Investigation of self-collimation frequencies in 2-D photonic crystals

Guiming Lin; Xiyao Chen; Yufei Wang; Bo Ni; Junzhen Jiang; Yishen Qiu

doi:10.1117/12.799460

19 November 2008 Investigation of self-collimation frequencies in 2-D photonic crystals

Guiming Lin, Xiyao Chen, Yufei Wang, Bo Ni, Junzhen Jiang, Yishen Qiu

Proceedings Volume 7135, Optoelectronic Materials and Devices III; 71352Y (2008) https://doi.org/10.1117/12.799460
Event: Asia-Pacific Optical Communications, 2008, Hangzhou, China

Abstract

The self-collimation frequencies (SCFs) in two-dimensional photonic crystals (2-D PhC) have been investigated systematically by the plane-wave expansion method. In the wave-vector space, the square-lattice 2-D PhCs have some square-shaped equifrequency contours (EFCs) both for TE modes and for TM modes. Narrow-beam lights with these frequencies can propagate in the directions normal to the flat borders of the EFCs without any significant broadening, which is known as self-collimation effect. We consider the 2-D PhCs consisting of a square lattice of air cylinders in a dielectric material and the 2-D PhCs consisting of a square lattice of dielectric cylinders in air respectively. Calculation results show how SCFs of TM and TE modes change with the radius of cylinders and the refractive index of the material. These results can be applied to designing the PhC devices based on self-collimation effect.

Citation Download Citation

Guiming Lin, Xiyao Chen, Yufei Wang, Bo Ni, Junzhen Jiang, and Yishen Qiu "Investigation of self-collimation frequencies in 2-D photonic crystals", Proc. SPIE 7135, Optoelectronic Materials and Devices III, 71352Y (19 November 2008); https://doi.org/10.1117/12.799460

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KEYWORDS

Photonic crystals

Dielectrics

Finite-difference time-domain method

Light wave propagation

Refractive index

Radio propagation

Wave propagation

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