光在金属界面传播的实折射角计算

The Calculation of the Refraction Angle of Light Propagation at Metal Interface

通过对光波矢量分别定义等幅面单位矢量和等相面单位矢量,根据光的传播表达式,分别运用相应的边界条件,并分别求出了光通过介质/金属、金属/介质后的实折射角.通过数值计算可知:对于第1种情况获得的结果与Born和Wolf通过广义的斯涅耳折射定律得到的结果一致;金属/介质的实折射角除了和入射角、介质的折射率、金属的复光学常数有关外,还与金属中等幅面单位矢量和等相面单位矢量的夹角有关,且当2个单位矢量之间的夹角满足一定的关系时,折射角随着入射角的增大出现先增大后减小的现象.

The light propagation within a metal and the refraction at the interface of metals are studied.On the basis of unit vectors denoting the planes of constant field amplitude and constant phase,respectively,the light propagation and attenuation are described by the complex refractive index of the metal and the angle between the unit vectors,with the expression for the light propagation.Subject to corresponding boundary conditions,refractive angles of the light through the metal/medium and medium/metal interface have been obtained.The numerical analysis shows that resutls for the metal/medium case agree with those the Born and Wolf using snell′s law.The angle of refraction metal/medium depend not only on the incident angle,the refractive index of medium,and the complex refractive index of metal,but also on the angle between the planes of constant amplitude and of constant phase.While the angle between the two unit vectors satisfies a certain relation,the angle of refraction increases first and then decreases with the increase of incident angle.