单轴各向异性左手介质表面的Goos-Hnchen位移

The Goos-Hnchen shift on the surface of uniaxially anisotropic left-handed materials

分析了单轴各向异性左手介质表面的Goos-Hanchen位移,分别给出了光轴与两种介质的界面垂直和平行情形下的Goos-Hanchen位移解析表达式,并分析了Goos-Hanchen位移产生的条件以及位移的正负情况.还采用菲涅尔近似的方法给出了临界角附近的Goos-Hanchen位移表达式,结果表明临界角附近的Goos-Hanchen位移是入射光的束腰半径和入射角的函数,并且给出了临界角入射时Goos-Hanchen位移的较为简洁的近似表达式,这样就在整个角度的取值范围内都给出了Goos-Hanchen位移的表达式.

In this paper, the Goos-Haonchen shift on the interface of uniaxially anisotropic left-handed materials is investigated exhaustively, and the analytical expressions of Goos-Haonchen shift is presented for the cases of the optical axis being perpendicular and parallel to the interface, respectively. Moreover, the conditions for the existence and the sign of Goos-Haonchen shift are determined. Under Fresnel approximation, the expression of Goos-Haonchen shift around the critical angle is obtained, and the result shows that the shift around the critical angle is a function of the beam waist and incident angle. A simple approximate expression of the lateral shift with incident angle equals the critical angle is also presented. Thus, the general expression of Goos-Haonchen shift for any incident angles is obtained.