Salem Mohamed A, Bağcı Hakan
J Opt Soc Am A Opt Image Sci Vis. 2013 Jun 1;30(6):1172-9. doi: 10.1364/JOSAA.30.001172.
We investigate the behavior of full-vector electromagnetic Bessel beams obliquely incident at an interface between two electrically different media. We employ a Fourier transform domain representation of Bessel beams to determine their behavior upon reflection and transmission. This transform, which is geometric in nature, consists of elliptical support curves with complex weighting associated with them. The behavior of the scattered field at an interface is highly complex, owing to its full-vector nature; nevertheless, this behavior has a straightforward representation in the transform domain geometry. The analysis shows that the reflected field forms a different vector Bessel beam, but in general, the transmitted field cannot be represented as a Bessel beam. Nevertheless, using this approach, we demonstrate a method to propagate a Bessel beam in the refractive medium by launching a non-Bessel beam at the interface. Several interesting phenomena related to the behavior of Bessel beams are illustrated, such as polarized reflection at Brewster's angle incidence, and the Goos-Hänchen and Imbert-Federov shifts in the case of total reflection.
我们研究了全矢量电磁贝塞尔光束斜入射到两种电学性质不同的介质界面时的行为。我们采用贝塞尔光束的傅里叶变换域表示来确定它们在反射和透射时的行为。这种本质上是几何变换的变换由具有与之相关的复权重的椭圆支撑曲线组成。由于其全矢量性质，界面处散射场的行为非常复杂；然而，这种行为在变换域几何中有直接的表示。分析表明，反射场形成了一个不同的矢量贝塞尔光束，但一般来说，透射场不能表示为贝塞尔光束。尽管如此，使用这种方法，我们展示了一种通过在界面处发射非贝塞尔光束来在折射介质中传播贝塞尔光束的方法。文中说明了与贝塞尔光束行为相关的几个有趣现象，例如布儒斯特角入射时的偏振反射，以及全反射情况下的古斯 - 汉欣位移和因伯特 - 费德洛夫位移。
