Study on Negative Refraction Effect and Slab Imaging Property of Photonic Crystals
|Keywords:||光子晶體;負折射;左手介質;平板;photonic crystals;negative refraction;metamaterials;slab||Issue Date:||2007||Abstract:||
Recently, there is a rapidly growing search for the negative refraction effect on the electromagnetic wave propagation in the photonic crystals. This concept of negative refraction has attracted gradually a lot of attention. This topic is related to the materials which are called left-handed materials (metamaterials), but, it appears rather differently from the negative refraction effect in the photonic crystals. Many articles are attributed to study the negative refraction in the left-handed materials and the negative refraction effect in the photonic crystals for providing a satisfactory perspective on the topic of negative refraction. However, there are some arguments for the physical mechanism of the negative refraction effect in the photonic crystals unsolved.
The main purpose of this work is to study the negative refraction effect in the photonic crystals, therefore, the mechanism of negative refraction effect of electromagnetic waves propagation in the photonic crystals was described and the slab imaging property was discussed in this study. To address this topic, it is always necessary to provide the simulations background with both the plane-wave expansion (PWM) methods, which is used for calculating the band structure, and the finite-difference time-domain (FDTD) methods, which is applied for calculating the propagation of electromagnetic waves in the finite domain.
Moreover, it is very important to introduce the equal frequency surface (EFS) method because the trajectory of the refraction can be predicted basically by this useful method. In addition, it was also demonstrated that the triangular lattice photonic crystals can lead to the unrestricted superlensing but the square lattice ones can not.
Besides, we studied that the slab imaging properties of the photonic crystals are strongly frequency dependent and the relation between the configuration of the photonic crystal slab and the position of the slab image. For example, the imaging efficiency diminishes when the thickness of the slab increases or the frequency increases in the certain range.
Lastly, the realization of negative refraction effect in the three-dimensional photonic crystals was studied and it might give the possibilities of three-dimensional photographing with the help of the refraction effect in the three-dimensional photonic crystals.
|Appears in Collections:||應用力學研究所|
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