Bandgap structure of optical Fibonacci lattices after light diffraction

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

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
• Public URL: https://durham-repository.worktribe.com/output/1596389