Study on Linear Relationship between Refractive Index Difference and Band Gap Width of the 1-D PCs

Yun Gao Cai; Ying Hong Dong

doi:10.4028/www.scientific.net/AMM.872.3

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Study on Linear Relationship between Refractive Index Difference and Band Gap Width of the 1-D PCs
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 872Study on Linear Relationship between Refractive...

Study on Linear Relationship between Refractive Index Difference and Band Gap Width of the 1-D PCs

Abstract:

Set the Refractive Indexes of the One-Dimensional Photonic Crystals (1-D Pcs) were n₂ and n₃, Keeping n₂=1.5 Unchanged and Adjusting n₃ in the Range of 2.5--3.5, the Dispersion Curves were Obtained through Characteristic Matrix Method (CMM). The Results Show that when n₃ Increased from 2.5 to 3.5, the Band Gap Width Also Increased from about 0.086 to 0.140 Correspondingly. Furthermore, the Results Show that it’s a Linear Growth Process between the Refractive Index Difference and the Band Gap Width of the 1-D Pcs, for the First Propose Quantitatively, there is a Relationship Equation Δω=0.0537(Δn)+0.0336(Δn=n₃-n₂) Approximately.

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Applied Mechanics and Materials (Volume 872)

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3-7

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https://doi.org/10.4028/www.scientific.net/AMM.872.3

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October 2017

Authors:

Yun Gao Cai*, Ying Hong Dong

Keywords:

1-D PCs, Band Gap Width, Linear Relationship, Refractive Index Difference

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