作为旋量的Jones向量及其在Poincaré球面上的表示
The Jones vector as a spinor and its representation on the Poincaré sphere
摘要：
研究表明，单色电磁平面波的电场的两个复数笛卡尔分量，具有${\rm e}^{{\rm i} (kz - ωt)}$形式的时间和空间依赖性，形成一个SU（2）旋量，它对应于表示波的偏振态和相位的庞加莱球的切向量。本文评述了几种光学滤波器效应在庞加莱球上的几何表示。它还表明，在部分偏振光束的情况下，相干矩阵定义的庞加莱球的两个直径相对的点。
英文摘要：
It is shown that the two complex Cartesian components of the electric field of a monochromatic electromagnetic plane wave, with a temporal and spatial dependence of the form ${\rm e}^{{\rm i} (kz - ωt)}$, form a SU(2) spinor that corresponds to a tangent vector to the Poincaré sphere representing the state of polarization and phase of the wave. The geometrical representation on the Poincaré sphere of the effect of some optical filters is reviewed. It is also shown that in the case of a partially polarized beam, the coherency matrix defines two diametrically opposite points of the Poincaré sphere.
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。
