Peiponen K.-E., Vartiainen E.M., Asakura T. — Dispersion, complex analysis and optical spectroscopy. Classical theory :: Электронная библиотека попечительского совета мехмата МГУ

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Peiponen K.-E., Vartiainen E.M., Asakura T. — Dispersion, complex analysis and optical spectroscopy. Classical theory

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Название: Dispersion, complex analysis and optical spectroscopy. Classical theory

Авторы: Peiponen K.-E., Vartiainen E.M., Asakura T.

Аннотация:

This book is devoted to dispersion theory in linear and nonlinear optics. Dispersion relations and methods of analysis in optical spectroscopy are derived with the aid of complex analysis. The book introduces the mathematical basis and derivations of various dispersion relations that are used in optical spectroscopy. In addition, it presents the dispersion theory of the nonlinear optical processes which are essential in modern optical spectroscopy. The book includes new methods such as the maximum entropy model for wavelength-dependent spectra analysis.

Язык:

Рубрика: Физика/Электромагнетизм/Оптика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 130

Добавлена в каталог: 25.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

symmetry      42
Absorption      2 10
Analysis with several complex variables      53 116
Analytic signal      25
Anchor angular frequency      30
Anharmonic Lorentz oscillator      109
Anomalous dispersion      5
Attenuated total reflection      30
Autocorrelation function      82
Autoregressive model      84
Background susceptibility      71 73
Beer Lambert law      9
Bilinear transformation      62 69
Blaschke product      39
Burg’s procedure      80
CARS      see “Coherent anti-Stokes Raman spectroscopy”
Cauchy — Riemann equations      8 116
Cauchy’s integral theorem      19 108 113
Cauchy’s principal value      22
Causality      17
Circular birefringence      42
Circular dichroism      42
Circularly polarized mode      43
Clausius — Mosotti relation      41
Coherent anti-Stokes Raman spectroscopy (CARS)      47 73 78
Compact set      20
Complex angular frequency      7
Complex contour integration      22 36 53 59 108
Complex reflectivity      10
Complex refractive index      8
Confromal mapping      61
Convolution      18
Crossing relations      7
Cyclotron frequency      43
Damping parameter      2
Data extrapolation      30 61 100
DC refractive index change      28
Degenerate third-order nonlinear susceptibility      51 78
Diffuse reflection      15
Discrete Fourier Transform      75 85
Dispersion relations in magneto-optics      42
Drude model      6
Effective nonlinear meromorphic susceptibility of Maxwell Garnett material      94
Effective optical constants      39
Ellipsometric measurements      12 30 88
Energy density      6
Energy loss      6
Equation of motion      1
Error phase      88 90
Extrapolation      see “Data extrapolation”
Faraday configuration      43 109
Four-wave-mixing      52 60 93
Fourier series      67 77
Fourier transform      7 82 87
Fresnel’s equations      11 12
GaAS      90
Generalized Cauchy formula      74 119
Green’s function      18
harmonic oscillator      1
Heaviside step function      20
Hilbert transforms      21
Holomorphicity of nonlinear susceptibility      51
Hyperpolarizability      47
Imaginary angular frequency      31 64

Inertial sum rule      105
Infinitesimal contour      36
Inverse power spectrum      81
Jacobian determinant      61
Jensen’s formula      112
Jordan curve      19
Jordan’s lemma      19 108 114
KC1      27 28 89
Kramers — Kronig relations      25
Laurent series expansion      63
Linear susceptibility      4
Local field - Lorentz      1 41
Local field - Onsager      1
Lorentz model      4
Magneto-optical spectroscopy      46
Magneto-optics      42
Maximum entropy model      60 79
Maxwell — Garnett material, effective susceptibility      93
Maxwell — Garnett model      39 41
Maxwell’s equations      3
Meromorphic function (meromorphic susceptibility)      52
Meromorphic permittivity, poles and zeros      112
Modulus of nonlinear susceptibility      73
Multiply-subtractive Kramers — Kronig relations      29
Nanocomposites      39
Non-minimum phase retrieval problem      39
Nonlinear susceptibility      47
Normal-incidence reflectivity      13
Oblique angle reflectance      63 68 115
Optical constants, estimation from reflectance      34
Permittivity      3
Phase retrieval      39 66
Plasma frequency      43
Poisson formula      22
Pole      7 113
Polysilane      54
Powers of complex reflectivity      102
Powers of complex refractive index      100
Principal part      58
Raman emission spectroscopy      20
Raman susceptibility      73 110
Reflection spectroscopy      34
Reflectivity, logarithm of modulus      36
Resonance frequency      2 93
Several complex variables      51 116
Square integrability      21 29
Squeezing procedure      87 89
Stokes theorem      113
Sum rules      10 58 97
Superconvergence theorem      98 104 122
Surface roughness      15
Symmetry relations      7
Theorem of residues      19 108 113
Thomas Reiche Kuhn sum rule      97
Time-resolved spectroscopy      58
Total susceptibility      56 91 112
Truncation of series      65
Two-level atomic system      56 111
Upper bounds for reflectivity and refractive index      13 14
Vandermonde system      87
Voigt configuration      46 107
Wave equation      8
Wiener inequalities      39
z-transform      84
Zeros of meromorphic susceptibility      112

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