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Study of the Photonic Bandgap of Two-dimensional Photonic Crystal with Hexagonal Lattice

Xiaohua Cao

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Abstract

The plane-wave expansion method is used to calculate the band structure of a two-dimensional photonic crystal with hexagonal lattice,and the optium structural parameters of photonic crystals with the largest complete bandgap are obtained.Different materials have been used as background,and the photonic crystals of hexagonal lattice with circular,square and hexagonal air columns all display complete photonic band gaps,which may then serves as guidelines for experimental preparation and application of photonic crystals.

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What this paper is about

The plane-wave expansion method is used to calculate the band structure of a two-dimensional photonic crystal with hexagonal lattice,and the optium structural parameters of photonic crystals with the largest complete bandgap are obtained.Different materials have been used as background,and the photonic crystals of hexagonal lattice with circular,square and hexagonal air columns all display complete photonic band gaps,which may then serves as guidelines for experimental preparation and application of photonic crystals.

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Available abstract

The plane-wave expansion method is used to calculate the band structure of a two-dimensional photonic crystal with hexagonal lattice,and the optium structural parameters of photonic crystals with the largest complete bandgap are obtained.Different materials have been used as background,and the photonic crystals of hexagonal lattice with circular,square and hexagonal air columns all display complete photonic band gaps,which may then serves as guidelines for experimental preparation and application of photonic crystals.

Key concepts: Photonic crystal, Yablonovite, Hexagonal lattice, Hexagonal crystal system, Materials science, Band gap, Photonics, Plane wave expansion

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