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Mukamel S. — Principles of Nonlinear Optical Spectroscopy
Mukamel S. — Principles of Nonlinear Optical Spectroscopy



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Название: Principles of Nonlinear Optical Spectroscopy

Автор: Mukamel S.

Аннотация:

This textbook presents a systematic and unifying viewpoint for a wide class of nonlinear spectroscopic techniques in time domain and frequency domain. It is directed towards active researchers in physics, optics, chemistry, and materials science, as well as graduate students who enter this complex and rapidly developing field.
Nonlinear optical interactions of laser fields with matter provide powerful spectroscopic tools for the understanding of microscopic interactions and dynamic processes. One of the major obstacles facing researchers in this field, however, is the flood of experimental techniques and terminologies, which create a serious language barrier. The general microscopic correlation function approach to the nonlinear optical response developed in this book is essential for understanding the relationships among different techniques and a comparison of their information content, the design of new measurements, and for a systematic comparison of the optical response of different systems such as dyes in solutions, atoms and molecules in the gas phase, liquids, molecular aggregates and superlatives, and semiconductor nanostructures. The approach is based on formulating the nonlinear response by representing the state of matter by the density matrix and following its evolution on Liouville space. Current active research areas such as femtosecond time-domain techniques, semi-classical and wave-packet dynamics, pulse shaping, pulse locking, exciton confinement, and the interplay of electronic, nuclear and field coherence are emphasized.
The material has been developed from the author's highly successful interdisciplinary course at the University of Rochester attended byscience and engineering graduate students.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 576

Добавлена в каталог: 20.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Dielectric continuum approximation      237
Dielectric fluctuations, in polar medium, cumulant expansion and      234 236—237
Dielectric function      94 128 236
Differential photon scattering      267—269
Dimensionless momentum      218
Dipole      93 191
Dipole, approximation      107 112 113
Dipole, correlation functions      199
Dipole, coupling, in Heisenberg picture      139
Dipole, matrix elements      148 160
Dipole, moment      52
Dipole, moment operator      107
Dipole, operators      113 115 127 170
Dipole, time-independent, coupling in Liouville space      114
Dipole, transition, matrix elements      220 471
Dipole, transition, moments      500
Dipole-dipole interactions      295 463
Dipole-dipole interactions in Heitler — London approximation      483
Dipole-dipole interactions, coupling      479
Dipole-dipole tensor      463
Dirac $\delta$-function      105 193
Direct scattering (Raman)      4f
Discrete set of oscillators      217—221
Distributions, theory of      194
Distributivity, addition rule for      40
Distributivity, multiplication rule for      40
Distributivity, scalar product rule for      41
Divergence      104
Doorway operators      375
Doorway wavepackets      369 375 376.See
Doorway wavepackets for off-resonant birefringence and dichroism      455
Doorway wavepackets in Liouville space      372
Doorway wavepackets in snapshot limit      379 396—398
Doorway wavepackets, excited-state      384
Doorway wavepackets, ground-state      362
Doorway wavepackets, ground-state, effective Hamiltonian derivation for      426 441—443
Doorway wavepackets, ground-state, off-resonance spectroscopy and      384
Doorway wavepackets, off-resonant      385
Doorway wavepackets, second-rank tensor      452
Doorway-window wavepacket representation for pump-probe spectroscopy      133 415
Doorway-window wavepacket representation for well separated pulses      373—377 375f
Doorway-window wavepacket representation in frequency domain      365—366
Doorway-window wavepacket representation in reduced space      385
Doorway-window wavepacket representation of nonlinear response function      359—363
Doorway-window wavepacket representation, basis for      322
Doorway-window wavepacket representation, classical simulations and      346
Doorway-window wavepacket representation, Louville space pathways and      446
Doorway-window wavepacket representation, off-resonance Raman scattering and      414
Double commutator      164
Double-sided Feynman diagrams      See Feynman diagrams double-sided
Dressed states      112 182
Driven anharmonic oscillator model      13 469—475 474f
Drude oscillator      13
Drude oscillator, formula      475
Drude oscillator, model      232
Drude oscillator, picture      See Harmonic oscillators
Dye resorufin in a polar solvent (DMSO)      308 308f
dynamic variables      160
Dyson equation      34 39 65
Echo response function      299
Effective Liouville operator      68 149
Eigenstates      169 215
Eigenstates and highly resolved spectra in simple quantum systems      143
Eigenstates for partitioned Hamiltonian      37
Eigenstates of Hamiltonian      17 60 65 148
Eigenstates of macroscopic systems      13
Eigenstates of single small particle      144
Eigenstates, bath Hamiltonian      176
Eigenstates, electronic, expansion of      269
Eigenstates, expansion      209 269
Eigenstates, linear response in Liouville space and      147—149
Eigenstates, nuclear, expansion of      270
Eigenstates, nuclear, Liouville space-generating function expansion      364
Eigenstates, representation of Hilbert space Green function      32
Eigenstates, representation of Liouville space Green function      147
Eigenstates, single exciton      493
Eigenstates, vibronic      345
Eigenvalues      17 19 37 60 499
Eigenvectors      17 19
Electric current operator      82
Electric displacement operator      85
electric field      113 114 324
Electric field in coherent Raman spectroscopy      415
Electric field, classical transverse      112
Electric field, polarization      86 269
electromagnetic field      79
Electromagnetism theory      79
Electronic coherences      199 441
Electronic degeneracy      210
Electronic dephasing      169 244 411 454
Electronic energy gap      225 227 240
Electronic energy gap, coherent nuclear motions and      218
Electronic energy gap, collective nuclear coordinate for      191
Electronic energy gap, solvation coordinate      236
Electronic energy gap, stochastic Gaussian Markov modulation of      225
Electronic energy gap, thermally averaged      211
Electronic polarization Kerr effect      446 447f
Electronic systems, coupling to harmonic vibrations, coherent nuclear motions and      217—221 220f
Electronic systems, two-level      See Two-electronic level systems
Electronic transition      190
Electronic transition, dipole operator      189
Electronic transition, frequency      158 243
Electronic transition, static distribution of      290
Electrostatic interaction      87 236
Elementary bond breakage      11f
Emission lineshapes      250—252
Energy flux      90
entropy      134—135
Equations of motion      See also specific equations of motion
Equations of motion in Hilbert space vs. Liouville space      58f
Equations of motion, semiclassical, for Liouville space-generating functions      351—355
Equilibrium two-time correlation      414
Euler angles      449 450
Euler equations      458
Evolution operator      185
Excited state, coherent anti-Stokes Raman spectroscopy (CARS)      130 280 281—282 285
Excited state, doorway wavepackets      384
Excited state, Hamiltonian      169
Excited state, inverse lifetime      271
Excited state, manifold      245
Excited state, populations      411
Excited state, resonance      283
Exciton, coherence size      506
Exciton, coherence size, temperature variation      481 482f
Exciton, confinement      480—481 481f
Exciton, dephasing      516—517
Exciton, migration      479
Exciton, population relaxation      516
Exciton, population variables      507—512 511f 512f
Exciton, population variables, for Green function solution, factorized approximations for      490
Exciton, transport      507—508
Exciton, transport, in phase space      508—510
Exciton-exciton interactions      513—514
Exciton-phonon coupling, stochastic model of      517
Exciton-phonon interaction      516
Existence of zero vector      40
Expansion of vector, in Hilbert space vs. Liouville space      58f
expectation values      354 357 414
Exponential energy gap, time-ordered      200
Extended systems, optical response, nonlocal expressions for      123—124
Extinction coefficient      95
Fast dephasing      203
Fast modulation limit      223 306
Femtosecond spectroscopy      328
Femtosecond spectroscopy, laser sources      328
Femtosecond spectroscopy, pulse shaping, high-resolution      423 423f
Femtosecond spectroscopy, pulse shaping, techniques      423
Femtosecond spectroscopy, Raman techniques      294 417—418 428
Fermi Golden Rule      146 250
fermions      514
Feynman diagrams      137 144 156
Feynman diagrams, double-sided      153—154 154f—155f 157f 159
Feynman diagrams, double-sided, for phase-locked spontaneous light emission      311
Feynman diagrams, double-sided, for probe absorption      327f 374
Feynman diagrams, double-sided, for response function in RWA      298f 326
Feynman diagrams, double-sided, for sequential pump-probe spectroscopy      326—327 327f
Feynman diagrams, double-sided, for spontaneous light emission processes      267 268f
Feynman diagrams, double-sided, for time-domain four-wave mixing in two-level system      297 298f
Feynman diagrams, double-sided, in three-level system      394 394f 396
Feynman diagrams, double-sided, of absorption      220 220f
Feynman diagrams, double-sided, of relaxed fluorescence      220 220f
Feynman diagrams, one-sided      156
Feynman — Vernon influence functional      356
Field amplitudes      375
Field intensity      90 95 174
Field operators      91
Fifth-order polarization      434
First-order perturbation theory      483
Floquet expansion      112
Fluctuation-dissipation theorem      143 144f 242 423
Fluctuation-dissipation theorem in semiclassical simulations      242
Fluctuation-dissipation theorem, Brownian oscillator parameters for polar solvent and      253—254
Fluctuation-dissipation theorem, description of      146 147f
Fluctuation-dissipation theorem, multimode Brownian oscillator model and      228
Fluctuation-dissipation theorem, spectral density and      215
Fluctuation-dissipation theorem, stochastic models and      225
Fluorescence      133 261—262
Fluorescence, absorption of quantum field      262—264 263f
Fluorescence, anisotropy      445 453
Fluorescence, emission      250
Fluorescence, excitation spectrum      9f 10f 290
Fluorescence, excitation spectrum, of rhodamine      194 195f
Fluorescence, line narrowing      338 388—389
Fluorescence, line narrowing, inhomogeneous broadening and      294
Fluorescence, line narrowing, time-dependent Stokes shift      372
Fluorescence, Raman spectroscopy and      271—279 272f 274f—279f
Fluorescence, spontaneous light emission spectroscopy and      See Spontaneous light emission spectroscopy (SLE)
Fokker — Planck equation for doorway-window representation of nonlinear response function      362
Fokker — Planck equation for Liouville space wavepackets      357 358 359
Fokker — Planck equation, rotational      446 453 458—459
Forster energy transfer      479
Forward propagation      32
Four-mode system, photon echoes for      306 307f 308
Four-wave mixing      4f 116 295
Four-wave mixing in semiconductor      7 9f
Four-wave mixing, coherent Raman spectroscopy      See Coherent Raman spectroscopy
Four-wave mixing, degenerate      175 282 509
Four-wave mixing, degenerate, time-domain analogue of      510—512 511f 512f
Four-wave mixing, femtosecond      432
Four-wave mixing, pressure-induced extra resonance in      282
Four-wave mixing, resonant, frequency factors for      297t
Four-wave mixing, resonant, in time-domain      322
Four-wave mixing, resonant, non-time-ordered      323—324
Four-wave mixing, resonant, paths for      297;
Four-wave mixing, resonant, wavevectors for      297r
Four-wave mixing, tensorial aspects of      446
Four-wave mixing, third-order nonlinearities and      4—5
Four-wave mixing, three-pulse time-domain      296 296f
Four-wave mixing, time-domain, classification of      295—299 296f 297f 298f
Four-wave mixing, time-domain, in two-level system, double-sided Feynman diagrams for      297 298f
Four-wave mixing, time-domain, resonant      322
Four-wave mixing, time-integrated      474 474f
Four-wave mixing, transient grating      See Transient grating
Fourier decomposition      125
Fourier transforms      34
Fourier transforms for nonlinear response functions      129
Fourier transforms for off-resonance Raman scattering      430—432
Fourier transforms in nonlinear spectroscopies      322
Fourier transforms in phase averaging      191 199
Fourier transforms in Raman techniques      414
Fourier transforms in semiclassical simulations      242
Fourier transforms of time evolution operator      31—32
Fourier transforms, absorption lineshape and      290
Fourier transforms, definition of      228
Fourier transforms, Green function, in Hilbert space      33 34
Fourier transforms, Green function, in Liouville space vs. Hilbert space      64 65
Fourier transforms, nonlinear response in momentum (k) space      124—125
Fourier transforms, of correlation function      256
Fourier transforms, one-sided      120
Fourier transforms, relationships between pump-probe and hole-burning spectroscopies      340—343 342f
Fourier transforms, spatial      105
Fourier transforms, time- vs. frequency-domain techniques      5 13 134
Fourier transforms, using contour integration      229
Franck — Condon principle      202—203 338 398 403—406
Free radiation-field Hamiltonian      81
Freedom, degrees of      132
Frenkel exciton model      504 513 514
Frequency sum generation      116
Frequency-dependent dielectric function, of solid      253
Frequency-dependent wavepackets      416
Frequency-domain spectroscopy      31—32 117 124 127 145 168 171 214 219 244 322
Frequency-domain spectroscopy, advanced Green function in      33
Frequency-domain spectroscopy, coherent Raman scattering      417—429
Frequency-domain spectroscopy, doorway-window picture      365—366
Frequency-domain spectroscopy, homogeneous broadening      343
Frequency-domain spectroscopy, ideal      129
Frequency-domain spectroscopy, impulsive coherent anti-Stokes Raman      420 421f
Frequency-domain spectroscopy, inhomogeneous broadening and      343
Frequency-domain spectroscopy, lineshape function      150
Frequency-domain spectroscopy, Liouville space pathways in      120—122
Frequency-domain spectroscopy, Liouville space pathways in, linear response      121
Frequency-domain spectroscopy, Liouville space pathways in, second-order response      121
Frequency-domain spectroscopy, Liouville space pathways in, third-order response      122
Frequency-domain spectroscopy, nth order response function in      120—121
Frequency-domain spectroscopy, nuclear susceptibility      360
Frequency-domain spectroscopy, optical susceptibilities      244 245
Frequency-domain spectroscopy, Raman measurements      412
Frequency-domain spectroscopy, Raman techniques, dynamic approach to coherent Raman Frequency-domain spectroscopy, scattering and      414—422 421f
Frequency-domain spectroscopy, spontaneous light emission      267—271
Frequency-domain spectroscopy, spontaneous Raman scattering      417—429
Frequency-domain spectroscopy, techniques      13
Function, of an operator      17—18
Gauge transformation      80 84
Gaussian distribution      224 287 293
Gaussian distribution of transition frequencies      187
Gaussian distribution with Stokes shift      223
Gaussian distribution, inhomogeneous broadening      232 235f 338
Gaussian distribution, lineshape      194
Gaussian distribution, lineshape, Brownian oscillator model and      388
Gaussian distribution, profiles      173 222 292 293 386
Gaussian distribution, stochastic random variable      226 517
Gaussian wavepackets in coordinate space      233
Gaussian wavepackets in phase space      354
General relaxation matrices      149
Generalized master equations      442
Grating configurations      12
Grating signal, polarization-dependent      451—455 454f—455f
Grating, heterodyne-detected, probe field in      453
Green function      36 67 167 172 190 280 303 358
Green function for third-order variables      488
Green function of transverse electromagnetic field in vacuum      495
Green function, advanced      33—34 64
Green function, anharmonic oscillator picture and      513
Green function, coherence      203 204—205 403
Green function, coherence, semiclassical expansion with reference Hamiltonian      199—200 204—205
Green function, contour integration      32—33
Green function, exciton population      488 519
Green function, expression, for four-wave mixing signal including radiative decay      493—496
Green function, expression, for molecular assembly with arbitrary geometry      496
Green function, expression, for nonlinear response      485—486
Green function, expression, frequency domain, in Hilbert space vs. Liouville space      58t
Green function, expression, in general solution of Heisenberg equation of motion      139
Green function, expression, in Hilbert space      31—34 137
Green function, expression, in Liouville space      64—67
Green function, expression, noninteracting, for pure dephasing      519
Green function, expression, of optical response of molecular nanostructures with arbitrary geometry      483—488 484f
Green function, expression, of optical response of molecular nanostructures with arbitrary geometry, in frequency domain      150
Green function, expression, one-exciton      487
Green function, expression, one-sided Fourier transform      120
Green function, expression, partitioning of      35—36
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