1 Introduction
1.1 Nonlinear Susceptibility
1.2 Coherence Functions
1.3 Suppression and Enhancement of FWM Processes
1.4 Double Dressing Schemes of Probe and Four-Wave Mixing Fields
1.5 Spatial Optical Modulation via Kerr Nonlinearities
1.6 Formations and Dynamics of Novel Spatial Solitons
References
2 Ultrafast Polarization Beats of Four-Wave Mixing Processes
2.1 Four-level Polarization Beats with Broadband Noisy Light
2.1.1 Basic Theory
2.1.2 FLPB in a Doppler-broadened System
2.1.3 Photon-echo
2.1.4 Experiment and Result
2.2 Ultrafast Sum-frequency Polarization Beats in Twin Markovian Stochastic Correlation
2.2.1 Basic Theory
2.2.2 Second-order Stochastic Correlation of ASPB
2.2.3 Fourth-order Stochastic Correlation of ASPB
References
3 Raman, Rayleigh and Brillouin-enhanced FWM Polarization Beats
3.1 Attosecond Sum-frequency Raman-enhanced Polarization Beats Using Twin Phase-sensitive Color Locking Noisy Lights
3.1.1 Basic Theory of Attosecond Sum-frequency REPB
3.1.2 Homodyne Detection of Sum-frequency REPB
3.1.3 Heterodyne Detection of Difference-frequency REPB
3.2 Competition Between Raman and Rayleigh-enhanced Four-Wave Mixings in Attosecond Polarization Beats
3.2.1 Basic Theory
3.2.2 Stochastic Correlation Effects of Rayleigh and Raman-enhanced FWM
3.2.3 The Raman and Rayleigh-enhanced Nonlinear Susceptibility in cw Limit
3.2.4 Homodyne Detection of ASPB
3.2.5 Heterodyne Detection of ASPB
3.2.6 Discussion and Conclusion
3.3 Coexisting Brillouin, Rayleigh and Raman-enhanced Four-Wave Mixings
3.3.1 Basic Theory
3.3.2 Homodyne Detection of ASPB
3.3.3 Heterodyne Detection of ASPB
3.3.4 Phase Angle
3.3.5 Discussion and Conclusion
References
4 Multi-Dressing Four-Wave Mixing Processes in Confined and Non-confined Atomic System
4.1 Temporal and Spatial Interference Between Four-Wave Mixing and Six-Wave Mixing Channels
4.2 Intermixing Between Four-Wave Mixing and Six-Wave Mixing in a Four-level Atomic System
4.2.1 Interplay Between FWM and SWM
4.2.2 Discussion
4.3 Coexistence of Four-Wave, Six-Wave and Eight-Wave Mixing Processes in Multi-dressed Atomic Systems
4.3.1 Parallel and Nested Dressing Schemes
4.3.2 Interplay Among Coexisting FWM, SWM and EWM Processes
4.4 Controlled Multi-Wave Mixing via Interacting Dark States in a Five-level System
4.4.1 Basic Theory
4.4.2 Numerical Results
4.4.3 Discussion
4.5 Polarization Interference of Multi-Wave Mixing in a Confined Five-level System
4.5.1 Basic Theory
4.5.2 MWM in Long Cells
4.5.3 MWM in Ultra-thin and Micrometer Cells
4.5.4 Discussion
References
5 Enhancement and Suppression in Four-Wave Mixing Processes
5.1 Interplay among Multi-dressed Four-Wave Mixing Processes
5.2 Observation of Enhancement and Suppression of Four-Wave Mixing Processes
5.3 Controlling Enhancement and Suppression of Four-Wave Mixing via Polarized Light
5.3.1 Theoretical Model and Analysis
5.3.2 Experimental Results
5.4 Enhancing and Suppressing Four-Wave Mixing in Electronm-genetically Induce Transparency Window References
6 Multi-Wave Mixing Processes in Multi-level Atomic System
6.1 Modulating Multi-Wave Mixing Processes via Polarizable Dark States
6.2 Polarization Spectroscopy of Dressed Four-Wave Mixing in a Three-level Atomic System
6.2.1 Various Nonlinear Susceptibilities for Different Polarization Schemes
6.2.2 Nonlinear Susceptibilities for Zeeman-degenerate System Interacting with Polarized Fields
6.2.3 Third-order Density-matrix Elements in Presence of Dressing Fields
6.3 Controlling FWM and SWM in Multi-Zeeman Atomic System with Electromagnetically Induced Transparency
6.3.1 Basic Theory
6.3.2 Dual-dressed EIT
6.3.3 Four-Wave Mixing
6.3.4 Six-Wave Mixing
References
7 Controlling Spatial Shift and Spltting of Four-Wave Mixing
7.1 Basic Theory
7.2 Electromagnetically-induced Spatial Nonlinear Dispersion of Four-Wave Mixing Beams
7.3 Spatial Dispersion Induced by Cross-phase Modulation
7.4 Experimental Demonstration of Optical Switching and Routing via Four-Wave Mixing Spatial Shift
7.4.1 Theoretical Model and Experimental Scheme
7.4.2 Optical Switching and Routing via Spatial Shift
7.5 Controlled Spatial Beamsplitter Using Four-Wave Mixing Images
7.6 Spatial Splitting and Intensity Suppression of Four-Wave Mixing in V-type Three-level Atomic System
References
8 Spatial Modulation of Four-Wave Mixing Solitons
8.1 Basic Theory
8.1.1 Calculation of Double Dressed Cross-Kerr Nonlinear Index of Refraction
8.1.2 Calculation of Analytical Solution of One-dimensional Bright and Dark Spatial Solitons
8.2 Novel Spatial Gap Solitons of Four-Wave Mixing
8.3 Dipole-mode Spatial Solitons of Four-Wave Mixing
8.4 Modulated Vortex Solitons of Four-Wave Mixing
References
Index
