Optical properties of photonic crystals /
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| Author / Creator: | Sakoda, Kazuaki, 1957- |
|---|---|
| Imprint: | Berlin ; New York : Springer, c2001. |
| Description: | xi, 223 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Springer series in optical sciences, 0342-4111 ; 80 Springer series in optical sciences ; v. 80. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4472078 |
Table of Contents:
- 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 GreenÆs 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. Epilogue
- References
- Index
