Abstract

We propose a general analytical way to describe the fluorescence peculiarities in photonic liquid crystals (revealing themselves as an optical analog of the X-ray Kossel lines in conventional crystals) based at the localized optical edge modes existing in perfect photonic liquid crystal layers. The proposed approach allows us to predict theoretically the properties of optical Kossel lines in photonic liquid crystal (fluorescence polarization, spectral and angular fluorescence distribution, influence of the light absorption in liquid crystal, and, in particular, existing the optical Borrmann effect if the absorption in liquid crystal is locally anisotropic). Comparison of the theoretical results and the known experimental data shows that the theory reproduces sufficiently well the observation results on the fluorescence in photonic liquid crystals. For confirming a direct connection of the optical Kossel lines to the localized optical edge modes in perfect photonic liquid crystal, we propose the application of time-delayed techniques in studying the optical Kossel lines.

Highlights

  • There have been proposals to describe the X-ray Kossel lines [1,2,3], existing in X-ray diffraction at perfect single crystals and revealing themselves in the angular redistribution of X-ray emission exiting crystal close to the definite emission directions, in the framework of the theory of localized X-ray modes [4]

  • As a result of the present study one has a clear physical picture of the fluorescence peculiarities in cholesteric liquid crystals (CLCs) which are due to the conical edge mode (CEM) existing in perfect CLC layers

  • Concerning the fluorescence polarization properties in KLs, they are determined by the CEMs polarization properties and the fluorescence intensity maxima positions in KL spectra coincide with the consequent CEMs frequencies for different n numerating the CEMs

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Summary

Introduction

There have been proposals to describe the X-ray Kossel lines [1,2,3], existing in X-ray diffraction at perfect single crystals and revealing themselves in the angular redistribution of X-ray emission exiting crystal close to the definite emission directions, in the framework of the theory of localized X-ray modes [4]. The results of the theory of optical edge modes in the CLC [12], mainly in the framework of the dynamical two-wave approximation, are shortly presented and we discuss applications of the theory to the optical Kossel lines, including different ranges of the CLC sample parameters: non-absorbing CLCs, CLCs with an isotropic absorption, and CLCs with a locally anisotropic absorption revealing the Borrmann effect

Eigen Waves in CLC
Boundary
Conical Edge Modes
Absorbing CLCs
Calculated squaredsquared
KL Spectrum Influenced by the Borrmann Effect
Discussion
10. Conclusions
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