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Phys. Rev. E 64, 016609 (2001) [9 pages]

Photonic band edge effects in finite structures and applications to χ(2) interactions

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G. D’Aguanno1,2, M. Centini1,2, M. Scalora2,3, C. Sibilia1, Y. Dumeige4, P. Vidakovic4, J. A. Levenson4, M. J. Bloemer2, C. M. Bowden2, J. W. Haus5, and M. Bertolotti1
1INFM at Dipartimento di Energetica, Università di Roma “La Sapienza,” Via A. Scarpa, 16, I-00161 Rome, Italy
2U.S. Army Aviation and Missile Command, Weapons Sciences Directorate, AMSAM-RD-WS-ST, RD&E Center, Building 7804, Redstone Arsenal, Alabama 35898-5000
3Time Domain Corporation, Cummings Research Park 7057 Old Madison Pike, Huntsville, Alabama 35806
4Laboratoire LPN (CNRS UPR 20), 196 Avenue Henri Ravera, 9220 Bagneux, France
5Electro-Optics Program, University of Dayton, Dayton, Ohio 45469-0245

Received 24 October 2000; revised 7 December 2000; published 25 June 2001

Using the concept of an effective medium, we derive coupled mode equations for nonlinear quadratic interactions in photonic band gap structures of finite length. The resulting equations reveal the essential roles played by the density of modes and effective phase matching conditions necessary for the strong enhancement of the nonlinear response. Our predictions find confirmation in an experimental demonstration of significant enhancement of second harmonic generation near the photonic band edge. The measured conversion efficiency is in good agreement with the conversion efficiency predicted by the effective-medium model.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.016609
DOI:
10.1103/PhysRevE.64.016609
PACS:
42.70.Qs, 42.65.Ky, 42.25.Bs
 
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