Electromagnetic Wave Propagation Characterization Of One-dimensional Photonic Crystals Containing Metamaterials

Metamaterial is a new kind of artificial material which is widely studied by many people.Different from nature material,metamaterial has many especial electromagnetic properties.By some special microstructure designs,it can be made to have negative permittivity(ε)or negative permeability(μ),or even double negative of bothεandμ. When the material has only one negative index,it is called single-negative material.The single-material has two different kinds:one is epsilon-negative(ENG)media withε＜0 butμ＞0 and another is mu-negative(MNG)withμ＜0 butε＞0.Recently,the single-negative material has attracted a great deal of attention due to its unusual electromagnetic properties.In this thesis,we investigate the optical and electromagnetic properties of the one dimensional structure consisting of single-negative materials.The main contents are organized as follows:Ⅰ.Characterization for defect modes of one-dimensional photonic crystals containing metamaterials.Transmission studies for one-dimensional photonic crystals containing single-negative materials inserted with multiple defects are presented.We find that the numbers and positions of the defect modes inside the zero-φ_effgap can be adjusted by changing the thicknesses or numbers of the defect layers.Then we study the characterization of the defect modes in different conditions.Numerical results show that these kinds of defect modes are nearly independent on incident angles and polarization,and almost insensitive to the scaling and disorder.In addition,we obtain the frequency equation for the defect modes based on the effective medium theory.Numerical results are in good agreement with those based on the transfer matrix method.Ⅱ.Goos-H(?)chen effect in the gap of photonic crystals containing single-negative materialsGoos-H(?)chen effects for one-dimensional photonic crystals containing single-negative materials are investigated.Positive or negative GH shifts will appear alternatively in the zero-φ_effgap by changing the polarization of the incident wave or the ratios of the thicknesses of the two different single-negative materials.When the numbers of the periods arrive some critical points,the GH shifts will be a constant.We theoretically explain these phenomena within the framework of the effective medium theory.When a defect layer is inserted,the both positive and negative GH shifts are enhanced at the defect modes.And the giant lateral shifts are almost insensitive to the incident angle.Ⅲ.The Goos-H(?)chen shifts of the nonlinear defect in the one-dimensional structure composed of single negative materialsWe investigate the GH shifts in the one-dimensional crystals containing single-negative when a nonlinear defect layer is inserted.It is found that both in the the zero-φ_effgap and in the Bragg gap,the GH shifts in such structure can exhibits bistable behavior.More specially,in the zero-φ_effgap,both the negative and positive bistability lateral shifts will occur with changing the polarization of the incident waves.And the peak of the GH shifts is almost invariant to the incident angle.But in the Bragg gap,they are seriously affected by the incident angle.By studying the relation of the phase(φ)and the incident angle(θ),we find that theφwill have a jumping-variation near the switch-up and switch-down threshold values.