南京大学学报（自然科学版）2017，Vol.53Issue(4)：708-714,7.DOI:10.13232/j.cnki.jnju.2017.04.013
各向异性异质材料中的Goos-H(a)nchen位移研究
The Goos-H(a)nchen shift on the surface of anisotropic metamaterials
摘要
Abstract
In this paper,we constructed a dissipative uniaxial anisotropic metamaterial,in which the components of the permittivity and the permeability tensor were varying with the frequency.Then,the effective negative refractive index of the uniaxial anisotropic metamaterial,and the Goos-H(a)nchen(GH)shift on the surface of anisotropic quasi-left-handed meterial was studied in detail.The expressions of GH shift and penetration depth were given for transverse electric(TE)and transverse magnetic(TM)incident wave.The numerical simulation of the TE incident wave shows that the anisotropic metamaterial can be the quasi-left-handed material with negative refractive index(NI-QLHM)as the frequency is between 4 GHz and 6 GHz for μz<0(i.e.,the relative permeability of the uniaxial material parallel to the optical axial is negative).Moreover,the smaller of the permeability component |μz|,the easier to realize the total reflection in the frequency region of the NI-QLHM.And with increasing the frequency,the critical angle decreases,thus the region of incident angle corresponding to the total reflection increases,which leads to the decrease of the effective refractive index of the NI-QLHM.In what follows,we investigated the GH shifts and the penetration depth of the NI-QLHM.The penetration depth corresponds with the GH shifts,generally,the larger the penetration depth is,the greater the GH shifts are.Meanwhile,the GH shifts of the NI-QLHM are always negative,which is contrary to the ordinary material and is the unique physical property of the NI-QLHM.In the end,the influences of the frequency and the incident angle on the GH shifts and the penetration depth were discussed.The numerical results show that with increasing the frequency,the GH shifts decrease for the same of the incident angle,which means that with decreasing the refractive index,the GH shifts also decrease.It can be concluded that the negative GH shifts can be adjusted by changing the frequency and the angle of incidence.关键词
负折射率/准左手化材料/古斯-汉森位移/各向异性Key words
negative refractive index/quasi-left-handed material/Goos-H(a)nchen shift/anisotropy分类
数理科学引用本文复制引用
黄艳艳,于忠卫,吉正源,钱盈家..各向异性异质材料中的Goos-H(a)nchen位移研究[J].南京大学学报（自然科学版）,2017,53(4):708-714,7.基金项目
国家自然科学基金(11604163,11447229),江苏省大学生创新创业训练计划(201610304006Z) （11604163,11447229）
