Harmonics and Sum and Difference Frequencies. Parametric Amplification and Oscillation. Stimulated Raman Scattering. Optical Bistability. APPENDIX A: Compilation of Quantum--Theoretical Definitions and Relations. General References. Index.
Selected topics related to the fundamentals of nonlinear optics are discussed. First, a brief description on the theory of nonlinear optical susceptibilities is given. Emphasis is on the basic properties, on the recently developed bond theory, and on the dispersion of nonlinear susceptibilities. Then the coupled wave approach is discussed. It is shown that the transverse resonant excitation in material can be treated as a material excitational wave, and most nonlinear optics problems can be understood as results of coupling between em waves or em and material excitational waves. A number of examples of current interest are presented. These include sum- and difference-frequency generation, Raman scattering by coherent excitation, stimulated Raman and stimulated polariton scattering, four-wave mixing, and vibrational relaxation measurements. Finally, the physical distinction between laser emission and resonant stimulated Raman scattering in an optically pumped three-level system are considered. A similar problem on the distinction of hot luminescence and resonant Raman scattering has recently attracted much attention. It is shown that the hot laser action is connected directly with the population inversion, while the resonant stimulated Raman scattering is connected with transverse excitation. The problem is, however, more complicated for a multi-level system. (auth)
Photons and ElectronsHistorical SketchThe Wave Nature of LightPolarizationThe Electromagnetic SpectrumEmission and Absorption ProcessesPhoton Statistics The Behaviour of Electrons LasersSummaryWave Properties of LightThe Electromagnetic SpectrumWave RepresentationElectromagnetic WavesReflection and RefractionTotal Internal ReflectionInterference of LightLight WaveguidingInterferometersDiffractionGaussian Beams and Stable Optical ResonatorsPolarization OpticsThe Polarization EllipseCrystal OpticsRetarding WaveplatesA Variable Waveplate: The Soleil-Babinet Compensator Polarizing PrismsLinear BirefringenceCircular BirefringenceElliptical BirefringencePractical Polarization EffectsPolarization AnalysisThe Form of the Jones MatricesLight and Matter Emission, Propagation, and Absorption ProcessesClassical Theory of Light Propagation in Uniform Dielectric Media Optical Dispersion Emission and Absorption of LightOptical Coherence and CorrelationIntroductionMeasure of Coherence Wiener-Khinchin TheoremDual-Beam Interference Practical Examples Some Essential Physics of Radiation and Solids RadiationElectrons in Solids Optical Sources, Modulators, and DetectorsOptical SourcesOptical ModulatorsPhotodetectorsOptical WaveguidesThe Planar Waveguide Integrated OpticsCylindrical WaveguidesOptical FibresOptical Fibres for CommunicationsPolarization-Holding Waveguides Photonic Crystal FibresNonlinear OpticsNonlinear Optics and Optical FibresThe Formalism of Nonlinear OpticsSecond-Harmonic Generation and Phase MatchingOptical MixingIntensity-Dependent Refractive IndexFour-Photon Mixing (FPM)Parametric and Inelastic ProcessesSolitonsPhotosensitivityNon-Linear Effects in Photonic Crystal Fibres (PCF)Photonics in ActionAntireflective Coatings Optical-Fibre Current MeasurementThe Integrated Optical Spectrum AnalyserThe Audio Compact Disc (CD) The Optical-Fibre GyroscopeHolographyOptical-Time-Domain Reflectometry (OTDR) and Its Use in Distributed Optical-Fibre Raman Temperature Sensing (DTS)Measurement of Very Short Optical Pulses: The AutocorrelatorTopics in Optical-Fibre CommunicationsRegimes-Correlation LengthEpilogue And What of the Future?AppendicesAppendix I: Maxwell's EquationsAppendix II: The Fourier Inversion TheoremAppendix III: Symmetry of the Permittivity TensorAppendix IV: The Polarization EllipseAppendix V: Radiation from an Oscillating DipoleAppendix VI: The d-FunctionAppendix VII: The Fermi-Dirac Function Appendix VIII: Second Harmonic Generation Appendix IX: The Sampling TheoremAppendix X: The Semiconductor EquationAppendix XI: The Formal Analysis of Polarization-Mode Dispersion (PMD)ReferencesEach chapter includes an introduction, conclusion, problems, references, and suggestions for further reading.
W1 Resonant Pulse Propagation I.- W1-1 Some Nonlinear Properties of Pulse Propagation.- W1-2 Self-Induced Transparency in the Broadline and Narrowline Limits and Applications.- W1-3 Observation of Zero-Degree Pulse Propagation in a Resonant Medium.- W1-4 Higher Conservation Laws and Coherent Pulse Propagation.- W2 Quantum Electrodynamics and Alternative Theories I.- W2-1 Survey of the Present Status of Neoclassical Radiation Theory.- W2-2 A Test of Jaynes' Neoclassical Theory: Incoherent Resonance Fluorescence from a Coherently Excited State.- W2-3 Experimental Limitations to the Validity of Semiclassical Radiation Theories.- W2-4 Time Delay Statistics of Photoelectric Emissions: An Experimental Test of Classical Radiation Theory.- W3 Coherence Effects in Spontaneous Emission I.- W3-1 Non-Linear Radiation Reaction.- W3-2 Master Equations in the Theory of Incoherent and Coherent Spontaneous Emission.- W3-3 Influence of Resonant Frequency Shifts on Superradiant Damping.- W3-4 Spontaneous Emission Rate in the Presence of a Mirror.- W4 Coherence I.- W4-1 Atomic Coherent States in Quantum Optics.- W4-2 Coherent States in Modern Physics.- W4-3 Debye Representation and Multipole Expansion of the Quantized Free Electromagnetic Field.- W4-4 Volume of Coherence.- T1 Quantum Electrodynamics and Alternative Theories II.- T1-1 A Quantum Treatment of Spontaneous Emission without Photons.- T1-2 Finite Quantum and Classical Electrodynamics.- T1-3 The Use of Classical Solutions in Quantum Optics.- T1-4 Raman Effect in Semiclassical Theory.- T2 Light Scattering I.- T2-1 Theory of Resonant Light Scattering Processes in Solids.- T2-2 A Generalized Extinction Theorem and Its Role in Scattering Theory.- T2-3 Mode Analysis and Mode Coupling of Electromagnetic Fields in Spatially Dispersive Media.- T2-4 Amplitude Stabilization of Pulses from a Q-Switched Ruby Laser by Means of Interaction with a Non-Linear Medium.- T3 Correlation and Fluctuation Measurements.- T3-1 Two-Photon Time Distributions in Mixed Light Beams.- T3-2 Photocounting Inversion in Presence of Dead Time Effects.- T3-3 Image Reconstruction from the Modulus of the Correlation Function: A Practical Approach to the Phase Problem of Coherence Theory.- T3-4 Photon-Correlation Spectroscopy.- T3-5 Multi-Time Intervals Distributions of Photoelectrons from Stationary Pseudo-Thermal Light with Gaussian Spectrum.- T4 Light Scattering II.- T4-1 Adventures in Green's Land: Light Scattering in Anisotropic Media.- T4-2 Intensity Fluctuation Techniques in Light Scattering.- T4-3 Coherence Properties of Light through a Liquid Crystal.- T4-4 C. Non-Critical Rayleigh Scattering from Pure Liquids.- T5 Coherence Effects in Spontaneous Emission II.- T5-1 Cooperative Effects in Spontaneous Emission.- T5-2 Amplified Spontaneous Emission.- T5-3 Non-Gaussian Statistics of Superradiant Radiation from Saturated Xenon 3.5?m Laser Amplifier.- T5-4 On the Theory of Radiating Electrons.- T6 Coherent Light Interactions.- T6-1 Atomic and Molecular Spectroscopy by Saturation with Coherent Light.- T6-2 Response Functions for Strongly Driven Systems.- T6-3 Mechanism of Interaction of Picosecond Light Pulses with Matter Yielding Self-Trapping.- T6-4 Resonance Fluorescence Lineshapes with Intense Applied Fields.- T6-5 Electron Beams as Carriers of Optical Coherence.- T7 Lasers.- T7-1 Detuned Single Mode Laser and Detailed Balance.- T7-2 Tunable Raman Lasers.- T7-3 Dye Lasers: Recent Advances in Tunable Systems.- F1 Quantum Electrodynamics and Alternative Theories III.- F1-1 A Theory of Light without Photons: Implications from Fermis to Light Years.- F1-2 Blackbody Heat Capacity and Action-at-a-Distance Electrodynamics.- F1-3 The Implications of Radiative Equilibrium in Jaynes' Extension of Semiclassical Radiation Theory.- F1-4 A Quantum Electrodynamic Investigation of the Jaynes-Crisp-Stroud Approach to Spontaneous Emission.- F1-5 Critical Comments on Radiation Theory.- F2 Resonant Pulse Propagation II.- F2-1 Cooperative Phenomena in Resonant Propagation.- F2-2 Theory of Sub-Cooperation-Limit Optical Pulses in Resonant Absorbers.- F2-3 Multiple Pulse Chirping in Self-Induced Transparency.- F2-4 Coupled Superradiance Master Equations: Application to Fluctuations in Coherent Pulse Propagation in Resonant Media.- F3 Coherence II.- F3-1 The Laser-Phase Transition Analogy - Recent Developments.- F3-2 Multiple-Time-Scale Analysis of Coherent Radiation.- F3-3 Orthogonal Operators and Phase Space Distributions in Quantum Optics.- F4 Coherence Effects in Spontaneous Emission III.- F4-1 Radiation by Many Excited Atoms between Mirrors.- F4-2 Transient Coherent Emission.- F4-3 Superradiance from a System of 3-Level Particles.- F4-4 A Quantum Electrodynamic View of Superradiance as a Competition between Stimulated and Spontaneous Atomic Decay.- F5 Post Deadline Session.- F5-1 Third- and Higher-Order Intensity Correlations in Laser Light.- F5-2 Correlation Function of a Laser Beam near Threshold.- F5-3 Localization of Photons.- F5-4 Adiabatic Following and the Self-Defocusing of Light in Rubidium Vapor.- F5-5 Experimental Evidence of an X-Ray Laser.- F5-6 Quantum Theory of Photodetection and Coherence Properties of Electrons.- F5-7 Statistics of Light Scattered by Non-Gaussian Fluctuations.- F6 Quantum Noise.- F6-1 Unified Thermodynamics of Dissipative Structures and Coherence in Nonlinear Optics.- F6-2 The Approach to Thermal Equilibrium in Systems of Coupled Quantum Oscillators Initially in a Generalized Gaussian State.- F6-3 Comparison between Incoherent and Chaotic Sources: Contribution to the Study of the Origin of Bunching Effect.- F6-4 Self-Pulsing in Laser Amplification of Broadband Noise.- Author Index.
Nonlinear optics is the study of the response of dielectric media to strong optical fields. The fields are sufficiently strong that the response of the medium is, as its name implies, nonlinear. That is, the polarization, which is the dipole moment per unit volume in the medium, is not a linear function of the applied electric field. In the equation for the polarization, there is a linear term, but, in addition, there are terms containing higher powers of the electric field. This leads to significant new types of behavior, one of the most notable being that frequencies different from that of the incident electromagnetic wave, such as harmonics or subharmonics, can be generated. Linear media do not change the frequency of light incident upon them. The first observation of a nonlinear optical effect was, in fact, second-harmonic generation – a laser beam entering a nonlinear medium produced a second beam at twice the frequency of the original. Another type of behavior that becomes possible in nonlinear media is that the index of refraction, rather than being a constant, is a function of the intensity of the light. For a light beam with a nonuniform intensity profile, this can lead to self-focusing of the beam. Most nonlinear optical effects can be described using classical electromagnetic fields, and, in fact, the initial theory of nonlinear optics was formulated assuming the fields were classical. When the fields are quantized, however, a number of new effects emerge. Quantized fields are necessary if we want to describe fields that originate from spontaneous emission. For example, in a process known as spontaneous parametric down-conversion, a beam of light at one frequency, the pump, produces a beam at half the original frequency, the signal. This second beam is a result of spontaneous emission.
This chapter describes the formation, development, and major subjects of nonlinear optics and photonics. The semiclassical theory treats the light as a classical electromagnetic field governed by Maxwell equations, while the optical medium is a molecular system governed by quantum mechanics; the key parameters for this theory are various-order nonlinear susceptibilities. The quantum theory of radiation treats light as an ensemble of photons and the medium as a molecular system, both of which are described by quantum mechanics, and the key aspect is the concept of the so-called intermediate state represented by a virtual energy state level. The semiclassical theory gives a concise quantitative description of various nonlinear multi-wave mixing effects as well as those nonlinear processes related to the induced refractive-index changes. In contrast, the quantum theory of radiation can provide a conceptual interpretation for almost all known nonlinear optical effects and phenomena.
A treatment of nonlinear optical phenomena beginning with a microscopically correct Hamiltonian containing the Bose operators of the light field and the Fermi operators for the optically active electrons in the medium is presented. Using techniques recently developed, a nonperturbative solution to the Schrodinger equation is possible. No linearization or semiclassical approximations are introduced. Two photon emission and absorption including both the degenerate and nondegenerate cases are considered. Parametric amplification and frequency conversion are investigated as examples of multiphoton processes. Atomic cooperation is shown to enhance the above phenomena. A formal treatment of a model illustrating super and subradiance is included.