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