Optical properties of photonic crystals /

Optical properties of photonic crystals /

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Bibliographic Details
Author / Creator:Sakoda, Kazuaki, 1957-
Edition:2nd ed.
Imprint:Berlin ; New York : Springer, ©2005.
Description:1 online resource (xiii, 253 pages) : illustrations.
Language:English
Series:Springer series in optical sciences, 0342-4111 ; 80
Springer series in optical sciences ; v. 80.
Subject:
Photons.
Crystal optics.
Crystal optics.
Photons.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11065737
Hidden Bibliographic Details
ISBN:3540206825
9783540206828
3540269657
9783540269656
9786610305056
6610305056
Notes:Includes bibliographical references (pages 247-250) and index.
Summary:"This is the first comprehensive text-book on the optical properties of photonic crystals. It deals not only with the properties of the radiation modes inside the crystals but also with their peculiar optical response to external fields. A general theory of linear and nonlinear optical response is developed in a clear and detailed fashion using the Green's function method. The symmetry of the eigenmodes is treated systematically using group theory to show how it affects the optical properties of photonic crystals. Important recent developments such as the enhancement of stimulated emission, second harmonic generation, quadrature-phase squeezing, and low-threshold lasing are also treated in detail and made understandable. Numerical methods are also emphasized. Thus this book provides both an introduction for graduate and undergraduate students and also key information for researchers in this field. This second edition has been updated and includes a new chapter on superfluorescence."--Jacket.
Other form:Print version: Sakoda, Kazuaki, 1957- Optical properties of photonic crystals. 2nd ed. Berlin ; New York : Springer, ©2005 3540206825
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

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