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Phys. Rev. B 64, 075313 (2001) [8 pages]

Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap

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M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos
Department of Physics and the Center for Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139

Received 30 January 2001; published 27 July 2001

Using numerical simulations, we demonstrate the construction of two-dimensional- (2D-) like defect modes in a recently proposed 3D photonic crystal structure. These modes, which are confined in all three dimensions by a complete photonic band gap, bear a striking similarity to those in 2D photonic crystals in terms of polarization, field profile, and projected band structures. It is expected that these results will greatly facilitate the observation of widely studied 2D photonic-crystal phenomena in a realistic, 3D physical system.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.64.075313
DOI:
10.1103/PhysRevB.64.075313
PACS:
42.70.Qs