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Photonic Crystals Towards Nanoscale Photonic Devices

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ISBN-10: 3540783466

ISBN-13: 9783540783466

Edition: 2nd 2008

Authors: Jean-Michel Lourtioz, Dominique Pagnoux, Henri Benisty, Vincent Berger, Jean-Michel Gerard

List price: $219.99
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Just like the periodical crystalline potential in solid-state crystals determines their properties for the conduction of electrons, the periodical structuring of photonic crystals leads to envisioning the possibility of achieving a control of the photon flux in dielectric and metallic materials. The use of photonic crystals as a cage for storing, filtering or guiding light at the wavelength scale thus paves the way to the realisation of optical and optoelectronic devices with ultimate properties and dimensions. This should contribute toward meeting the demands for a greater miniaturisation that the processing of an ever increasing number of data requires.Photonic Crystals intends to provide…    
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Book details

List price: $219.99
Edition: 2nd
Copyright year: 2008
Publisher: Springer Berlin / Heidelberg
Publication date: 5/20/2008
Binding: Hardcover
Pages: 514
Size: 6.10" wide x 9.25" long x 1.25" tall
Weight: 2.244
Language: English

Theoretical Models for Photonic Crystals
Introduction to Part 1
Models for Infinite Crystals
Plane Wave Expansion
Maxwell's Equations
The Floquet-Bloch Theorem
Hermiticity of the Field Operator
Simple Examples of Bloch Functions
General Plane Wave Method
Other Methods for the Calculation of the Photonic Band Gaps of an Infinite Crystal: the KKR Method
Photonic Band Diagram
The Irreducible Brillouin Zone
Band Diagrams of One-Dimensional Crystals
Band Diagrams of Two-Dimensional Photonic Crystals
Off-Axis Propagation in One and Two-Dimensional Photonic Crystals
Band Diagrams of Three-Dimensional Photonic Crystals
Infinite Crystals with Defects
Point Defects
Coupling of Point Defects
Supercell Method
Methods derived from Tight-Binding Methods in Solid State Physics
Extended Defects
Semi-Infinite Crystals and Surface Defects
Density of States in Photonic Crystals with or without Defects
Models for Finite Crystals
Transfer, Reflection and Transmission Matrix Formulations
Reflection and Transmission Matrices
Pendry Method
Finite Difference in Time Domain (FDTD) Method
Numerical Formulation of Maxwell's Equations
Case of an Incident Pulse
Absorption Region and Boundary Conditions
Practical Implementation and Convergence of the FDTD Method
Examples of Results obtained for a Point Source with the FDTD Method
Scattering Matrix Method
Other Methods: Integral and Differential Methods, Finite Element Method, Effective Medium Theory
Numerical Codes available for the Modelling of Photonic Crystals
Quasi-Crystals and Archimedean Tilings
Photonic Quasi-Crystals
Archimedean Tilings
From Photonic Quasi-Crystals to the Localization of Light
Specific Features of Metallic Structures
Bulk Metals: Drude Model, Skin Effect and Metallic Losses
Drude Model
Low-Frequency Region: Skin Effect and Metallic Losses
From the Infrared to the Visible and UV Regions
Periodic Metallic Structures at Low Frequencies
Plasmon-Like Photonic Band Gap
Transmission Spectra of Metallic and Dielectric Photonic Crystals
Complete Band Gaps in Metallic Photonic Crystals
Structures with Continuous Metallic Elements and Structures with Discontinuous Metallic Elements
Periodic Metallic Structures at Optical Frequencies. Idealized Case of a Dispersive Lossless Dielectric
Surface Waves
Surface Plasmons at a Metal/Dielectric Plane Interface
Propagation of Surface Plasmons along a Periodically Modulated Metal/Dielectric Interface and Local Enhancement of the Field
Wood's Anomalies: Phenomenological Theory
Photonic Band Gaps for the Propagation of Surface Plasmons at Periodically Modulated Metal/Dielectric Interfaces
The Photon Sieve
Surface Waves in Metals at Radiofrequencies
Optical Properties of Photonic Crystals
Introduction to Part II. The `Many Facets' of Photonic Crystals
Control of Electromagnetic Waves
The Photonic Crystal Mirror
The Semi-Infinite Photonic Crystal: Mirror or Diffraction Grating?.
Specular Reflection at a Semi-Infinite Crystal
Finite Photonic Crystals as Semi-Transparent Mirrors
Photonic Crystal Waveguides
Index Guiding and Photonic Bandgap Guiding
Three-Dimensional Photonic Crystal Waveguides
Two-Dimensional Photonic Crystal Waveguides
Density of States and Multiplicity of Guided Modes
Coexistence of Index Guiding and Photonic Bandgap Guiding
Localized Modes. Origin of Losses
Density of States
Waveguide formed by Coupled Cavities
Hybrid Structures with Index Guiding. The Light Line
Light Cone of a Uniform Waveguide
Fictitious Periodicity
True One-Dimensional Periodicity
Channel Waveguides in Two-Dimensional Photonic Crystals
Refractive Properties of Photonic Crystals and Metamaterials
Phase Refractive index, Group Refractive Index and Energy Propagation
Phase Velocity and Group Velocity
Refractive Indexes and Dispersion Diagrams
Effective Phase Index and Group Refractive Index
Refraction of Waves at the Interface between a Periodic Medium and a Homogeneous Medium
Summary of Refraction Laws in Homogeneous Media
Some Well-Known Anisotropic Media: Birefringent Solid-State Crystals
Construction of the Waves Transmitted in a Photonic Crystal
Superprism and Negative Refraction Effects
Superprism Effect
Ultra-Refraction and Negative Refraction
Simultaneous Control of the Dielectric Permittivity and the Magnetic Permeability
Negative Refraction in a Slab of Perfect Left-Handed Material
Stigmatism of a Slab of Perfect Left-Handed Material
Perfect Lens or Superlens?
Fabrication of Negative Refractive Index Metamaterials
Electromagnetic Cloaking
Confinement of Light in Zero-Dimensional Microcavities
Microcavity Sources. Principles and Effects
A Classical Effect: the Angular Redistribution of the Spontaneous Emission and the Example of Planar Microcavities
Three-Dimensional Optical Confinement in Zero-Dimensional Microcavities
Different Types of Zero-Dimensional Microcavities
Control of the Spontaneous Emission in Weak Coupling Regime. Some Experimental Results
Single-Mode Coupling of the Spontaneous Emission
Towards Strong Coupling Regime for Solid State `Artificial Atoms'
Nonlinear Optics with Photonic Crystals
The Problem of Phase Matching
�<sup>(1)</sup> Photonic Crystals
One-Dimensional �<sup>(1)</sup> Photonic Crystals
Two-Dimensional �<sup>(1)</sup> Photonic Crystals
�<sup><2)</sup> Photonic Crystals
One-Dimensional �<sup>(2)</sup> Photonic Crystals
Two-Dimensional �<sup>(2)</sup> Photonic Crystals
Photonic Crystals with Third Order Susceptibility
Fabrication, Characterization and Applications of Photonic Bandgap Structures
Introduction to Part III
Planar Integrated Optics
Objectives, New Devices and Challenges
Fundamentals of Integrated Optics and Introduction of Photonic Crystals
Conventional Waveguides
Photonic Crystals in Integrated Optics
Planar Photonic Crystals in the Substrate Approach
DFB and DBR Laser Diode Structures
Photonic Crystals, a Strong Perturbation for Guided Modes
Choice of the Diameter of the Holes and of the Period of the Crystal
Specific Parameters for InP- and GaAs-Based Systems
Deep Etching
Membrane Waveguide Photonic Crystals
Free-Standing Membranes
Reported Membranes
Macroporous Silicon Photonic Substrates
Characterization Methods for Photonic Crystals in Integrated Optics
Internal Light Source Method
End-Fire Method
Wide-Band Transmission-Reflection Spectroscopy
Losses of Photonic Crystal Integrated Optical Devices
Analysis of Losses in Planar Photonic Crystal Waveguides
Measurement of Propagation Losses in Straight Photonic Crystal Channel Waveguides
Losses in the Slow-Light Regime
Waveguide Bends in Photonic Crystals and Bend Losses
Photonic Crystal Resonators and Quality Factors
Photonic Crystal Devices and Functions : Recent Developments
Classification of devices
Coupled Resonators and Waveguides
Very high-Q cavities
Other Devices and Optical Functions
High-Efficiency Light-Emitting Diodes
Solutions for the Extraction of Light without Confinement
Enhanced Extraction Efficiency through Planar Confinement
Increase of the Extraction Efficiency using Two-Dimensional Photonic Crystals
Ridge-Type Waveguide Lasers confined by Photonics Crystals
Bulk Photonic Crystal Band Edge Lasers
Photonic crystal VCSELs
Microcavity Lasers
Potential Interest of Single-Photon Sources
Photonic Crystal Fibres
Another Implementation of Periodic Structures
Fabrication of Microstructured Optical Fibres
Solid-Core Microstructured Optical Fibres
Confinement Losses and Second Mode Transition
Attenuation and Bend Loss
Chromatic Dispersion Properties
Main Applications of Solid-Core Microstructured Optical Fibres
True Photonic Crystal Fibres (PCF)
Photonic Bandgap Cladding
Losses of Photonic Crystal Fibres with Finite Cladding
Photonic Crystal Fibres with Optimised Structures
Main Applications of Photonic Crystal Fibres
Three-Dimensional Structures in Optics
Geometrical Configurations proposed for Three-Dimensional Structures
Structures with Omnidirectional Photonic Band Gaps
Incomplete Band Gap Three-Dimensional Structures
Examples of Fabrication Processes and Realizations of Three-Dimensional Photonic Crystals in the Optical Region
Complete Band Gap Structures
Metallic Three-Dimensional Photonic Crystals in the Optical Region
Three-Dimensional Photonic Crystals and Light Emitters
Microwave and Terahertz Antennas and Circuits
Photonic Crystal Antennas
Photonic-Crystal Antenna Substrates
Photonic-Crystal Antenna Mirrors
Photonic Crystal Antenna Radomes or Superstrates
Controllable Structures and Metamaterials
Principles and Characteristics of Electrically Controllable Photonic Crystals
Electrically Controllable Photonic Crystal Antennas
Antennas and Metamaterials
Microwave Circuits and Ultra-Compact Photonic Crystals
Ultra-Compact Photonic Crystals
Microwave Filters and Waveguides realised from Ultra-Compact Photonic Crystals
From Microwaves to Terahertz Waves
From Microwaves to Optics
Impedance Matching of Photonic Waveguides
Photonic Crystal THz Imaging System
`Microwave Inspired' Nanostructures and Nanodevices
Conclusion and Perspectives
Scattering Matrix Method: Determination of the Field for a Finite Two-Dimensional Crystal formed by Dielectric Rods
Incident Field
Field inside the Rods
Field in the Vicinity of a Rod
Magneto-Photonic Cystals
Stigmatism of a Slab of Perfect Left-Handed Material: Integral for the Total Field