Group-theoretical description of the triangular air-silica photonic crystal out of plane propagation

M. Løkke; N.E. Christensen; Jesper Riishede; Anders Overgaard Bjarklev

Group-theoretical description of the triangular air-silica photonic crystal out of plane propagation

M. Løkke, N.E. Christensen, Jesper Riishede, Anders Overgaard Bjarklev

Aarhus University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The method of assigning irreducible representations to modes in three-dimensional photonic structures is applied to the two-dimensional triangular air-silica lattice with out-of-plane wave propagation. In particular prediction of spatial symmetries of the crystal modes is addressed. We show how the photonic bands are affected by different rod radii and out-of-plane components from a group-theoretical point of view. One particular defect mode is analyzed and the structure which is optimal for air-guidance is found. $CPY 2004 Optical Society of America.

Original language	English
Journal	Optics Express
Volume	12
Issue number	25
Pages (from-to)	6299-6312
ISSN	1094-4087
Publication status	Published - 2004

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title = "Group-theoretical description of the triangular air-silica photonic crystal out of plane propagation",

abstract = "The method of assigning irreducible representations to modes in three-dimensional photonic structures is applied to the two-dimensional triangular air-silica lattice with out-of-plane wave propagation. In particular prediction of spatial symmetries of the crystal modes is addressed. We show how the photonic bands are affected by different rod radii and out-of-plane components from a group-theoretical point of view. One particular defect mode is analyzed and the structure which is optimal for air-guidance is found. \$CPY 2004 Optical Society of America.",

author = "M. L{\o}kke and N.E. Christensen and Jesper Riishede and Bjarklev, \{Anders Overgaard\}",

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T1 - Group-theoretical description of the triangular air-silica photonic crystal out of plane propagation

AU - Løkke, M.

AU - Christensen, N.E.

AU - Riishede, Jesper

AU - Bjarklev, Anders Overgaard

PY - 2004

Y1 - 2004

N2 - The method of assigning irreducible representations to modes in three-dimensional photonic structures is applied to the two-dimensional triangular air-silica lattice with out-of-plane wave propagation. In particular prediction of spatial symmetries of the crystal modes is addressed. We show how the photonic bands are affected by different rod radii and out-of-plane components from a group-theoretical point of view. One particular defect mode is analyzed and the structure which is optimal for air-guidance is found. $CPY 2004 Optical Society of America.

AB - The method of assigning irreducible representations to modes in three-dimensional photonic structures is applied to the two-dimensional triangular air-silica lattice with out-of-plane wave propagation. In particular prediction of spatial symmetries of the crystal modes is addressed. We show how the photonic bands are affected by different rod radii and out-of-plane components from a group-theoretical point of view. One particular defect mode is analyzed and the structure which is optimal for air-guidance is found. $CPY 2004 Optical Society of America.

M3 - Journal article

SN - 1094-4087

VL - 12

SP - 6299

EP - 6312

JO - Optics Express

JF - Optics Express

IS - 25

ER -

Group-theoretical description of the triangular air-silica photonic crystal out of plane propagation

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