Refractive Properties of Photonic Crystals and Metamaterials

Photonic crystals can be used, either as mirrors or as reflective walls in waveguides, at wavelengths corresponding to band gaps. However, the possibility also exists of using them at wavelengths corresponding to their transmission bands, where these stru

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Jean-Michel Lourtioz · Henri Benisty Vincent Berger · Jean-Michel Gerard Daniel Maystre · Alexei Tchelnokov

Photonic Crystals Towards Nanoscale Photonic Devices Second Edition With a contribution by M. Dominique Pagnoux Translated by M. Pierre de Fornel

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Jean-Michel Lourtioz Université Paris-Sud Institut d'Electronique Fondamentale 91405 Orsay Cedex France Henri Benisty Institut d'Optique – Graduate School Campus Polytechnique, RD 128 91127 Palaiseau Cedex France Vincent Berger Université Paris VII – Denis Diderot Matériaux et Phenomenes Quantiques 2 place Jussieu 75251 Paris Cedex 05 France Jean-Michel Gérard CEA DRFMC Laboratoire de Nanophysique et Semiconducteurs 17 rue des Martyrs 38054 Grenoble Cedex 9 France

ISBN 978-3-540-78346-6

Daniel Maystre Faculté des Sciences et Techniques de Saint Jerome Institut Fresnel Ave. Escadrille Normandie-Niemen 13397 Marseille Cedex 20 France Alexei Tchelnokov CEA LETI MINATEC Département d'Optronique Bâtiment C4 17 rue des Martyrs 38054 Grenoble Cedex 9 France Dominique Pagnoux Institut de Recherche XLIM Faculté des sciences et techniques de Limoges 123, avenue Albert Thomas 87060 Limoges Cedex France

e-ISBN 978-3-540-78347-3

DOI 10.1007/978-3-540-78347-3 Library of Congress Controll Number: 2008921403 c 2008 Springer-Verlag Berlin Heidelberg  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Coverdesign: deblik, Berlin Printed on acid-free paper 987654321 springer.com

Foreword

The Analogy between Electronic Waves and Electromagnetic Waves Since the advent of quantum mechanics and the clear demonstration of the existence of 'matter waves', physicists have never failed to take advantage of concepts and theoretical methods developed in the fields of optics and electromagnetism. Thus, a number of phenomena in solid state physics are commonly interpreted by analysing electronic excitations in terms of electronic waves. By contrast, the opposite situation has rarely occurred, and only on a few occasions have optics and electromagnetism borrowed concepts and theoretical methods from solid state physics. From this point of view, the emergence of photonic bandgap materials and photonic crystals at the end of the 1980s can be seen as a revenge to the benefit this time of optics and