Study of optical reflectance properties in 1D annular photonic crystal containing double negative (DNG) metamaterials

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• 作者：Sanjeev K Srivastava^a ; ^{sanjeev17th@yahoo.co.in" class="auth_mail" title="E-mail the corresponding author} ; Alireza Aghajamali^b
• 关键词：Annular photonic crystal ; Circular photonic crystal ; Cylindrical Bragg waves ; Double negative materials ; Metamaterials ; Reflectance spectra ; Transfer matrix method
• 刊名：Physica B: Physics of Condensed Matter
• 出版年：2016
• 出版时间：15 May 2016
• 年：2016
• 卷：489
• 期：Complete
• 页码：67-72
• 全文大小：1706 K

文摘

Theoretical investigation of photonic band gaps or reflection bands in one-dimensional annular photonic crystal (APC) containing double negative (DNG) metamaterials and air has been presented. The proposed structure consists of the alternate layers of dispersive DNG material and air immersed in free space. In order to study photonic band gaps we obtain the reflectance spectrum of the annular PC by employing the transfer matrix method (TMM) in the cylindrical waves for both TE and TM polarizations. In this work we study the effect of azimuthal mode number (m) and starting radius (ρ₀) on the three band gaps viz. zero averaged refractive index (zero-$\overline{n}$) gap, zero permittivity (zero-b2d1613e9650c16a41ab2f4a9ef3e1" title="Click to view the MathML source">ε$\epsilon$) and zero permeability (zero-μ$\mu$) gaps. It is found that for m≥1$m\ge 1$, zero-μ$\mu$ gap appears in TE mode and zero-b224a3cb798e2a51" title="Click to view the MathML source">ε$\epsilon$ gap appears in TM mode. The width of both zero-μ$\mu$ and zero-ε$\epsilon$ gap increases by increasing m   values, but the enhancement of zero-μ$\mu$ gap is more appreciable. Also, the effect of ρ₀ on the three band gaps (reflection bands) of annular PC structure at the given m  -number has been studied, for both TE and TM polarizations. The result shows that in both polarizations zero-ε$\epsilon$ and zero-μ$\mu$ gaps decreases when ρ₀ increases, whereas zero-$\overline{n}$ gap remains invariant.