A FDTD Study on Negative Refraction in Two-Dimensional Photonic Crystals
Date Issued
2008
Date
2008
Author(s)
Shih, Wei-Chou
Abstract
The researches about photonic crystals have been increased rapidly. A lot of the researches and articles about applications of photonic crystals have been presented. In the recent years, the negative refraction effect had been discussed extensively. The reason is that the phenomenon of negative refraction subverts the conventional optical theories. If this effect can be realized, it will lead to many dramatic phenomena. According to the documents about this topic, the negative refraction is realized by the left-handed materials whose permittivity and permeability are all negative. And the light propagation will be totally different. However, there are another group of researches assert that the physical properties of photonic crystals can also obtain the results of negative refraction, and the left-handed materials are needless.he main purpose of this thesis is to discuss the phenomenon of negative refraction inside the two-dimensional photonic crystals. In this article, we rebuild the models of photonic crystals to validate the negative refraction inside the photonic crystals and the effect of “The Perfect Lens.” In this thesis, the plane wave expansion (PWE) method is used to obtain the band structure of the photonic crystals and we use the finite-difference time-domain method (FDTD) to simulate the propagation of electromagnetic wave in the photonic crystals. We construct some models with different incident waves, dielectric constants, and different structures (square lattice and triangular lattice) to validate the negative refraction in two-dimensional photonic crystals.
Subjects
photonic crystal
negative refraction
FDTD method
The Perfect Lens
Type
thesis
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