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• Ignatov, A
• Merzlikin, A
• Levy, M
• Vinogradov, A
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• Merzlikin, A
• Levy, M
• Vinogradov, A
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• Ignatov, A
• Merzlikin, A
• Levy, M
• Vinogradov, A

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Materials 2012, 5(6), 1055-1083; doi:10.3390/ma5061055

Review

Formation of Degenerate Band Gaps in Layered Systems

Anton I. Ignatov ^1,* , Alexander M. Merzlikin ¹ , Miguel Levy ²  and Alexey P. Vinogradov ¹

¹ Institute for Theoretical and Applied Electromagnetics, Russian Academy of Sciences, Izhorskaya Street 13, Moscow 125412, Russia ² Department of Physics, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295, USA

* Author to whom correspondence should be addressed.

Received: 3 April 2012; in revised form: 30 May 2012 / Accepted: 31 May 2012 / Published: 7 June 2012

(This article belongs to the Special Issue Photonic Materials and Applications)

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Abstract: In the review, peculiarities of spectra of one-dimensional photonic crystals made of anisotropic and/or magnetooptic materials are considered. The attention is focused on band gaps of a special type—the so called degenerate band gaps which are degenerate with respect to polarization. Mechanisms of formation and properties of these band gaps are analyzed. Peculiarities of spectra of photonic crystals that arise due to the linkage between band gaps are discussed. Particularly, it is shown that formation of a frozen mode is caused by linkage between Brillouin and degenerate band gaps. Also, existence of the optical Borrmann effect at the boundaries of degenerate band gaps and optical Tamm states at the frequencies of degenerate band gaps are analyzed.

Keywords: anisotropic photonic crystal; magneto-photonic crystal; band gap; frozen mode; Borrmann effect; optical Tamm state

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