Coherent Control of Four-Wave Mixing

Cover......Page 1
Coherent Control of\rFour-Wave Mixing......Page 4
ISBN 9783642191145......Page 5
Preface......Page 6
Table of Content......Page 10
1 Introduction......Page 14
1.1 Nonlinear Susceptibility......Page 15
1.2 Coherence Functions......Page 16
1.3 Suppression and Enhancement of FWM Processes......Page 19
1.4 Double Dressing Schemes of Probe and Four-Wave Mixing Fields......Page 21
1.5 Spatial Optical Modulation via Kerr Nonlinearities......Page 23
1.6 Formations and Dynamics of Novel Spatial Solitons......Page 28
References......Page 31
2.1 Four-level Polarization Beats with Broadband Noisy Light......Page 36
2.1.1 Basic Theory......Page 38
2.1.2 FLPB in a Doppler-broadened System......Page 45
2.1.3 Photon-echo......Page 47
2.1.4 Experiment and Result......Page 52
2.2 Ultrafast Sum-frequency Polarization Beats in Twin Markovian Stochastic Correlation......Page 57
2.2.1 Basic Theory......Page 58
2.2.2 Second-order Stochastic Correlation of ASPB......Page 63
2.2.3 Fourth-order Stochastic Correlation of ASPB......Page 75
References......Page 89
3.1 Attosecond Sum-frequency Raman-enhanced Polarization Beats Using Twin Phase-sensitive Color Locking Noisy Lights......Page 94
3.1.1 Basic Theory of Attosecond Sum-frequency REPB......Page 96
3.1.2 Homodyne Detection of Sum-frequency REPB......Page 102
3.1.3 Heterodyne Detection of Di .erence-frequency REPB......Page 117
3.2 Competition Between Raman and Rayleigh-enhanced Four-Wave Mixings in Attosecond Polarization Beats......Page 125
3.2.1 Basic Theory......Page 126
3.2.2 Stochastic Correlation Effects of Rayleigh and Raman-enhanced FWM......Page 129
3.2.3 The Raman and Rayleigh-enhanced Nonlinear Susceptibility in cw Limit......Page 137
3.2.4 Homodyne Detection of ASPB......Page 139
3.2.5 Heterodyne Detection of ASPB......Page 145
3.2.6 Discussion and Conclusion......Page 153
3.3 Coexisting Brillouin, Rayleigh and Raman-enhanced Four-Wave Mixings......Page 157
3.3.1 Basic Theory......Page 158
3.3.2 Homodyne Detection of ASPB......Page 161
3.3.3 Heterodyne Detection of ASPB......Page 165
3.3.4 Phase Angle......Page 175
3.3.5 Discussion and Conclusion......Page 177
References......Page 179
4.1 Temporal and Spatial Interference Between Four- Wave Mixing and Six-Wave Mixing Channels......Page 182
4.2 Intermixing Between Four-Wave Mixing and Six-Wave Mixing in a Four-level Atomic System......Page 189
4.2.1 Interplay Between FWM and SWM......Page 190
4.3 Coexistence of Four- Wave, Six- Wave and Eight- Wave Mixing Processes in Multi-dressed Atomic Systems......Page 196
4.3.1 Parallel and Nested Dressing Schemes......Page 198
4.3.2 Interplay Among Coexisting FWM,SWM and EWM Processes......Page 206
4.4 Controlled Multi-Wave Mixing via Interacting Dark States in a Five-level System......Page 211
4.4.1 Basic Theory......Page 212
4.4.2 Numerical Results......Page 221
4.5 Polarization Interference of Multi-Wave Mixing in a  Confined Five-level System......Page 234
4.5.1 Basic Theory......Page 236
4.5.2 MWM in Long Cells......Page 245
4.5.3 MWM in Ultra-thin and Micrometer Cells......Page 251
4.5.4 Discussion......Page 259
References......Page 260
5.1 Interplay Among Multi-dressed Four-Wave Mixing Processes......Page 266
5.2 Observation of Enhancement and Suppression of Four-Wave Mixing Processes......Page 273
5.3.1 Theoretical Model and Analysis......Page 279
5.3.2 Experimental Results......Page 282
5.4 Enhancing and Suppressing Four-Wave Mixing in Electroma-Genetically Induce Transparency Window......Page 286
References......Page 293
6 Multi-Wave Mixing Processes in Multi-level Atomic System......Page 296
6.1 Modulating Multi- Wave Mixing Processes via Polarizable Dark States......Page 297
6.2 Polarization Spectroscopy of Dressed Four-Wave Mixing in a Three-level Atomic System......Page 311
6.2.1 Various Nonlinear Susceptibilities for Different Polarization Schemes......Page 313
6.2.2 Nonlinear Susceptibilities for Zeeman-degenerate System Interacting with Polarized Fields......Page 315
6.2.3 Third-order Density-matrix Elements in Presence of Dressing Fields......Page 319
6.3 Controlling FWM and SWM in Multi-Zeeman Atomic System with Electromagnetically Induced Transparency......Page 327
6.3.1 Basic Theory......Page 328
6.3.2 Dual-dressed EIT......Page 332
6.3.3 Four-Wave Mixing......Page 336
6.3.4 Six-Wave Mixing......Page 341
References......Page 343
7.1 Basic Theory......Page 346
7.2 Electromagnetically-induced Spatial Nonlinear Dispersion of Four-Wave Mixing Beams......Page 350
7.3 Spatial Dispersion Induced by Cross-phase Modulation......Page 359
7.4 Experimental Demonstration of Optical Switching and Routing via Four-Wave Mixing Spatial Shift......Page 364
7.4.1 Theoretical Model and Experimental Scheme......Page 365
7.4.2 Optical Switching and Routing via Spatial Shift......Page 367
7.5 Controlled Spatial Beamsplitter Using Four-Wave Mixing Images......Page 371
7.6 Spatial Splitting and Intensity Suppression of Four-Wave Mixing in V-type Three-level Atomic System......Page 378
References......Page 383
8.1 Basic Theory......Page 386
8.1.1 Calculation of Double Dressed Cross-Kerr Nonlinear Index of Refraction......Page 387
8.1.2 Calculation of Analytical Solution of One-dimensional Bright and Dark Spatial Solitons......Page 393
8.2 Novel Spatial Gap Solitons of Four-Wave Mixing......Page 397
8.3 Dipole-mode Spatial Solitons of Four-Wave Mixing......Page 404
8.4 Modulated Vortex Solitons of Four-Wave Mixing......Page 411
References......Page 421
Index......Page 424