ISBN: 3-540-65615-4
TITLE: Nonlinear Optics of Random Media
AUTHOR: Shalaev, Vladimir M.
TOC:

1. Electromagnetic Properties of Random Composites. A Review of Basic Approaches 1
1.1 Introduction to Random Media: Fractals, Self-Affine Surfaces and Percolation Composites 1
1.2 Mean-Field Theories and Numerical Techniques 5
1.3 Spectral Representation 9
1.4 Critical Behavior of Conductivity and Dielectric Function in the Percolation Model 10
2. Surface-Enhanced Nonlinear Optical Phenomena 15
2.1 Introduction 15
2.2 Surface-Enhanced Optical Responses 17
2.2.1 Kerr Optical Nonlinearity 17
2.2.2 Four-Wave Mixing 18
2.2.3 Raman Scattering 19
2.2.4 High-Order Harmonic Generation 19
3. Small-Particle Fractal Aggregates 21
3.1 Introduction 21
3.2 Basic Theoretical Approaches 24
3.2.1 Coupled Dipoles 24
3.2.2 Polarizability of a Monomer 26
3.2.3 Eigenmode Expansion 27
3.2.4 Quasi-Static Approximation 29
3.3 Absorption Spectra of Fractal Aggregates 33
3.4 Local-Field Enhancement in Fractals 38
3.5 Near-Field Imaging and Spectroscopy of Hot Spots 41
3.6 Surface-Enhanced Optical Nonlinearities in Fractals 46
3.6.1 Qualitative Consideration and Estimates 46
3.6.2 Enhanced Raman and Rayleigh Scattering 48
3.6.3 Nearly Degenerate Four-Wave Mixing 53
3.6.4 Optical Kerr Effect 60
3.7 Local Photomodification in Fractals 64
3.8 Fractals in Microcavities 69
4. Self-Affine Thin Films 75
4.1 General Approach 75
4.2 Linear Optical Properties 78
4.3 Enhanced Optical Phenomena on Self-Affine Surfaces 81
4.3.1 Raman Scattering 82
4.3.2 Second-Harmonic Generation 84
4.3.3 Third-Harmonic Generation 89
4.3.4 Kerr Optical Nonlinearity and Four-Wave Mixing 93
4.4 Nano-Optics of Fractal Aggregates Deposited on a Surface 95
4.4.1 Sample Preparation and Numerical Simulations 95
4.4.2 Fractal-Surface-Enhanced Nonlinear Nano-Optics 96
5. Random Metal-Dielectric Films 101
5.1 Introduction 101
5.2 Giant Field Fluctuations 104
5.2.1 Linear Response 105
5.2.2 Nonlinear Response 107
5.2.3 Numerical Model 111
5.2.4 Field Distributions 113
5.3 Scaling Theory for High-Order Field Moments 118
5.3.1 Percolation and Anderson Transition Problem 118
5.3.2 Resonance Excitations at epsilon_d = -epsilon'_m 120
5.3.3 Scaling Renormalization and Collective Resonances at |epsilon_m|/epsilon_d>>1 124
5.3.4 Comparison of Surface-Enhanced Phenomena in Fractal and Percolation Composites 130
5.4 Some Experimental Results 134
5.4.1 Near-Field Nano-Optics 134
5.4.2 Surface-Enhanced Raman Scattering 137
5.4.3 Kerr Optical Nonlinearity and White-Light Generation 139
5.5 Percolation-Enhanced Nonlinear Scattering 141
References 149
Index 157
END
