During the three years since the first edition of this book
was published, the study of photonic crystals has made steady
progress. The propagation of elec- tromagnetic waves in various
types of photonic crystal has been investigated thoroughly by many
researchers so that the basis for practical applications is now
firmly established. On the other hand, the quantum-optical aspects
of photonic crystals remain less-well investigated although they
may bring about completely new quantum-electrodynamical effects,
due to the anoma-lous photon density of states realized-in such
crystals.
目錄:
1.Introduction
2.Eigenmodes of Photonic Crystals
2.1Wave Equations and Eigenvalue Problems
2.2Eigenvalue Problems in Two-Dimensional Crystals
2.3Scaling Law and Time R:eversal 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 R,esponse of Photonic Crystals
6.Defect Modes in Photonic Crystals
7.Band Calculationwith Frequency-Dependent Dielectric
Constants
8.Photonic Crystal Slabs
9.Low-Threshold Lasing Due to Group-Velocity Anomaly
10.Quantum Optics in Photonic Crystals
11.Superfiuorescence
12.Epilogue
References
Index