Quantum Aspects of Light Propagation

by Luks, Antonin; Perinova, Vlasta

• ISBN13: 9780387855899
• ISBN10: 0387855890
• Format: Hardcover
• Copyright: 2009-08-01
• Publisher: Springer Verlag

Summary

Quantum Aspects of Light Propagation provides an overview of spatio-temporal descriptions of the electro-magnetic field in linear and nonlinear dielectric media, applied to macroscopic and microscopic theories.Readers will find an introduction to canonical quantum descriptions of light propagation in a nonlinear dispersionless dielectric medium, in addition to linear and nonlinear dispersive dielectric media. These descriptions are regularly simplified by a transition to the one-dimensional propagation, which is illustrated by optical processes. Valuable analyses of quantization in waveguides, photonic crystals and propagation in strongly scattered media are also included, in addition to various optical resonation problems.

Table of Contents

Introduction	p. 1
Origin of Macroscopic Approach	p. 7
Lossless Nonlinear Dielectric	p. 7
Nondispersive Lossless Linear Dielectric	p. 11
Quantization in Terms of a Dual Potential	p. 11
Momentum Operator as Translation Operator	p. 13
Wave Functional Description of Gaussian States	p. 20
Source-Field Operator	p. 23
Continuum Frequency-Space Description	p. 31
Quantum Description of Experiments with Stationary Fields	p. 36
Spatio-temporal Descriptions of Parametric Down-Conversion Experiments	p. 38
From Coupled Quantum Harmonic Oscillators Back to Interacting Fields	p. 64
Macroscopic Theories and Their Applications	p. 85
Momentum-Operator Approach	p. 85
Temporal Modes and Their Application	p. 86
Slowly Varying Amplitude Momentum Operator	p. 88
Space-Time Displacement Operators	p. 102
Generator of Spatial Progression	p. 104
Nonlinear Optical Couplers	p. 110
Dispersive Nonlinear Dielectric	p. 117
Lagrangian of Narrow-Band Fields	p. 117
Propagation in One Dimension and Applications	p. 126
Modes of Universe and Paraxial Quantum Propagation	p. 133
Quasimode Description of Spectrum of Squeezing	p. 133
Steady-State Propagation	p. 137
Approximation of Slowly Varying Envelope	p. 143
Optical Imaging with Nonclassical Light	p. 152
Optical Nonlinearity and Renormalization	p. 173
Quasimode Theory	p. 186
Relation to Quantum Scattering Theory	p. 193
Mode Functions for Fabry-Perot Cavity	p. 200
Atom-Field Interaction Within Cavity	p. 207
Several Sets of Quasimodes	p. 213
Microscopic Theories	p. 223
Method of Continua of Harmonic Oscillators	p. 223
Dispersive Lossy Homogeneous Linear Dielectric	p. 224
Correlation of Ground-State Fluctuations	p. 235
Green-Function Approach	p. 238
Dispersive Lossy Linear Inhomogeneous Dielectric	p. 239
Dispersive Lossy Nonlinear Inhomogeneous Dielectric	p. 242
Elaboration of Linear Theory	p. 245
Optical Field at Dielectric Devices	p. 253
Modification of Spontaneous Emission by Dielectric Media	p. 258
Left-Handed Materials	p. 263
Application to Casimir Effect	p. 280
Microscopic Models as Related to Macroscopic Descriptions	p. 303
Quantum Optics in Oscillator Media	p. 303
Problem of Macroscopic Averages	p. 305
Conservative Oscillator Medium	p. 305
Kramers-Kronig Dielectric	p. 311
Dissipative Oscillator Medium	p. 312
Single-Photon Models	p. 317
Periodic and Disordered Media	p. 321
Quantization in Periodic Media	p. 321
Classical Description of Electromagnetic Field	p. 322
Modal Functions	p. 323
Method of Coupled Modes	p. 331
Normalized Modes of the Electromagnetic Field	p. 334
Quantization in Linear Nonhomogeneous Nonconducting Medium	p. 342
Corrugated Waveguides	p. 349
Lossless Propagation in a Waveguide Structure	p. 351
Coupled-Mode Theory Including Gain or Losses	p. 359
Photonic Crystals	p. 378
Quantization in Disordered Media	p. 393
Quantization in Chaotic Cavity	p. 394
Open Systems Approach	p. 398
Semiclassical Approach	p. 404
Propagation in Amplifying Random Media	p. 408
Strongly Scattering Media	p. 408
Incoherent and Coherent Random Lasers	p. 414
Modal Decomposition in Optical Resonators	p. 444
Chaotic Resonators	p. 445
Conclusions	p. 453
References	p. 457
Index	p. 475
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