Eigenmodes of Photonic Crystals

As the first step of the analysis of the radiation field in a photonic crystal, we will formulate the eigenvalue problem of the wave equation and give a general numerical method to solve it. Based on the complete set of the eigenfunctions, we will also de

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OPTICAL SCIENCES founded by H.K. V. Latsch

Editor-in-Chief: W. T. Rhodes, Metz Editorial Board: T. Asakura, Sapporo K.-H. Brenner, Mannheim T. W. Hansch, Garching F. Krausz, Wien H. Weber, Berlin

Springer-Verlag Berlin Heidelberg GmbH

Physics and Astronomy

ONLINE LIBRARY

http://www.spri nger.de/phys/

Springer Series in

OPTICAL SCIENCES The Springer Series in Optical Sciences, under the leadership of Editor-in-Chief William T. Rhodes, Georgia Institute of Technology, USA, and Georgia Tech Lorraine, France, provides an expanding selection of research monographs in all major areas of optics: lasers and quantum optics, ultrafast phenomena, optical spectroscopy techniques, optoelectronics, quantum information, information optics, applied laser technology, industrial applications, and other topics of contemporary interest. With this broad coverage of topics, the series is of use to all research scientists and engineers who need up-to-date reference books. The editors encourage prospective authors to correspond with them in advance of submitting a manuscript. Submission of manuscripts should be made to the Editor-in-Chief or one of the Editors. See also http://www.springer.de/phys/books/optical_science/

Editor-in-Chief William T. Rhodes Georgia Tech Lorraine 2-3, rue Marconi 57070 Metz, France Phone: +33 (387) 20 3922 Fax: +33 (387) 20 3940 E-mail: [email protected] URL: http://www.georgiatech-metz.fr http://users.ece.gatech.edu/ -wrhodes

Georgia Institute of Technology School of Electrical and Computer Engineering Atlanta, GA 30332-0250 Phone: +I 404 894 2929 Fax: +1 404 894 4641 E-mail: [email protected] URL: http://www.ece.gatech.edu/profiles/ /wrhodes/index.htm

Editorial Board Toshimitsu Asakura

Ferenc Krausz

Hokkai-Gakuen University Faculty of Engineering 1-1, Minami-26, Nishi 11, Chuo-ku Sapporo, Hokkaido 064-0926, Japan E-mail: [email protected]

Vienna University of Technology Photonics Institute Gusshausstrasse 27/387 1040 Wien, Austria Phone: +43 (1) 58801 38711 Fax: +43 (1) 58801 38799 E-mail: [email protected] URL: http://info.tuwien.ac.at/photonik! home/Krausz/CV.htm

Karl-Heinz Brenner Chair of Optoelectronics University of Mannheim Institute of Computer Engineering B6,26 68131 Mannheim, Germany Phone: +49 (621) 1812700 Fax: +49 (621) 181 2695 E-mail: [email protected] URL: http://www.ti.uni-mannheim.de/-oe

Theodor W. Hiinsch Max-Planck-Institut fiir Quantenoptik Hans-Kopfermann-Strasse 1 85748 Garching, Germany Phone: +49 (89) 2180 3211 or +49 (89) 32905 702 Fax: +49 (89) 32905 200 E-mail: [email protected] URL: http://www.mpq.mpg.de/-haensch

Horst Weber Technische Universitiit Berlin Optisches Institut Strasse des 17. Juni 135 10623 Berlin, Germany Phone: +49 (30) 314 23585 Fax: +49 (30) 314 27850 E-mail: [email protected] URL: http://www. physik. tu-berlin.de/institute/ OI/Weber/Webhome.htm

KazuakiSakoda

Optical Properties of Photonic Crystals With 95 Figures and 28 Tables

Springer

Professor Kazuaki Sakoda Hokka