| Citation: |
Cun Huanyao, Tan Renbing, Wang Rongli, Bai Han, Zhang Xi, Hu Jiaguang, Zhang Jin. Calculation of Band Gap Structures of 2D Square Lattice Photonic Crystals Using Plan Wave Expansion Method[J]. Journal of Semiconductors, 2006, In Press.
Cun H Y, Tan R B, Wang R L, Bai H, Zhang X, Hu J G, Zhang J. Calculation of Band Gap Structures of 2D Square Lattice Photonic Crystals Using Plan Wave Expansion Method[J]. Chin. J. Semicond., 2006, 27(13): 64.
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Calculation of Band Gap Structures of 2D Square Lattice Photonic Crystals Using Plan Wave Expansion Method
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Abstract
The band gap structures of two-dimensional (2D) square lattice photonic crystals are calculated using the plan wave expansion method.It gives a detail deduction for the electromagnetic wave theory of 2D photonic crystals and Bloch wave solutions in stratified periodic dielectric.Both TE and TM modes are considered in photonic crystals with no defects consisted of dielectric air cylinders and dielectric columns in air background.We get different dispersion curves,and designed two kinds of 2D photonic crystal periodical structures with band gaps in low-frequency ranges.It is found that the periodic dielectric constructed from air cylinders in Si matrix can generate an absolute photonic band gap in the infrared range for both TE and TM modes.The dependences of air cylinders or silicon rods radius and filling factors in the two kinds of photonic crystals are also studied in TM mode. -
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