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Bandgap structure of optical Fibonacci lattices after light diffraction

Kaliteevski, MA; Nikolaev, VV; Abram, RA; Brand, S

Authors

MA Kaliteevski

VV Nikolaev

RA Abram

S Brand



Abstract

The modification of the bandgap structure of optical Fibonacci lattices that arises from an increase in the system size is analyzed. It is found that there is a minimum critical size of the Fibonacci lattice necessary to form a photonic bandgap. The analysis of localized photonic modes of Fibonacci lattices shows that the removal of two layers of a lattice makes the lattice mirror-symmetric. The “method of oblique bands” is developed to analyze the bandgap structure of quasi-crystals. This method can also be applied to study two-and three-dimensional photonic and atomic quasi-crystals.

Citation

Kaliteevski, M., Nikolaev, V., Abram, R., & Brand, S. (2001). Bandgap structure of optical Fibonacci lattices after light diffraction. Optics and Spectroscopy, 91(1), 109-118. https://doi.org/10.1134/1.1388332

Journal Article Type Article
Publication Date Jul 1, 2001
Deposit Date Dec 16, 2010
Journal Optics and Spectroscopy
Print ISSN 0030-400X
Electronic ISSN 1562-6911
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 91
Issue 1
Pages 109-118
DOI https://doi.org/10.1134/1.1388332