Electromagnetic Theory and Applications for Photonic Crystals: 1st Edition (Hardback) book cover

Electromagnetic Theory and Applications for Photonic Crystals

1st Edition

Edited by Kiyotoshi Yasumoto

CRC Press

464 pages | 255 B/W Illus.

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pub: 2005-10-14
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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

About the Series

Optical Science and Engineering

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Subject Categories

BISAC Subject Codes/Headings:
SCI053000
SCIENCE / Optics
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics