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Antonello Andreone
University of Naples “Federico II”, Italy
Andrea Cusano • Antonello Cutolo • Vincenzo Galdi
University of Sannio, Italy
editors
NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI
World Scientific
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British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to
photocopy is not required from the publisher.
ISBN-13 978-981-4355-18-6
ISBN-10 981-4355-18-6
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
Copyright © 2011 by World Scientific Publishing Co. Pte. Ltd.
Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
Printed in Singapore.
SELECTED TOPICS IN PHOTONIC CRYSTALS AND METAMATERIALS
Lakshmi - Selected Topics in Photonic.pmd 5/4/2011, 9:40 AM
1
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To my women: Maria Emilia, Maria Teresa, Maria Alessandra,
and to my parents.
A. C.
To Dani and Ellie, made for me in the stars.
V. G.
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vii
FOREWORD
In our age-old quest to harness the properties of lightwaves for encoding,
transmitting, storing and revealing information, we have developed ever
more sophisticated tools and methods for their manipulation. The field of
Optics was the first manifestation of this quest, which defined the
classical ray-optics model that led to the well-known telescopes used in
astronomical studies. We then learned to understand and control
properties such as diffraction, scattering and absorption, and thus gave
birth to the field of Photonics, which considers light-rays in terms of
their constituent parts, namely Photons. Photonics opened up a new
understanding and a new toolkit for managing light, especially at the
wavelength-scale. It encouraged researchers to create micro-and
nanostructures and enabled them to maximise the control they were able
to exert over the generation and propagation of light. As a result,
significant management of electromagnetic radiation is now possible
with photonic crystals, while photonic crystal fibres give us
supercontinuum sources, metamaterials give us superresolution beyond
the diffraction limit and we are even considering the prospect of
invisibility cloaks based on transformation optics, which, not very long
ago, were only considered in the realm of magic and fiction.
This book provides a comprehensive overview of this effort as well as
the current State-of-the-Art in the field of Photonic Crystals and
Metamaterials. It beautifully blends the opportunities available with
nanostructures in both dielectrics and metals, highlighting the unique
opportunities available with either type of material. It comprehensively
covers the topic of Photonics in nanostructured materials, starting from
first principles, and developing these towards the State-of-the-Art. It
thereby makes the topic accessible to newcomers to the field, yet it
provides sufficient depth to interest the expert; in short, it is both
rigorous and accessible, and all aspects are very well explained.
The book features chapters by some of the leaders in the field who
provide considerable authority. It presents an exciting mix of
fundamentals (e.g. a beautiful treatment of Maxwell’s equations in
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Foreword
viii
periodic media in Chapter 1), as well as technological aspects (many
chapters, but especially in Chapters 17-18), leading on to applications
such as cloaking (Chapters 8-11) and biosensing (Chapter 12). In short, it
captures the many-faceted approach required to master the art of
Photonics in nanostructured materials in an exemplary fashion.
This is not an undergraduate textbook, but rather aimed at
postgraduate students and active practitioners in the field of
nanostructured photonics who want to learn about the many aspects that
are being explored in the field. It makes an excellent read.
March, 2011 Thomas F. Krauss
School of Physics and Astronomy
University of St Andrews
St. Andrews, Fife, KY16 9SS, UK
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ix
PREFACE
“Death's got an Invisibility Cloak?” Harry interrupted again.
“So he can sneak up on people,” said Ron.
“Sometimes he gets bored of running at them,
flapping his arms and shrieking …”
J. K. Rowling, Harry Potter and the Deathly Hallows
During the last decade, the formidable advances in the materials
science and technology have enabled for the synthesis and engineering of
novel classes of artificial materials capable of exhibiting anomalous
effects and interactions (e.g., negative refraction, super-resolution
imaging, bandgap, optical magnetism, slow-light, “invisibility cloaking,”
etc.) with electromagnetic (EM) fields which are not observable (at
least at the frequencies of interest) in materials available in nature.
Such artificial materials are typically composed of (ordered or
random) arrangements of elementary inclusions of size much smaller
than the operating wavelength. Among the various possible categories
and denominations, it is worth mentioning the “photonic crystals”
(also known as photonic or EM bandgap structures, and characterized by
inter-element spacings of the order of the wavelength) and the
“metamaterials” (with spacings much smaller than the wavelength,
and hence amenable to modeling via macroscopic constitutive
relationships).
The physics and engineering of artificial materials has rapidly
established itself as a forefront field, with a strongly dynamic and
interdisciplinary character (which encompasses the materials science
and engineering, nanotechnology, solid-state physics, and EM), of
great strategic importance, as witnessed by the steadily growing rate of
topical publications, the recent creation of topical journals, conferences
and workshops promoted by several scientific societies, the research
efforts at international level, and the number of proposed novel
applications based on them.
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Preface
x
This monograph is an attempt to summarize both the basic and the
more advanced aspects of this discipline, by providing a representative
sample of the latest trends and results in a rapidly-evolving research
scenario.
The various contributions, by renowned scientists from academia and
the industry, address wide-ranging topics, including aspects pertaining to
modeling, phenomenologies, experiments, technologies and applications.
More specifically, after an introduction, at a tutorial level, of the basic
aspects of photonic crystals and metamaterials, a variety of selected
topics are presented, including photonic quasi-crystals, arrays of
nanoparticles, EM-bandgap superstrates, structured optical fibres,
transformation EM and “invisibility cloaking,” slow light, enhanced
transmission, etc. Besides the theoretical and modeling aspects, real-
world applications (e.g., to biosensing, twin-photon generation, etc.) as
well as fabrication and production aspects are also addressed.
It is hoped that this monograph may serve as a useful tool for
“newcomers” to the field, such as Master and PhD students, as well as
for specialists, and that the breadth of the topics addressed may stimulate
some cross-fertilization of ideas which is essential in such a complex and
multi-faceted research field.
The editors express their sincere appreciation to all the contributors
(about sixty, from eight different countries), who cooperated by
submitting their final manuscripts within tight deadlines imposed to
ensure timely publication of this monograph. Also, special thanks are due
to Dr. Paola Ambrosino, for her valuable assistance in the monograph
preparation.
Naples, Benevento Antonello Andreone
March, 2011 Andrea Cusano
Antonello Cutolo
Vincenzo Galdi
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xi
CONTRIBUTORS
Giancarlo Abbate
CNR-SPIN and Department of Physics,
University of Naples “Federico II,” Italy
Kamil B. Alici
Nanotechnology Research Centre, Bilkent
University, Turkey
Andrea Alù
Department of Electrical and Computer
Engineering, The University of Texas at
Austin, USA
Antonello Andreone
CNR-SPIN and Department of Physics,
University of Naples “Federico II,” Italy
Koray Aydin
Thomas J. Watson Laboratories of
Applied Physics, California Institute of
Technology, USA
Mario Bertolotti
Department of Energetics, Sapienza
University, Italy
Filiberto Bilotti
Department of Applied Electronics, Roma
Tre University, Italy
Fabio A. Bovino
Quantum Optics Lab SELEX-SI, Italy
Matteo Braccini
Department of Energetics, Sapienza
University, Italy
Ian D. Block
Department of Electrical and Computer
Engineering, University of Illinois at
Urbana-Champaign, USA
Ozgur A. Cakmak
Nanotechnology Research Centre, Bilkent
University, Turkey
Salvatore Campione
Department of Electrical Engineering and
Computer Science, University of
California Irvine, USA
Stefania Campopiano
Department for Technologies, University
of Naples “Parthenope,” Italy
John Canning
School of Chemistry, University of Sydney,
Australia
Filippo Capolino
Department of Electrical Engineering and
Computer Science, University of
California Irvine, USA
Bernard Didier F. Casse
Department of Physics, Northeastern
University, USA
Giuseppe Castaldi
Department of Engineering, University of
Sannio, Italy
C. T. Chan
Department of Physics, Hong Kong
University of Science and Technology,
China
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Contributors
xii
Leo Chan
Department of Electrical and Computer
Engineering, University of Illinois at
Urbana-Champaign, USA
Caterina Ciminelli
Department of Electrotechnics and
Electronics, Polytechnic of Bari, Italy
Brian T. Cunningham
Department of Electrical and Computer
Engineering and Department of
Bioengineering, University of Illinois at
Urbana-Champaign, USA
Andrea Cusano
Department of Engineering, University of
Sannio, Italy
Antonello Cutolo
Department of Engineering, University of
Sannio, Italy
Emiliano Di Gennaro
CNR-SPIN and Department of Physics,
University of Naples “Federico II,” Italy
Guillaume Dupont
Institut Fresnel, UMR CNRS 6133,
University of Aix-Marseille III, France
Nader Engheta
Department of Electrical and Systems
Engineering, University of Pennsylvania,
USA
Stefan Enoch
Institut Fresnel, UMR CNRS 6133,
University of Aix-Marseille III, France
Fabrizio Frezza
Department of Electronic Engineering,
Sapienza University, Italy
Vincenzo Galdi
Department of Engineering, University of
Sannio, Italy
Ilaria Gallina
Department of Engineering, University of
Sannio, Italy
Nikhil Ganesh
Department of Material Science and
Engineering, University of Illinois at
Urbana-Champaign, USA
Sebastien Guenneau
Institut Fresnel, UMR CNRS 6133,
University of Aix-Marseille III, France
Dmitry Kozlov
St. Petersburg Electrotechnical
University, Russia
Eiichi Kuramochi
NTT Basic Research Laboratories, NTT
Corporation, Japan
Zhifang Lin
Depertmanet of Physics, Hong Kong
University of Science and Technology,
and Department of Physics, Fudan
University, China
Meng Lu
Department of Electrical and Computer
Engineering, University of Illinois at
Urbana-Champaign, USA
Wentao T. Lu
Department of Physics, Northeastern
University, USA
Stefano Maci
Department of Information Engineering,
University of Siena, Italy
Enrica Martini
Department of Information Engineering,
University of Siena, Italy
Danilo Mascolo
Area Economica Confindustria Emilia-
Romagna, Italy
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Contributors xiii
Maria Rosaria Masullo
INFN—Naples Unit, Italy
Patrick C. Mathias
Department of Bioengineering, University
of Illinois at Urbana-Champaign, USA
Jack Ng
Department of Physics, Hong Kong
University of Science and Technology,
China
Mikhail Odit
St. Petersburg Electrotechnical
University, Russia
Ekmel Ozbay
Nanotechnology Research Centre, Bilkent
University, Turkey
Lara Pajewski
Department of Applied Electronics, Roma
Tre University, Italy
Emanuele Pascale
Department of Engineering, University of
Sannio, Italy
Ida Petrone
Department of Engineering, University of
Sannio, Italy
Marco Pisco
Department of Engineering, University of
Sannio, Italy
Cristina Ponti
Department of Applied Electronics, Roma
Tre University, Italy
Armando Ricciardi
Department for Technologies, University
of Naples “Parthenope,” Italy
T. Priya Rose
CNR-SPIN and Department of Physics,
University of Naples “Federico II,” Italy
Salvatore Savo
Department of Physics, Northeastern
University, USA, and Department of
Physics, University of Naples “Federico
II,” Italy
Giuseppe Schettini
Department of Applied Electronics, Roma
Tre University, Italy
Luca Scorrano
Department of Applied Electronics, Roma
Tre University, Italy
Concita Sibilia
Department of Energetics, Sapienza
University, Italy
Srinivas Sridhar
Department of Physics, Northeastern
University, USA
Simone Tricarico
Department of Applied Electronics, Roma
Tre University, Italy
Lucio Vegni
Department of Applied Electronics, Roma
Tre University, Italy
Irina Vendik
St. Petersburg Electrotechnical
University, Russia
Arthur Yaghjian
Concord MA, 01742 USA
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xv
CONTENTS
Foreword by T. F. Krauss ...............................................................vii
Preface..............................................................................................ix
Contributors...................................................................................... xi
1 Introduction to Photonic Crystals and Metamaterials
C. Ciminelli....................................................................................... 1
2 In-Plane Propagation in Photonic Quasi-Crystals: Band-Gap,
Confinement, and Focusing
T. Priya Rose, E. Di Gennaro, A. Andreone, G. Abbate,
M. R. Masullo, I. Gallina, G. Castaldi, V. Galdi............................ 47
3 Out-of-Plane Propagation in Photonic Quasi-Crystals: Guided
Resonances
A. Ricciardi, S. Campopiano, M. Pisco, A. Cusano,
I. Gallina, G. Castaldi, V. Galdi..................................................... 75
4 Photonic Molecules Organized by Light
J. Ng, Z. Lin, C. T. Chan............................................................... 113
5 Linear and Planar Periodic Arrays of Metallic Nanospheres:
Fabrication, Optical Properties and Applications
S. Campione, F. Capolino ........................................................... 141
6 All-Dielectric Metamaterials Based on Spherical and Cubic
Inclusions
I. Vendik, M. Odit, D. Kozlov ....................................................... 195
7 EBG Superstrates for Directivity Enhancement of Antennas
F. Frezza, L. Pajewski, C. Ponti, G. Schettini.............................. 215
8 Transformation Electromagnetism
G. Dupont, S. Guenneau, S. Enoch............................................... 239
9 Plasmonic Cloaking: Scattering Cancellation without Isolation
A Alù, N. Engheta......................................................................... 263
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Contents
xvi
10 Scattering Cancellation Approach to Cloaking: Actual
Implementation and Recent Advancements
F. Bilotti, S. Tricarico, L. Vegni .................................................. 285
11 Cloaking in Terms of Nonradiating Cancelling Currents
E. Martini, S. Maci, A. Yaghjian .................................................. 303
12 Photonic Crystals for Biosensing
B. T. Cunningham, I. D. Block, L. Chan, N. Ganesh,
M. Lu, P. C. Mathias .................................................................... 329
13 Twin Photons Generation in an Integrated Photonic Crystal
Structure
F. A. Bovino, M. Braccini, C. Sibilia, M. Bertolotti ..................... 359
14 Slow Light in Negative Permeability Metamaterial
Waveguides
S. Savo, W. T. Lu, B. D. F. Casse, S. Sridhar ............................... 373
15 Structured Optical Fibres and the Application of Their Linear
and Non-Linear Properties
J. Canning..................................................................................... 389
16 Enhanced Transmission through Sub-Wavelength Apertures
by Using Metamaterials
F. Bilotti, L. Scorrano, K. B. Alici, K. Aydin,
O. A. Cakmak, E. Ozbay, L.Vegni................................................. 453
17 Fabrication of 2D and 3D Photonic Crystals
E. Kuramochi................................................................................ 479
18 Production Technologies for Manufacturing of Metamaterials
and Photonic Crystals
D. Mascolo, I. Petrone, E. Pascale, M. Pisco, A. Cutolo............. 505
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