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arXiv 2205.04058physics.optics
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手性介质中不存在圆双折射:单模折射分析

No circular birefringence in a chiral medium: an analysis of single-mode refraction

Zhi-Juan Hu, Chun-Fang Li

AI总结:

本文证明各向同性手性介质中不存在圆双折射,通过单模折射分析,指出RCP和LCP波实为旋转的线偏振波叠加,以相同速度传播,偏振旋转仅源于基的旋转。

摘要:

人们普遍认为,各向同性手性介质中的右旋圆偏振(RCP)波和左旋圆偏振(LCP)波以不同速度传播,这被称为圆双折射。本文表明事实并非如此。在获得任意椭圆偏振波在手性介质表面的折射和反射系数后,我们推导了单模折射的条件。通过单模折射过程,我们证明在正入射时,折射的RCP波和折射的LCP波都可以表示为同时旋转的一对正交线偏振波的相干叠加。因此,它们必须以与线偏振波相同的速度传播。文中还给出了详细的物理解释。特别地,我们表明手性介质中任意椭圆偏振波的偏振态随传播而旋转。这种旋转相当于偏振基的旋转,而不涉及琼斯向量的变化。作为椭圆偏振波的特殊情况,RCP和LCP波的旋转导致两个相反的相位,仿佛它们以不同的相速度传播而偏振态保持不变。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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