Abstract
Nonideal 1D photonic crystal is modeled as a macroscopically homogeneous layered system (which is onedimensional Si-liquid crystal superlattice with two elements-layers in the cell) with randomly included admixture layers. The virtual crystal approach which is the method to describe quasi-particle excitations in disorder media is used. Peculiarities of the dependence of photonic band gap width on admixture layers concentration have been studied. The results are the evidence of substantial polariton spectrum reconstruction caused by presence of defect layers.
Highlights
At present, propagation of electromagnetic waves in thin films and layered crystal media [1,2,3,4], in particular, in photonic magnetic crystals [5,6,7] and composite crystals based on silicon and liquid crystal [8,9,10,11,12], are being investigated extensively
In [11], the forbidden photonic bands of a crystal made of alternating silicon and liquid crystal layers are calculated. 1D photonic band gap structures attract lot of attention of researches due to their omnifarious using for optical filtering [17], sensing [18] and so on
Our present study shows that optical characteristics of an imperfect superlattice may be significantly altered as a result of transformation of its polariton spectrum due to presence of admixture layers
Summary
Propagation of electromagnetic waves in thin films and layered crystal media [1,2,3,4], in particular, in photonic magnetic crystals [5,6,7] and composite crystals based on silicon and liquid crystal [8,9,10,11,12], are being investigated extensively. Of considerable interest are investigations of nonideal superlattices with an arbitrary number of impurity layers and of the dependence of the polariton spectrum on the concentration of corresponding defects, which make it possible to expand the capabilities of modeling the properties of such systems and to create layered materials with given characteristics. Investigation of properties of polariton spectra and the related physical quantities (density of elementary excitation states, characteristics of the normal electromagnetic waves etc.) in less simple systems requires application of more complex methods.
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