1st Edition

Electromagnetic Theory and Applications for Photonic Crystals




ISBN 9780849336775
Published October 14, 2005 by CRC Press
464 Pages 255 B/W Illustrations

USD $225.00

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Book Description

Photonic technology promises much faster computing, massive parallel processing, and an evolutionary step in the digital age. The search continues for devices that will enable this paradigm, and these devices will be based on photonic crystals. Modeling is a key process in developing crystals with the desired characteristics and performance, and Electromagnetic Theory and Applications for Photonic Crystals provides the electromagnetic-theoretical models that can be effectively applied to modeling photonic crystals and related optical devices.

The book supplies eight self-contained chapters that detail various analytical, numerical, and computational approaches to the modeling of scattering and guiding problems. For each model, the chapter begins with a brief introduction, detailed formulations of periodic structures and photonic crystals, and practical applications to photonic crystal devices. Expert contributors discuss the scattering matrix method, multipole theory of scattering and propagation, model of layered periodic arrays for photonic crystals, the multiple multipole program, the mode-matching method for periodic metallic structures, the method of lines, the finite-difference frequency-domain technique, and the finite-difference time-domain technique.

Based on original research and application efforts, Electromagnetic Theory and Applications for Photonic Crystals supplies a broad array of practical tools for analyzing and designing devices that will form the basis for a new age in computing.

Table of Contents

SCATTERING MATRIX METHOD APPLIED TO PHOTONIC CRYSTALS; Daniel Maystre, Stefan Enoch, and Gérard Tayeb
Introduction
Scattering Matrix Method
Combination of Scattering Matrix and Fictitious Sources Methods
Dispersion Relations of Bloch Modes
Theoretical and Numerical Studies of Photonic Crystal Properties
Conclusion
References
FROM MULTIPOLE METHODS TO PHOTONIC CRYSTAL DEVICE MODELING; Lindsay C. Botten, Ross C. McPhedran, C. Martijn de Sterke, Nicolae A. Nicorovici, Ara A. Asatryan, Geoffrey H. Smith, Timothy N. Langtry, Thomas P. White, David P. Fussell, and Boris T. Kuhlmey
Introduction
Multipole Theory for Finite and Infinite Structures
Multipole Modeling of Photonic Crystal Fibers
Radiation Dynamics and the Local Density of States
Bloch Mode Analysis of Composite PC Devices
Modeling of Photonic Crystal Devices
Discussion and Conclusions
Acknowledgement
References
MODELING OF PHOTONIC CRYSTALS BY MULTILAYERED PERIODIC ARRAYS OF CIRCULAR CYLINDERS; Kiyotoshi Yasumoto and Hongting Jia
Introduction
Scattering by a Single Cylinder
Scattering by a Periodic Array of Cylindrical Objects
Two-Dimensional Scattering from Layered Periodic Arrays
Three-Dimensional Scattering from Layered Crossed-Arrays
Modal Analysis of Two-Dimensional Photonic Crystal Waveguides
Numerical Examples
Conclusions
References
SIMULATION AND OPTIMIZATION OF PHOTONIC CRYSTALS USING THE MULTIPLE MULTIPOLE PROGRAM; Christian Hafner, Jasmin Smajic, and Daniel Erni
Introduction and Overview
Introduction to Photonic Crystal Simulation
Basics of the Multiple Multipole Program
Handling Periodic Symmetries While Using Periodic Boundary Conditions
Advanced MMP and MAS Eigenvalue Solvers
Computation of Waveguide Modes in Photonic Crystals
Computation of Waveguide Discontinuities
Sensitivity Analysis of Photonic Crystal Devices
Optimization Based on the Sensitivity Analysis
Achromatic 90° Bend
Filtering T-Junction
Conclusions and Outlook
Acknowledgement
References
MODE-MATCHING TECHNIQUE APPLIED TO METALLIC PHOTONIC CRYSTALS; Hongting Jia and Kiyotoshi Yasumoto
Introduction
Analysis of a Metallic Array Composed of Rectangular Cylinders
Analysis of Photonic Crystals Consisting of Metallic Cylinders with Arbitrary Cross Section
Analysis of Metallic Photonic Crystals for a General Incidence
Scattering Analysis of Crossed Photonic Crystals Consisting of Arbitrarily Shaped Cylinders
Diffraction from a Conductive Slab Cut Periodically by Rectangular Holes
Scattering Analysis of a Conductive Slab Cut Periodically by Rectangular Holes in an Arbitrary Direction
Conclusion
Acknowledgement
References
THE METHOD OF LINES FOR THE ANALYSIS OF PHOTONIC BANDGAP STRUCTURES; Reinhold Pregla and Stefan F. Helfert
Introduction
Basic Theory
Impedance/Admittance Transformation
Determination of Floquet Modes
Determining the Band Structures of Photonic Crystals
Junctions in Photonic Crystal Waveguides
Numerical Results
Conclusion
Acknowledgement
References
APPLICATIONS OF THE FINITE-DIFFERENCE FREQUENCY-DOMAIN MODE SOLUTION METHOD TO PHOTONIC CRYSTAL STRUCTURES; Chin-Ping Yu and Hung-Chun Chang
Introduction
The FDFD Model
Modal Analysis of Photonic Crystal Fibers
The FDFD Method for Analysis of Photonic Band Structures
Calculation of 2D PC Band Diagrams
Modal Analysis of Planar PC Waveguides
Conclusion
Acknowledgements
References
FINITE-DIFFERENCE TIME-DOMAIN METHOD APPLIED TO PHOTONIC CRYSTALS; Hiroyoshi Ikuno and Yoshihiro Naka
Introduction
Method of Solution
Photonic Crystal Straight Waveguide
Fundamental Optical Circuit Devices Using Photonic Crystals
Wavelength Multi/Demultiplexer
Conclusion
References
INDEX

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