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基于不变嵌入理论,推导出电磁波入射到非均匀介质平板,反射系数和透射系数的耦合波方程;利用稳态相位方法,分析了透射波Goos-Hnchen(GH)位移的性质。通过数值计算,研究了入射角和介质厚度对透射率及GH位移的影响。结果显示,介质厚度一定时,透射率在特定角度具有极大值,对应的透射波发生负的GH位移,并且位移绝对值最大;入射角不变时,透射率和GH位移随厚度呈周期性变化,厚度增加,透射率呈下降趋势,但GH位移呈增大趋势。GH位移受入射角和介质厚度的影响很大,因此,可以通过调节厚度和入射角,获得合适的透射率和GH位移。
Based on the invariant embedding theory, the coupled wave equation of electromagnetic wave incident on the plate, reflection coefficient and transmission coefficient of inhomogeneous medium is deduced. By using the steady-state phase method, the properties of Goos-Hönchen (GH) displacement of transmitted wave are analyzed. Through the numerical calculation, the effects of incident angle and medium thickness on the transmittance and GH displacement were studied. The results show that the transmissivity has a maximum value at a certain angle and the corresponding transmitted wave undergoes a negative GH shift with a constant absolute value of the maximum when the medium thickness is constant. When the incident angle is constant, the transmittance and the GH shift are periodic with the thickness Changes, the thickness increases, the transmittance showed a downward trend, but the GH displacement showed an upward trend. The GH shift is strongly influenced by the incident angle and the medium thickness, so proper transmittance and GH shift can be obtained by adjusting the thickness and angle of incidence.