Broe Jacob, Keller Ole
Institute of Physics, Aalborg University, Denmark.
J Opt Soc Am A Opt Image Sci Vis. 2002 Jun;19(6):1212-22. doi: 10.1364/josaa.19.001212.
It is predicted that the Goos-Hänchen effect can be resonantly enhanced by placing a metallic quantum well (ultrathin film) at the dielectric-vacuum (air) interface. We study the enhancement of the phenomenon, as it appears in frustrated total internal reflection with p-polarized light, both theoretically and numerically. Starting from boundary conditions for the electromagnetic field, which in a self-consistent manner take into account the quantum-well dynamics, we derive new expressions for the amplitude reflection and transmission coefficients of light, and from these the stationary phase approximation to the Goos-Hänchen shifts is obtained. It is shown that large peaks appear in the Goos-Hänchen shift below the critical angle in reflection, and these are located at the minima for the energy reflection coefficient. Both positive and negative shifts may occur, and the number of peaks depends on the gap width. To determine the accuracy of the simple stationary phase approximation, we carry out a rigorous stationary energy-transport calculation of the Goos-Hänchen shift. Although the overall agreement between the two approaches is good, the stationary phase approach mostly overestimates the peak heights. For a Gaussian incident beam, the resonance displacement of the reflected beam can be as large as the Gaussian width parameter. It is suggested that the possible relation between the Goos-Hänchen effect and the optical tunneling phenomenon in the two-prism configuration should be reinvestigated by depositing quantum wells on the glass-vacuum interfaces to obtain a better spatial photon localization.
据预测,通过将金属量子阱(超薄膜)置于电介质 - 真空(空气)界面,可以共振增强古斯 - 汉欣效应。我们从理论和数值两方面研究了该现象在p偏振光的受挫全内反射中的增强情况。从电磁场的边界条件出发,以自洽的方式考虑量子阱动力学,我们推导了光的振幅反射和透射系数的新表达式,并由此得到了古斯 - 汉欣位移的驻相近似值。结果表明,在反射中低于临界角时,古斯 - 汉欣位移会出现大的峰值,且这些峰值位于能量反射系数的最小值处。正负位移都可能出现,峰值的数量取决于能隙宽度。为了确定简单驻相近似法的准确性,我们对古斯 - 汉欣位移进行了严格的稳态能量传输计算。虽然两种方法的总体一致性较好,但驻相近似法大多高估了峰值高度。对于高斯入射光束,反射光束的共振位移可能与高斯宽度参数一样大。有人建议,应通过在玻璃 - 真空界面沉积量子阱来重新研究古斯 - 汉欣效应与双棱镜配置中的光学隧穿现象之间的可能关系,以获得更好的空间光子局域化。