Preface ....................................................... vii
1. Introduction ................................................. 1
1.1 Surface Plasmon Resonance ................................ 2
1.2 Percolation Threshold: Singularities in
Metal-dielectric Composites ............................. 11
2. Conducting Stick Composites and Left Handed Metamaterials ... 19
2.1 Metamaterial ............................................ 19
2.2 Conductivity and Dielectric Constant: Effective Medium
Theory .................................................. 27
2.3 High-frequency Response ................................. 38
2.3.1 Scattering of electromagnetic wave by conducting
stick ............................................. 39
2.3.2 High-frequency effective dielectric function ...... 47
2.4 Giant Enhancements of Local Electric Fields ............. 50
2.5 Optical Magnetism, Left-handed Optical Materials and
Superresolution ......................................... 54
2.5.1 Analytical theory of magnetic plasmon
resonances ........................................ 61
2.5.2 Numerical simulations of two-dimensional
nanowire structures ............................... 68
2.5.3 Capacitance and inductance of two parallel
wires ............................................. 72
2.6 Planar Nanowire Composites .............................. 77
3. Semicontinuous Metal Films .................................. 83
3.1 Introduction ............................................ 83
3.2 Giant Field Fluctuations ................................ 89
3.2.1 Lattice model ..................................... 93
3.2.2 Numerical method .................................. 95
3.2.3 Field distributions on semicontinuous metal
films ............................................. 97
3.3 Localization of Surface Plasmons ....................... 102
3.3.1 Localization length and average intensity of
local electric field ............................. 102
3.3.2 High-order moments of local electric fields ...... 108
3.3.3 Properties of the localized eigenmodes ........... 111
3.3.4 Scaling theory of giant field fluctuations ....... 117
3.4 Anomalous Light Scattering from Semicontinuous Metal
Films .................................................. 122
3.4.1 Rayleigh scattering .............................. 123
3.4.2 Scaling properties of correlation function ....... 127
3.5 Surface Enhanced Raman Scattering (SERS) ............... 130
3.6 Giant Enhancements of Optical Nonlinearities ........... 136
3.7 Percolation-enhanced Nonlinear Scattering:
High Harmonic Generation ............................... 141
4. Optical Properties of Metal-dielectric Films:
Beyond Quasistatic Approximation ........................... 153
4.1 Generalized Ohm's Law (GOL) and Basic Equations ........ 154
4.2 Transmittance, Reflectance, and Absorptance ............ 160
4.3 Numerical Simulations of Local Electric and Magnetic
Fields ................................................. 165
4.4 Spatial Moments of Local Electric and Magnetic
Fields ................................................. 167
4.5 Extraordinary Optical Transmittance (EOT) .............. 172
4.5.1 Resonant transmittance ........................... 187
4.5.2 Light-induced and light-controlled
transmittance .................................... 200
4.5.3 Discussion ....................................... 204
5. Electromagnetic Properties of Metal-dielectric Crystals .... 205
5.1 Metal-dielectric Composites ............................ 206
5.2 Electromagnetic Crystals ............................... 218
5.2.1 Cubic lattice of metal spheres ................... 219
5.2.2 A wire-mesh electromagnetic crystal .............. 222
Bibliography .................................................. 231
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