14 March 2016 Analysis of dispersion relation in three-dimensional single gyroid
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Abstract
Gyroid is a type of three-dimensional chiral structures and has been found in many insect species. Besides the photonic crystal properties exhibited by gyroid structures, the chirality and gyroid network morphology also provide unique opportunities for manipulating propagation of light. In this work, we present studies based on finite-difference time domain (FDTD) method for analyzing the dispersion relation characteristics of dielectric single gyroid (SG) metamaterials. The band structures, transmission spectrum, dispersion surfaces, equifrequency contours (EFCs) of SG metamaterials are examined. Some interesting wave guiding characteristics, such as negative refraction and collimation, are presented and discussed. We also show how these optical properties are predicted by analyzing the EFCs at different frequencies. These results are crucial for the design of functional devices at optical frequencies based on dielectric single gyroid metamaterials.
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Pei-Lun Jheng, Yu-Chueh Hung, "Analysis of dispersion relation in three-dimensional single gyroid", Proc. SPIE 9756, Photonic and Phononic Properties of Engineered Nanostructures VI, 97561U (14 March 2016); doi: 10.1117/12.2212188; https://doi.org/10.1117/12.2212188
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