Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Chiral Optical Tamm States: Temporal Coupled-Mode Theory

Ivan V. Timofeev
* ORCID logo ,
Pavel S. Pankin
,
Stepan Ya. Vetrov
,
Vasily G. Arkhipkin
,
Wei Lee
ORCID logo ,
Victor Ya. Zyryanov
Version 1 : Received: 28 February 2017 / Approved: 28 February 2017 / Online: 28 February 2017 (13:51:30 CET)

A peer-reviewed article of this Preprint also exists.

Timofeev, I.V.; Pankin, P.S.; Vetrov, S.Y.; Arkhipkin, V.G.; Lee, W.; Zyryanov, V.Y. Chiral Optical Tamm States: Temporal Coupled-Mode Theory. Crystals 2017, 7, 113. Timofeev, I.V.; Pankin, P.S.; Vetrov, S.Y.; Arkhipkin, V.G.; Lee, W.; Zyryanov, V.Y. Chiral Optical Tamm States: Temporal Coupled-Mode Theory. Crystals 2017, 7, 113.

Abstract

The chiral optical Tamm state (COTS) is a special localized state at the interface of a handedness-preserving mirror and a structurally chiral medium such as a cholesteric liquid crystal or a chiral sculptured thin film. The spectral behavior of COTS, observed as reflection resonances, is described by the temporal coupled-mode theory. Mode coupling is different for two circular light polarizations because COTS has a helix structure replicating that of the cholesteric. The mode coupling for co-handed circularly polarized light exponentially attenuates with the cholesteric layer thickness since the COTS frequency falls into the stop band. Cross-handed circularly polarized light freely goes through the cholesteric layer and can excite COTS when reflected from the handedness-preserving mirror. The coupling in this case is proportional to anisotropy of the cholesteric and theoretically it is only anisotropy of magnetic permittivity that can ultimately cancel this coupling. These two couplings being equal results in a polarization crossover (the Kopp--Genack effect) for which a linear polarization is optimal to excite COTS. The corresponding cholesteric thickness and scattering matrix for COTS are generally described by simple expressions.

Keywords

optical Tamm state; cholesteric liquid crystal; handedness-preserving mirror

Subject

Physical Sciences, Optics and Photonics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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