Negative Propagation Effects in Two-Dimensional Silicon Photonic Crystals
Author(s) -
Ping Jiang,
Kang Xie,
Huajun Yang,
Zhenhai Wu
Publication year - 2011
Publication title -
international journal of photoenergy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.426
H-Index - 51
eISSN - 1687-529X
pISSN - 1110-662X
DOI - 10.1155/2012/702637
Subject(s) - negative refraction , finite difference time domain method , refractive index , plane wave expansion method , optics , physics , plane wave expansion , square lattice , photonic crystal , scattering , eigenvalues and eigenvectors , silicon , hexagonal lattice , refraction , dispersion (optics) , hexagonal crystal system , square (algebra) , plane wave , condensed matter physics , mathematics , geometry , optoelectronics , quantum mechanics , chemistry , antiferromagnetism , ising model , crystallography
We demonstrated negative refraction effects of light propagating in two-dimensional square and hexagonal-lattice silicon photonic crystals (PhCs). The plane wave expansion method was used to solve the complex eigenvalue problems, as well as to find dispersion curves and equal-frequency contour (EFC). The finite-difference time-domain (FDTD) method was used to simulate and visualize electromagnetic wave propagation and scattering in the PhCs. Theoretical analyses and numerical simulations are presented. Two different kinds of negative refractions, namely, all-angle negative refraction (AANR) without a negative index and negative refraction with effective negative index, have been verified and compared
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