By Obayya, Salah
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Additional info for Computational Liquid Crystal Photonics : Fundamentals, Modelling and Applications
Electromagn. , 41, 83–106. , Marciniak, M. and Szoplik, T. (eds) (2008) Photonic Crystals: Physics and Technology, Springer, Berlin. B. et al. (2011) Fabrication of Two‐ and Three‐Dimensional Photonic Crystals and Photonic Quasi‐Crystals by Interference Technique, InTech, Croatia.  Vogelaar, L. (2001) Large area photonic crystal slabs for visible light with waveguiding defect structures: fabrication with focused ion beam assisted laser interference lithography. Adv. , 13, 1551. C. J. (2001) On‐chip natural assembly of silicon photonic bandgap crystals.
2015) Ultra‐high tunable liquid crystal‐plasmonic photonic crystal fiber polarization filter. Opt. Express, 23, 7007–7020. 1 Introduction Liquid crystals (LCs)  are materials with an intermediate phase between the solid and fluid state. 1, are mobile with no orientational or positional order, whereas the solid‐state molecules have no mobility with long‐range orientational and positional order. On the other hand, the LC molecules can be oriented as crystals with the ability to flow in a liquid‐like way with a combination of both order and mobility.
7 shows the inverse woodpile 3D structure that consists of two sets of pores perpendicular to each other. 3 Photonic Band Calculations In this section, we study the propagation of electromagnetic waves in PhCs extending infinitely along all directions of the space. A PhC is characterized by a dielectric constant εr(x, y, z) assumed to be real and periodic along N directions (with N = 1, 2, or 3) and invariant along the other N − 3 orthogonal directions. The considered crystals are made of nonmagnetic materials.