Multi-Wave Mixing Processes From Ultrafast Polarization Beats to ElectromagneticaUy Induced Transparency discusses the interactions of efficient multi-wave mixing (MWM) processes enhanced by atomic coherence in multilevel atomic systems. It covers topics in five major areas: attosecond and femtosecond polarization beats of four-wave mixing (FWM) processes; heterodyne detection of FWM, six-wave mixing (SWM)and eight-wave mixing (EWM) processes; Raman and Rayleigh enhanced polarization beats; coexistence and interactions of MWM processes via electromagnetically induced transparency (EIT); multi-dressing MWM processes.

The book is intended for researchers, advanced undergraduate and graduate students in Nonlinear Optics.

1 Introduction

 1.1 Nonlinear Susceptibility

 1.2 Four-wave Mixing

 1.3 Generalized Resonant MWM in Multi-level Atomic Systems

 1.4 Enhanced Nonlinearity via Electromagnetically Induced Transparency

 References

2 Femtosecond Polarization Beats

 2.1 Effects of Field-correlation on Polarization Beats

2.1.1 PBFS in a Doppler-broadened System

2.1.2 Photon-echo

2.1.3 Experiment and Result

 2.2 Correlation Effects of Chaotic and Phase-diffusion Fields

2.2.1 Photon-echo

2.2.2 Experiment and Result

 2.3 Higher-order Correlations of Markovian Stochastic Fields on

Polarization Beats

2.3.1 HOCPB in a Doppler-broadened System

2.3.2 Photon-echo

2.3.3 Experiment and Result

 References

3 Attosecond Polarization Beats

 3.1 Polarization Beats in Markovian Stochastic Fields

 3.2 Perturbation Theory

 3.3 Second-order Stochastic Correlation of SFPB

 3.4 Fourth-order Stochastic Correlation of SFPB

 3.5 Discussion and Conclusion

 References

4 Heterodyne/Homodyne Detection of MWM

 4.1 Modified Two-photon Absorption and Dispersion of Ultrafast Third-order Polarization Beats

4.1.1 Liouville Pathways

4.1.2 Col0r-locking Stochastic Correlations

4.1.3 Purely Homogeneously-broadened Medium

4.1.4 Extremely Doppler-broadened Limit

4.1.5 Discussion and Conclusion

 4.2 Color-locking Phase Control of Fifth-order Nonlinear

Response

 4.3 Seventh-order Nonlinear Response

 References

5 Raman- and Rayleigh-enhanced Polarization Beats

 5.1 Raman-enhanced Polarization Beats

5.1.1 Chaotic Field

5.1.2 Raman Echo

5.1.3 Phase-diffusion Field

5.1.4 Gaussian-amplitude Field

5.1.5 Experiment and Result

 5.2 Rayleigh-enhanced Attosecond Sum-frequency

Polarization Beats

5.2.1 Stochastic Correlation Effects of RFWM

5.2.2 Homodyne Detection of Sum-frequency RASPB

5.2.3 Heterodyne Detection of the Sum-frequency RASPB

5.2.4 Discussion and Conclusion

 References

6 Coexistence of MWM Processes via EIT Windows

 6.1 Opening FWM and SWM Channels

 6.2 Enhancement of SWM by Atomic Coherence

 6.3 Observation of Interference between FWM and SWM

 6.4 Controlling FWM and SWM Processes

 References

7 Interactions of MWM Processes

 7.1 Competition between Two FWM Channels

 7.2 Efficient Energy Transfer between FWM and SWM Processes

 7.3 Spatial and Temporal Interferences between Coexisting FWM and SWM Signals

 References

8 Multi-dressed MWM Processes

 8.1 Matched Ultraslow Pulse Propagations in Highly-Efficient FWM

8.1.1 Time-dependent, Adiabatic Treatment for Matched Probe and NDFWM Signal Pulses

8.1.2 Steady-state Analysis

8.1.3 Discussion and Outlook

 8.2 Generalized Dressed and Doubly-dressed MWM Processes

8.2.1 Generalized Dressed-(2n 2)WM and Doubly- dressed-(2n 4)WM Processes

8.2.2 Interplays Among Coexisting FWM, SWM, and EWM Processes

 8.3 Interacting MWM Processes in a Five-level System with Doubly-dressing Fields

8.3.1 Three Doubly-Dressing Schemes

8.3.2 Aulter-Townes Splitting, Suppression, and Enhancement

8.3.3 Competition between Two Coexisting Dressed MWM

8.3.4 Conclusion and Outlook

 References

Index