论文标题
手性介质中没有圆形双折射：单模折射的分析
No circular birefringence in a chiral medium: an analysis of single-mode refraction
论文作者
论文摘要
通常认为，右手循环极化（RCP）和左手圆形极化（LCP）波在各向同性手性培养基中以不同速度传播，称为圆形双发性双折射。在这里，我们证明事实并非如此。在获得手性介质表面的任何椭圆极化波的折射和反射系数后，我们得出了单模折射的条件。通过单模折射的过程，我们证明了在正常入射率下的折射RCP和折射的LCP波都可以表示为一对正交线性极化波的相干叠加，并同时旋转。结果，它们必须以与线性极化波相同的速度传播。还详细给出了物理解释。特别是，我们表明，手性介质中任何椭圆极化波的极化状态均随传播而旋转。这种旋转等于极化底座的旋转，而无需涉及琼斯向量的变化。 RCP和LCP波的旋转作为椭圆极化波的特殊情况，导致两个相反的阶段，好像它们在不同相速度以偏振状态不变的极化状态传播。
It is generally believed that the right-handed circularly polarized (RCP) and left-handed circularly polarized (LCP) waves in an isotropic chiral medium propagate at different velocities, known as circular birefringence. Here we show that this is not the case. After obtaining the refraction and reflection coefficients of any elliptically polarized wave at the surface of a chiral medium, we derive the conditions for single-mode refraction. By means of the process of single-mode refraction, we demonstrate that both the refracted RCP and the refracted LCP waves at normal incidence can be expressed as a coherent superposition of a pair of orthogonal linearly polarized waves that are rotated simultaneously. As a result, they must propagate at the same velocity as the linearly polarized waves. A physical interpretation is also given in detail. In particular, we show that the state of polarization of any elliptically polarized wave in a chiral medium is rotated with propagation. Such a rotation amounts to the rotation of polarization bases without involving the change of the Jones vector. The rotation of the RCP and LCP waves, as special cases of elliptically polarized waves, results in two opposite phases as if they propagated at different phase velocities with their polarization states transmitted unchanged.
