THE ADIABATIC PHASE AND PANCHARATNAM PHASE FOR POLARIZED-LIGHT
THE ADIABATIC PHASE AND PANCHARATNAM PHASE FOR POLARIZED-LIGHT
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DOI：
10.1080/09500348714551321
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发表时间：
1987-11-01
影响因子：
1.3
通讯作者：
BERRY, MV
中科院分区：
文献类型：
--
作者：
BERRY, MV
在1955年Pancharatnam表明，一个周期性的变化状态的偏振的光是伴随着相移所确定的几何周期所代表的庞加莱球。相位的存在归功于Pancharatnam在不同极化状态之间连接的非传递性。利用旋量代数和2 × 2厄米特矩阵，建立了潘查拉特南位相与最近发现的慢循环量子系统相变之间的精确关系.偏振相位是Aharonov-Bohm效应的光学模拟。对于极化的缓慢变化，导致相位的连接从扭曲电介质的麦克斯韦方程导出。Pancharatnam的相位与圆偏振光的相位变化形成对比，圆偏振光的方向是循环的（例如，当在盘绕的光纤中引导时）。
In 1955 Pancharatnam showed that a cyclic change in the state of polarization of light is accompanied by a phase shift determined by the geometry of the cycle as represented on the Poincaré sphere. The phase owes its existence to the non-transitivity of Pancharatnam's connection between different states of polarization. Using the algebra of spinors and 2 × 2 Hermitian matrices, the precise relation is established between Pancharatnam's phase and the recently discovered phase change for slowly cycled quantum systems. The polarization phase is an optical analogue of the Aharonov-Bohm effect. For slow changes of polarization, the connection leading to the phase is derived from Maxwell's equations for a twisted dielectric. Pancharatnam's phase is contrasted with the phase change of circularly polarized light whose direction is cycled (e.g. when guided in a coiled optical fibre).