Advances in multi-photon processes and spectroscopy. Volume 15

S. H. Lin, A. A. Villaeys, Yuichi Fujimura, S. H. Lin, A. A. Villaeys, Yuichi Fujimura9812382631, 9789812382634

In view of the rapid growth in both experimental and theoretical studies of multi-photon processes and multi-photon spectroscopy of atoms, ions and molecules in chemistry, physics, biology, materials science, etc., it is desirable to publish an advanced series of volumes containing review papers that can be read not only by active researchers in these areas, but also by those who are not experts but who intend to enter the field. The present series aims to serve this purpose. Each review article is written in a self-contained manner by the expert(s) in the area, so that the reader can grasp the knowledge without too much preparation.

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Table of contents :
Preface……Page 6
Contents……Page 8
Part One: Polarizabilities and Hyperpolarizabilities of Dendritic Systems……Page 9
Polarizabilities and Hyperpolarizabilities of Dendritic Systems……Page 11
Abstract……Page 14
1. Introduction……Page 16
2.1. Aggregate Models……Page 19
2.2. Density Matrix Formalism for Molecular Aggregate under Time-Dependent Electric Field……Page 22
2.3. Nonperturbative (Hyper)polarizabilities and Their Partition into the Contribution of Exciton Generation……Page 25
2.4. Off-Resonant Polarizabilities of Dendritic Aggregates……Page 28
2.5. Off-Resonant Second Hyperpolarizabilities of Dendritic Aggregates……Page 36
2.6. Near-Resonant Second Hyperpolarizabilities of Dendritic Aggregates……Page 43
2.7. Summary……Page 45
3.1. Cayley-Tree-Type Dendrimers with TT-Conjugation……Page 49
3.2. Finite-Field Approach to Static (Hyper)polarizabilities……Page 51
3.3. Hyperpolarizability Density Analysis……Page 55
3.4. Size Dependencies of a and yof Oligomer Models for Dendron Parts……Page 61
3.5. Second Hyperpolarizabilities of Cayley-Tree-Type Phenylacetylene Dendrimers……Page 70
3.6. Summary……Page 75
4.1. Master Equation Approach Involving Explicit Exciton-Phonon Coupling……Page 77
4.2. Analytical Expression of Hyperpolarizability Density……Page 87
4.3. Summary……Page 99
5. Concluding Remarks……Page 100
Acknowledgments……Page 103
References……Page 104
Part Two: Molecules in Intense Laser Fields: Nonlinear Multiphoton Spectroscopy and Near-Femtosecond To Sub-Femtosecond (Attosecond) Dynamics……Page 155
Molecules In Intense Laser Fields: Nonlinear Multiphoton Spectroscopy And Near-Femtosecond To Sub-Femtosecond (Attosecond) Dynamics……Page 157
1 Introduction……Page 158
2 Numerical Methods……Page 162
3 Charge Resonance Enhanced Ionization and Quasistatic Models: One-Electron Systems……Page 166
4 Two-Electron Systems……Page 185
5 Adiabatic State Formalism……Page 194
6 Adiabatic State Population Analysis……Page 200
7 Transfer Matrix Formalism……Page 207
8 High-Frequency Limit……Page 213
9 Conclusion……Page 215
References……Page 217
Part Three: Ultrafast Dynamics and non-Markovian Processes in Four-Photon Spectroscopy……Page 223
Ultrafast Dynamics and non-Markovian Processes in Four-Photon Spectroscopy……Page 225
1 Introduction……Page 229
2 Hamiltonian of chromofore molecule in solvent and basic methods of the resonance four-photon spectroscopy……Page 234
3 Calculation of nonlinear polarization……Page 241
4.1 Non-Markovian relaxation effects in two-pulse RFPS with Gaussian random modulation of optical transition frequency……Page 246
4.2 Transient four-photon spectroscopy of near or overlapping resonances in the presence of spectral exchange……Page 254
4.3 Non-Markovian relaxation effects in three-pulse RFPS……Page 260
5.1 Introduction and the cubic susceptibility in the case of Gaussian-Markovian random modulation of an electronic transition……Page 263
5.2 Model for frequency modulation of electronic transition of complex molecule in solution……Page 265
5.3 Cubic susceptibility for detunings larger than reciprocal correlation time……Page 270
6 Four-photon spectroscopy of superconductors……Page 279
7 Ultrafast spectroscopy with pulses longer than reciprocal bandwidth of the absorption spectrum……Page 284
7.1 Theory of transient RFPS with pulses long compared with reversible electronic dephasing……Page 287
7.2 Nonlinear polarization and spectroscopy of vibronic transitions in the field of intense ultrashort pulses……Page 299
8 Experimental study of ultrafast solvation dynamics……Page 308
8.1 Introduction……Page 310
8.2 Calculation of HOKE signal of R800 in water and D2O……Page 311
8.3 Method of data analysis……Page 317
8.4 Discussion……Page 322
9 Prospect: Spectroscopy of nonlinear solvation……Page 326
9.1 Four-time correlation functions related to definite electronic states……Page 329
9.2 Simulation of transient four-photon spectroscopy signals for nonlinear solvation……Page 332
9.3 Spectral moments of the non-equilibrium absorption and luminescence of a molecule in solution……Page 339
9.4 Broad and featureless electronic molecular spectra……Page 342
9.5 Time resolved luminescence spectroscopy……Page 344
9.6 Time resolved hole-burning study of nonlinear solvation……Page 345
9.7 Stochastic approach to transient spectroscopy of nonlinear solvation dynamics……Page 347
9.8 Summary……Page 352
A Appendix……Page 358