Modern optics and photonics : atoms and structured media

CONTENTS......Page 12
Preface......Page 6
PHOTO......Page 10
Part A Quantum Optics......Page 16
1. Introduction......Page 18
2. Closed-Loop Media......Page 19
3. An “Open” Closed Loop System......Page 22
4. Light Propagation in Media with Cross Coupling of Electric and Magnetic Field Component......Page 24
5. Light Propagation in Nuclear Media......Page 26
References......Page 29
1. Introduction......Page 31
2. Existing Proposals for Relativistic HHG......Page 35
3. HHG in a Circularly Polarized Standing Wave......Page 38
3.2. Spectra......Page 41
3.3. Phase matching......Page 43
References......Page 44
1. Introduction......Page 47
2. Two-Particle Quantum Entanglement......Page 48
3. Light Entanglement via Non-linear Four-Wave Mixing Processes......Page 52
4. Spatially Entangled Atomic Deflections in Photon-Number Correlated Light Beams......Page 56
References......Page 61
1. Introduction......Page 63
2. Irreversible Photon Transfer......Page 67
3. Reservoir Tailoring......Page 68
4. Photon Diode......Page 69
References......Page 73
1. Introduction......Page 75
2. Driven Nonlinear Oscillator as an Open Quantum System......Page 77
3. Wigner Function and Poincar´e Section......Page 81
4. Scaling Invariance in Dissipative Chaos......Page 83
5. Quantum Interference Assisted by Chaos......Page 87
References......Page 89
1. Introduction......Page 92
2. Coherent Control of Quantum States of a Tripod-Structured Atom......Page 94
2.1. Coherent transfer of populations and creation of coherent superposition of metastable states......Page 95
3. Control of Atomic Motion......Page 97
4.1. The MOT arrangement......Page 100
4.2. Generation and characterization of chirped pulses......Page 101
4.3. Experimental results on coherent acceleration......Page 103
5. Conclusions......Page 104
References......Page 105
1. Introduction......Page 107
2.1. Eigenvalues and Eigenfunctions......Page 108
2.2. Population probability and coherence function......Page 110
3. Quantum Phases of Light......Page 113
References......Page 117
1. Introduction......Page 118
2. Basic Equations......Page 119
3. Linear Feedback......Page 121
4. Closed-Loop Adiabatics......Page 122
5.1. Slow motion of the controlling parameter......Page 125
6. Conclusion......Page 126
References......Page 127
1. Introduction......Page 129
2. Landau-Zener Transition in Quadratic-Nonlinear Two-State Systems......Page 130
3. Landau-Zener Transition in Cubic-Nonlinear Systems......Page 134
References......Page 142
Part B Photonic and Electronic Phenomena in Structured Media......Page 144
1. Introduction......Page 146
2. Parametric Three-Wave Interaction in Composite Nonlinear Media......Page 148
2.1. Interaction in TE and TM polarization basis......Page 151
3. High-Order  (2) Processes in Superlattice Structures......Page 154
3.1. Vector state in the second-order on  (2)......Page 155
4. Down-Conversion in a Periodically-Poled Structure of Nonlinear and Linear Segments......Page 156
4.1. Compensation of dispersion......Page 157
4.2. Gaussian spectral distribution for twin photons amplitude......Page 159
5. Phase-Reversed Superlattice Structure......Page 160
6. Conclusion......Page 162
References......Page 163
1. Introduction......Page 165
2.1. Silicon photonic wire Bragg gratings......Page 166
2.2. Stop-band closure in photonic wire Bragg-gratings......Page 167
2.3. Photonic crystal/photonic wire micro-/nano-cavities in SOI......Page 169
2.4. Photonic wire ring-resonators and ring-resonator based CROWs......Page 170
3. Novel Photonic Crystal Channel Waveguide Structures for Slow Light......Page 171
4. Fabrication Technology Aspects in Photonic Quasi-Crystals (PQCs)......Page 173
5. Planar Metamaterials Based on Split-Ring Resonator (SRR) Arrays......Page 174
Acknowledgements......Page 178
References......Page 179
1. Introduction......Page 180
2. Electronic States in the SPEQD......Page 182
3. Two-Electronic States in QR......Page 187
4. Excitonic States in QR with Smorodinsky–Winternitz Confining Potential......Page 192
References......Page 195
1. Introduction......Page 197
2. Linear Metal-Dielectric-Metal Waveguides......Page 199
2.1. Lossless slot waveguides......Page 200
2.2. Plasmonic slot waveguides with realistic losses......Page 203
3. Nonlinear E ects in Plasmonic Waveguides......Page 204
3.1. Plasmonic waveguides with a quadratic nonlinear response......Page 205
3.2. Self-focusing in plasmonic structures. Plasmon-soliton generation......Page 207
4. Conclusion......Page 210
References......Page 211
1. Introduction......Page 212
2.0.1. Relations......Page 214
2.0.2. Compatibility of Systems of Relations......Page 215
2.0.3. Decomposition of Relations......Page 216
2.1.1. J. Conway’s game of life......Page 217
2.1.2. Elementary cellular automata......Page 220
3.1. Symmetries of lattices......Page 223
3.3. Basic constituents of discrete dynamical models......Page 225
4. Soliton-like Structures in Deterministic Dynamics......Page 226
5.1. Discrete gauge principle......Page 229
5.2. Gauge connection and quantization......Page 230
5.3. Simple model inspired by free particle......Page 232
5.4. Local quantum models on regular graphs......Page 233
6. Conclusion......Page 234
References......Page 235
1. Introduction......Page 237
2. The Model......Page 238
3. Two Particles in a Lattice......Page 239
3.1. Scattering states......Page 240
3.2. Bound states......Page 242
4.2. Bound states......Page 243
4.3. Effective model......Page 245
4.3.1. Analytic solutions......Page 247
5. Bound Solutions......Page 248
6. Conclusions......Page 249
References......Page 250
1. Introduction......Page 252
2. The Model Of Polaritonic Crystal (PolC)......Page 254
3. Polariton Dispersion in the Cavity Array......Page 258
4. Phase Transition for Low Branch Polaritons......Page 262
5. Polariton Group Velocity......Page 266
Acknowledgments......Page 268
References......Page 269
Part C Nonlinear Optical Effects and Spectroscopy......Page 270
1. Introduction......Page 272
2.1. Design of extremely thin cells with controllable thickness L......Page 275
2.2. Measurement of the thickness L of the ETC......Page 277
2.3. Experimental arrangement for spectroscopic measurements......Page 279
3.1. Key features of resonant absorption in ETC......Page 281
3.2. Low and high laser intensity cases......Page 282
3.3. Resonant fluorescence by ETC......Page 284
3.4. Frequency reference for atomic transitions based on ETC with L =   and L =  /2......Page 290
4.1. Fluorescence of an ETC with L =  /2 in external magnetic field: HLZT method......Page 291
4.2. Fluorescence of an ETC with L =   in external magnetic field: LFZT method......Page 296
4.3. ETC transmission for L =   in external magnetic field: LZT method and comparison with HLZT and LFZT......Page 297
5. Conclusions......Page 300
References......Page 301
1. Introduction......Page 304
2. Experimental Setup......Page 306
3. Theoretical Model......Page 307
4. Analysis of Results......Page 310
5. Conclusions......Page 316
References......Page 317
1. Introduction......Page 319
2. Coherent and Incoherent Interaction Radiation with Atoms......Page 320
3. Photo-Ionization Method......Page 321
4. Photo-Chemical Method......Page 325
5. Chemical Reactions of Atoms in Excited States......Page 328
6. Two-Photon Excitation of Lead Atoms......Page 330
7. Photo-Chemical Separation of Isotopes of Zinc and Rubidium on Single-Photon Scheme......Page 332
8. Photo-Chemical Separation of Isotopes of Zinc on the Two-Photon Scheme......Page 336
References......Page 339
1. Introduction......Page 340
2.1. Complex permittivity materials in THz range......Page 343
2.2. Effective index of PPWG......Page 345
2.3. Effective index of PWCS......Page 347
3. Experiment......Page 349
References......Page 352
1. Introduction......Page 354
2. Chirp of Broadband Similariton......Page 356
3. Similariton-Based Spectral Interferometry and Femtosecond Oscilloscope......Page 361
4. Conclusion......Page 367
References......Page 368
Index......Page 370