Introduction / 1: |
Eigenmodes of Photonic Crystals / 2: |
Wave Equations and Eigenvalue Problems / 2.1: |
Eigenvalue Problems in Two-Dimensional Crystals / 2.2: |
Scaling Law and Time Reversal Symmetry / 2.3: |
Photonic Band Calculation / 2.4: |
Fourier Expansion of Dielectric Functions / 2.4.1: |
Some Examples / 2.4.2: |
Phase Velocity, Group Velocity, and Energy Velocity / 2.5: |
Calculation of Group Velocity / 2.6: |
Complete Set of Eigenfunctions / 2.7: |
Retarded GreenÆs Function / 2.8: |
Symmetry of Eigenmodes / 3: |
Group Theory for Two-Dimensional Crystals / 3.1: |
Classification of Eigenmodes in the Square Lattice / 3.2: |
Classification of Eigenmodes in the Hexagonal Lattice / 3.3: |
Group Theory for Three-Dimensional Crystals / 3.4: |
Classification of Eigenmodes in the Simple Cubic Lattice / 3.5: |
Classification of Eigenmodes in the fcc Lattice / 3.6: |
Transmission Spectra / 4: |
Light Transmission and Bragg Reflection / 4.1: |
Field Equations / 4.2: |
E Polarization / 4.2.1: |
H Polarization / 4.2.2: |
Fourier Transform of the Dielectric Function / 4.3: |
Square Lattice / 4.3.1: |
Hexagonal Lattice / 4.3.2: |
Refraction Law for Photonic Crystals / 4.4: |
Optical Response of Photonic Crystals / 5: |
Solutions of Inhomogeneous Equations / 5.1: |
Dipole Radiation / 5.2: |
Stimulated Emission / 5.3: |
Sum-Frequency Generation / 5.4: |
Three-Dimensional Case / 5.4.1: |
Two-Dimensional Case / 5.4.2: |
SHG in the Square Lattice / 5.5: |
Free Induction Decay / 5.6: |
Defect Modes in Photonic Crystals / 6: |
General Properties / 6.1: |
Principle of Calculation / 6.2: |
Point Defects in a Square Lattice / 6.3: |
Point Defects in a Hexagonal Lattice / 6.4: |
Line Defects in a Square Lattice / 6.5: |
Dielectric Loss and Quality Factor / 6.6: |
Band Calculation with Frequency-Dependent Dielectric Constants / 7: |
Modified Plane Waves in Metallic Crystals / 7.1: |
Surface Plasmon Polaritons / 7.3: |
Plasmon Polaritons on Flat Surface / 7.3.1: |
Plasmon Resonance on a Metallic Cylinder / 7.3.2: |
Symmetry of Plasmon Polaritons / 7.3.3: |
Plasmon Bands in a Square Lattice / 7.3.4: |
Photonic Crystal Slabs / 8: |
Eigenmodes of Uniform Slabs / 8.1: |
Photonic Band Structure and Transmission Spectra / 8.2: |
Quality Factor / 8.4: |
Low-Threshold Lasing Due to Group-Velocity Anomaly / 9: |
Enhanced Stimulated Emission / 9.1: |
Lasing Threshold / 9.2: |
Analytical Expression / 9.2.1: |
Numerical Estimation / 9.2.2: |
Quantum Optics in Photonic Crystals / 10: |
Quantization of the Electromagnetic Field / 10.1: |
Quadrature-Phase Squeezing / 10.2: |
Interaction Hamiltonian / 10.3: |
Lamb Shift / 10.4: |
Epilogue / 11: |
References |
Index |
Introduction / 1: |
Eigenmodes of Photonic Crystals / 2: |
Wave Equations and Eigenvalue Problems / 2.1: |
Eigenvalue Problems in Two-Dimensional Crystals / 2.2: |
Scaling Law and Time Reversal Symmetry / 2.3: |
Photonic Band Calculation / 2.4: |