Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects

A new type of 2D square-lattice photonic crystal with different windmill-shaped defects is proposed. Based on the plane wave expansion method and super cell theory, the band gaps of defect models are numerically analyzed according to the symmetry. We aim at further reducing the defect symmetry of ph...

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Autores principales:	Liqiang Zhang, Chenxi Zhu, Sicheng Yu, Zhuoran Zhou, Daohan Ge
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Photonic crystal Fan-shaped defects Plane wave expansion method Band gap Physics QC1-999
Acceso en línea:	https://doaj.org/article/a1b9a36a49a0491ab304fa2ec217396b
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spelling	oai:doaj.org-article:a1b9a36a49a0491ab304fa2ec217396b2021-11-26T04:28:23ZBand gap of silicon photonic crystal with square-lattice and windmill-shaped defects2211-379710.1016/j.rinp.2021.105054https://doaj.org/article/a1b9a36a49a0491ab304fa2ec217396b2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721010421https://doaj.org/toc/2211-3797A new type of 2D square-lattice photonic crystal with different windmill-shaped defects is proposed. Based on the plane wave expansion method and super cell theory, the band gaps of defect models are numerically analyzed according to the symmetry. We aim at further reducing the defect symmetry of photonic crystals compared to previous studies and researching the effect of translation and rotation of different windmill-shaped defect structures on the transverse magnetic (TM) band gap. The results reveal that the translation distance of defects brings great impacts on the band gap of 2D square-lattice photonic crystals and the width of the TM band gap can be further expanded after rotating on the basis of translation. In addition, we discovery that the band gap of the model with even-numbered fan-shaped defects is wider than that of the model with odd-numbered fan-shaped defects. Among the five different defect models (three-wings, four-wings, five-wings, six-wings, rotating-cross), the four-wing windmill defect model produces the largest band gap, which reaches 5.307 × 10−2 (ɷa/2πc). This research is helpful to understand the band gap characteristics of photonic crystals, which will contribute to the design of photonic crystal devices.Liqiang ZhangChenxi ZhuSicheng YuZhuoran ZhouDaohan GeElsevierarticlePhotonic crystalFan-shaped defectsPlane wave expansion methodBand gapPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 105054- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Photonic crystal Fan-shaped defects Plane wave expansion method Band gap Physics QC1-999
spellingShingle	Photonic crystal Fan-shaped defects Plane wave expansion method Band gap Physics QC1-999 Liqiang Zhang Chenxi Zhu Sicheng Yu Zhuoran Zhou Daohan Ge Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
description	A new type of 2D square-lattice photonic crystal with different windmill-shaped defects is proposed. Based on the plane wave expansion method and super cell theory, the band gaps of defect models are numerically analyzed according to the symmetry. We aim at further reducing the defect symmetry of photonic crystals compared to previous studies and researching the effect of translation and rotation of different windmill-shaped defect structures on the transverse magnetic (TM) band gap. The results reveal that the translation distance of defects brings great impacts on the band gap of 2D square-lattice photonic crystals and the width of the TM band gap can be further expanded after rotating on the basis of translation. In addition, we discovery that the band gap of the model with even-numbered fan-shaped defects is wider than that of the model with odd-numbered fan-shaped defects. Among the five different defect models (three-wings, four-wings, five-wings, six-wings, rotating-cross), the four-wing windmill defect model produces the largest band gap, which reaches 5.307 × 10−2 (ɷa/2πc). This research is helpful to understand the band gap characteristics of photonic crystals, which will contribute to the design of photonic crystal devices.
format	article
author	Liqiang Zhang Chenxi Zhu Sicheng Yu Zhuoran Zhou Daohan Ge
author_facet	Liqiang Zhang Chenxi Zhu Sicheng Yu Zhuoran Zhou Daohan Ge
author_sort	Liqiang Zhang
title	Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
title_short	Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
title_full	Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
title_fullStr	Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
title_full_unstemmed	Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
title_sort	band gap of silicon photonic crystal with square-lattice and windmill-shaped defects
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/a1b9a36a49a0491ab304fa2ec217396b
work_keys_str_mv	AT liqiangzhang bandgapofsiliconphotoniccrystalwithsquarelatticeandwindmillshapeddefects AT chenxizhu bandgapofsiliconphotoniccrystalwithsquarelatticeandwindmillshapeddefects AT sichengyu bandgapofsiliconphotoniccrystalwithsquarelatticeandwindmillshapeddefects AT zhuoranzhou bandgapofsiliconphotoniccrystalwithsquarelatticeandwindmillshapeddefects AT daohange bandgapofsiliconphotoniccrystalwithsquarelatticeandwindmillshapeddefects
_version_	1718409919413092352

Band gap of silicon photonic crystal with square-lattice and windmill-shaped defects

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