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      Coupling of Defect Modes in Cholesteric Liquid Crystals Separated by Isotropic Polymeric Layers

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          Abstract

          Cholesteric liquid crystal structures with multiple isotropic defect layers exhibit localized optical modes (defect modes). Coupling effects between these modes were simulated using the finite difference time domain method. Analogous to the well-known result of the tight-binding approximation in solid state physics, splitting of the defect modes takes place, as soon as the structure contains more than one defect layer. The dispersion relation of the mini-bands forming within the photonic band gap of the structure is calculated numerically. The structures might have promising applications for multiwavelength filters and low-threshold lasers.

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          Photonic crystals

          J.D. Joannopoulos, Pierre Villeneuve, Shanhui Fan (1997)
          Article 0 comments Cited 304 times – based on 0 reviews     Review now
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            Low-threshold lasing at the edge of a photonic stop band in cholesteric liquid crystals.

            V I Kopp, B. Fan, H K Vithana … (1998)
            Low-threshold lasing is observed at the edge of the stop band of a one-dimensional structure-a dye-doped cholesteric liquid-crystal film. The mode closest to the edge has the lowest lasing threshold. The rates of spontaneous and stimulated emission are suppressed within the stop band and enhanced at the band edge. The ratio of right to left circularly polarized spontaneous emission is in good agreement with calculated density of photon states.
            Article 0 comments Cited 121 times – based on 0 reviews     Review now
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              Tight-binding description of the coupled defect modes in three-dimensional photonic crystals

              Sedat Ozbay, Ismet Bayindir, B Temelkuran (2000)
              We have experimentally observed the eigenmode splitting due to coupling of the evanescent defect modes in three-dimensional photonic crystals. The splitting was well explained with a theory based on the classical wave analog of the tight-binding (TB) formalism in solid state physics. The experimental results were used to extract the TB parameters. A new type of waveguiding in a photonic crystal was demonstrated experimentally. A complete transmission was achieved throughout the entire waveguiding band. We have also obtained the dispersion relation for the waveguiding band of the coupled periodic defects from the transmission-phase measurements and from the TB calculations.
              Article 0 comments Cited 84 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Journal ID (nlm-ta): Polymers (Basel)
                Journal ID (iso-abbrev): Polymers (Basel)
                Journal ID (publisher-id): polymers
                Title: Polymers
                Publisher: MDPI
                ISSN (Electronic): 2073-4360
                Publication date (Electronic): 23 July 2018
                Publication date Collection: July 2018
                Volume: 10
                Issue: 7
                Electronic Location Identifier: 805
                Affiliations
                [1 ]The MOE Key Laboratory of Weak-Light Nonlinear Photonics, TEDA Institute of Applied Physics and School of Physics, Nankai University, Tianjin 300457, China; gaosh@ 123456mail.nankai.edu.cn (S.G.); yanzizhai@ 123456mail.nankai.edu.cn (Y.Z.); 2120170195@ 123456mail.nankai.edu.cn (X.S.); 2120170196@ 123456mail.nankai.edu.cn (J.W.); romano.rupp@ 123456univie.ac.at (R.A.R.); jjxu@ 123456nankai.edu.cn (J.X.)
                [2 ]Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19 and Department of Complex Matter, J. Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia
                [3 ]Faculty of Physics, Vienna University, Boltzmanngasse 5, A-1090 Wien, Austria
                [4 ]Synergetic Innovation Center of Chemical Science and Engineering, Tianjin 300071, China
                Author notes
                [* ]Correspondence: zxz@ 123456nankai.edu.cn (X.Z.); irena.drevensek@ 123456ijs.si (I.D.-O.); Tel.: +86-022-23501743 (X.Z.)
                Author information
                https://orcid.org/0000-0001-8128-3273
                Article
                Publisher ID: polymers-10-00805
                DOI: 10.3390/polym10070805
                PMC ID: 6403987
                SO-VID: 166a1099-26b9-4075-8b40-2f836f0399b6
                Copyright © © 2018 by the authors.
                License:

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                Date received : 05 June 2018
                Date accepted : 20 July 2018
                Categories
                Subject: Article

                Keywords: cholesteric liquid crystals,optical defect modes,mode coupling,photonic density of state
                Data availability:
                Keywords: cholesteric liquid crystals, optical defect modes, mode coupling, photonic density of state

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