Photonic Crystals :Molding the Flow of Light, Second Edition

Publication subTitle :Molding the Flow of Light, Second Edition

Author: Joannopoulos John;Johnson Steven;Winn Joshua  

Publisher: Princeton University Press‎

Publication year: 2011

E-ISBN: 9781400828241

P-ISBN(Paperback): 9780691124568

Subject: O734 SINGLE CRYSTALS

Keyword: 光学

Language: ENG

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Description

Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications.


Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory. They then investigate the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions. This new edition includes entirely new chapters describing important hybrid structures that use band gaps or periodicity only in some directions: periodic waveguides, photonic-crystal slabs, and photonic-crystal fibers. The authors demonstrate how the capabilities of photonic crystals to localize light can be put to work in devices such as filters and splitters. A new appendix provides an overview of computational methods for electromagnetism. Existing chapters have been considerably updated and expanded to include many new three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode theory, discussions of diffraction and

Chapter

Index guiding

Discrete Translational Symmetry

Photonic Band Structures

Rotational Symmetry and the Irreducible Brillouin Zone

Mirror Symmetry and the Separation of Modes

Time-Reversal Invariance

Bloch-Wave Propagation Velocity

Electrodynamics vs. Quantum Mechanics Again

Further Reading

4 The Multilayer Film: A One-Dimensional Photonic Crystal

The Multilayer Film

The Physical Origin of Photonic Band Gaps

The Size of the Band Gap

Evanescent Modes in Photonic Band Gaps

Off-Axis Propagation

Localized Modes at Defects

Surface States

Omnidirectional Multilayer Mirrrors

Further Reading

5 Two-Dimensional Photonic Crystals

Two-Dimensional Bloch States

A Square Lattice of Dielectric Columns

A Square Lattice of Dielectric Veins

A Complete Band Gap for All Polarizations

Out-of-Plane Propagation

Localization of Light by Point Defects

Point defects in a larger gap

Linear Defects and Waveguides

Surface States

Further Reading

6 Three-Dimensional Photonic Crystals

Three-Dimensional Lattices

Crystals with Complete Band Gaps

Spheres in a diamond lattice

Yablonovite

The woodpile crystal

Inverse opals

A stack of two-dimensional crystals

Localization at a Point Defect

Experimental defect modes in Yablonovite

Localization at a Linear Defect

Localization at the Surface

Further Reading

7 Periodic Dielectric Waveguides

Overview

A Two-Dimensional Model

Periodic Dielectric Waveguides in Three Dimensions

Symmetry and Polarization

Point Defects in Periodic Dielectric Waveguides

Quality Factors of Lossy Cavities

Further Reading

8 Photonic-Crystal Slabs

Rod and Hole Slabs

Polarization and Slab Thickness

Linear Defects in Slabs

Reduced-radius rods

Removed holes

Substrates, dispersion, and loss

Point Defects in Slabs

Mechanisms for High Q with Incomplete Gaps

Delocalization

Cancellation

Further Reading

9 Photonic-Crystal Fibers

Mechanisms of Confinement

Index-Guiding Photonic-Crystal Fibers

Endlessly single-mode fibers

The scalar limit and LP modes

Enhancement of nonlinear effects

Band-Gap Guidance in Holey Fibers

Origin of the band gap in holey fibres

Guided modes in a hollow core

Bragg Fibers

Analysis of cylindrical fibers

Band gaps of Bragg fibers

Guided modes of Bragg fibers

Losses in Hollow-Core Fibers

Cladding losses

Inter-modal coupling

Further Reading

10 Designing Photonic Crystals for Applications

Overview

A Mirror, a Waveguide, and a Cavity

Designing a mirror

Designing a waveguide

Designing a cavity

A Narrow-Band Filter

Temporal Coupled-Mode Theory

The temporal coupled-mode equations

The filter transmission

A Waveguide Bend

A Waveguide Splitter

A Three-Dimensional Filter with Losses

Resonant Absorption and Radiation

Nonlinear Filters and Bistability

Some Other Possibilities

Reflection, Refraction, and Diffraction

Reflection

Refraction and isofrequency diagrams

Unusual refraction and diffraction effects

Further Reading

Epilogue

Appendices

Appendix A: Comparisons with Quantum Mechanics

Appendix B: The Reciprocal Lattice and the Brillouin Zone

The Reciprocal Lattice

Constructing the Reciprocal Lattice Vectors

The Brillouin Zone

Two-Dimensional Lattices

Three-Dimensional Lattices

Miller Indices

Appendix C: Atlas of Band Gaps

A Guided Tour of Two-Dimensional Gaps

Three-Dimensional Gaps

Appendix D: Computational Photonics

Generalities

Frequency-Domain Eigenproblems

Frequency-Domain Responses

Time-Domain Simulations

A Planewave Eigensolver

Further Reading and Free Software

Bibliography

Index

A

B

C

D

E

F

G

H

I

K

L

M

N

O

P

Q

R

S

T

U

V

W

Y

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