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Photonic Crystals : The Road from Theory to Practice - Steven G. Johnson

Photonic Crystals

The Road from Theory to Practice

Hardcover Published: 30th November 2001
ISBN: 9780792376095
Number Of Pages: 145

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Photonic Crystals: The Road from Theory to Practice explores the theoretical road leading to the practical application of photonic band gaps. These new optimal devices are based on symmetry and resonance and the benefits and limitations of hybrid "two dimensional" slab systems in three dimensions. The book also explains that they also signify a return to the ideal of an omnidirectional band gap in a structure inspired by and emulating the simplicity of two dimensions. Finally, the book takes a look at computational methods to solve the mathematical problems that underlie all undertakings in this field.
Photonic Crystals: The Road from Theory to Practice should rapidly bring the optical professional and engineer up to speed on this intersection of electromagnetism and solid-state physics. It will also provide an excellent addition to any graduate course in optics.

Preface and Acknowledgements
Photonic Crystals and Other Obscure Topics
In the Beginning, There Was Maxwell
Periodic Surprises
Photonic Crystals
Things to Come
Intersecting Optical Pipes
Photonic-Crystal Slabs
A New Photonic Crystal
So, You Want To Study Photonic Crystals
Gaps & Maxwells Equations: A Whirlwind Tour
Maxwells Equations
Maxwell Meets Bloch & Floquet
The Origin of the Photonic Band Gap
Localized Defect States
Elimination of Crosstalk in Perpendicular Waveguide Intersections
Eliminating Crosstalk by Symmetry
Intersecting Photonic-Crystal Waveguides
Intersecting Conventional Waveguides
Guided Modes in Photonic-Crystal Slabs
Computational Method
Photonic-Crystal Slab Band Structures
Effects of Slab Thickness
Slabs with Solid Backgrounds (Sandwiches)
Slabs with Periodic Backgrounds
Slabs with Symmetry-Breaking Backgrounds
Linear Waveguides in Photonic-Crystal Slabs
Computational Method
Reduced-Index Waveguides
Increased-Index Waveguides
Strip Waveguides in Photonic-Crystal Slabs
Waveguides in Other Directions
Estimating the Field Energy in the Dielectric
High-Q Cavities in Photonic-Crystal Slabs
Computational Method
Mode Delocalization
Multipole Cancellation
The Multipole Expansion for Radiation Fields
A Multipole Cancellation in 2d
A Multipole Cancellation in 3d
Summary and Conclusions
Layered Photonic Crystal with a Complete Three-dimensional Band Gap
Other Photonic-Crystal Structures
Characterizing the New Structure
Possible Fabrication Methods
Block-iterative Frequency-Domain Methods for Maxwells Equations
The Maxwell Eigen Problem
The Choice of Basis
Inversion Symmetry
The Effective Dielectric Tensor
Iterative Eigensolvers
Conjugate-gradient Minimization of the Rayleigh Quotient
The Davidson Method
Interior Eigenvalues
To Block or Not To Block?
Concluding Remarks
Looking Back
Looking Forward. Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792376095
ISBN-10: 0792376099
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 145
Published: 30th November 2001
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 1.27
Weight (kg): 0.9

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