Band gap studies of triangular 2D photonic crystals with varying pore roundness

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• 作者：Hillebrand ; R. ; Hergert ; W.
• 关键词：A. Semiconductors ; B. Nanofabrications ; D. Band structure ; D. Optical properties
• 刊名：Solid State Communications
• 出版年：2000
• 期刊代码：101_00381098
• 类别：ms
• 出版时间：June 19, 2000
• 卷：115
• 期：5
• 页码：227-232
• 文件大小：166 K

摘要

Photonic crystals (PCs) are theoretically studied in order to correlate the structural parameters with the resulting electro-magnetic behaviour. Two-dimensional (2D) PCs of dielectric media are routinely assumed to be formed by circular rods or pores, respectively. Main topics of the paper are band gap modifications (TM- and TE-polarization) for pores of deteriorating roundness, approximated by ellipses of varying eccentricity. On the basis of Maxwell's equations and a ‘plane wave expansion’, band structures are computed for triangular 2D lattices of air columns in silicon. The results are compared with calculations for circular air columns of varying filling factors.