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This paper investigates the spectral properties of a one-dimensional photonic crystal (PC) containing an inhomogeneous polymer- dispersed liquid crystal (PDLC) as a defect layer. Experimental results indicate that the voltage-induced reorientation of LC molecules between the light-scattering and transparent states in the PDLC enables the electrical tuning of the transmittance of defect-mode pea...

We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a twodimensional periodic medium; the defect is infinitely extended and aligned with one of the coordinate axes. This perturbation introduces guided mode spectrum inside the band gaps of the fully periodic, un...

The spectrum of clinical disease associated with specific defects in jejunal brush border membrane sodium/proton exchange is poorly defined and only two patients have been described so far. Jejunal brush border membrane transport studies were performed in a boy who presented with lethal familial protracted diarrhoea in the first few days of life. Using jejunal brush border membrane vesicles pre...

Abstract In this paper, we study the localized states of a generic quadratic fermionic chain with finite-range couplings and an inhomogeneity in hopping (defect) that breaks translational invariance. When defect vanishes, which represents open chain, obtain simple bulk-edge correspondence: zero-energy modes at ends are related to roots polynomial determined by Hamiltonian bulk. From result, def...

We consider three dimensional lossless periodic dielectric (photonic crystals) and acoustic media having a gap in the spectrum. If such a periodic medium is perturbed by a strong enough defect, defect eigenmodes arise, localized exponentially around the defect, with the corresponding eigenvalues in the gap. We use a modified Birman-Schwinger method to derive equations for these eigenmodes and c...

This study proposes a hybrid structure for a one-dimensional (1D) photonic crystal (PC) comprising a tristable cholesteric liquid crystal (CLC) as the defect layer. The CLC exhibits three optically stable states: the Grandjean planar (P), focal conic (FC), and uniform lying helix (ULH) configurations. Specifically, the reflection band of the CLC is set within the photonic bandgap (PBG) of the 1...