Abstract

We investigate from a theoretical point of view the photonic properties of a two dimensional photonic aperiodic crystal. These structures are obtained by removing the lattice points from a square arrangement, following the inflation rules emerging from the Thue-Morse sequence. The photonic bandgap analysis is performed by means of the density of states calculation. The mechanism of bandgap formation is investigated adopting the single scattering model, and the Mie scattering. The electromagnetic field distribution can be represented as quasi-localized states. Finally, a generalized method to obtain aperiodic photonic structures has been proposed.

© 2007 Optical Society of America

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History
Original Manuscript: July 31, 2007
Manuscript Accepted: October 1, 2007
Revised Manuscript: September 29, 2007
Published: November 2, 2007

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Author Affiliations

Luigi Moretti

DIMET-UNIRC

Vito Mocella

IMM-CNR

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