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arXiv physics/0603072physics.opticscond-mat.other
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涡旋光束的几何光学:Berry相位和轨道Angular Momentum霍尔效应

Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect

K. Yu. Bliokh

摘要:

研究了具有自旋角动量(极化)和内禀轨道角动量(IOAM)的傍轴光束在光滑非均匀各向同性介质中的传输。结果表明,IOAM的存在下,可以显着地增强和重新排列的拓扑现象,以前被认为是唯一的连接到横波的偏振。特别是,一个新的类型的Berry相,描述了平行运输的光束结构沿弯曲的射线的外观进行了预测。我们推导了不同IOAM值下光束分裂的光线方程。这是轨道角动量霍尔效应,类似于光学涡旋的马格纳斯效应。与最近发现的光子自旋霍尔效应不同,它的幅度可以大得多,并且是任何性质的波所固有的。实验手段来检测的现象进行了讨论。

英文摘要:

We consider propagation of a paraxial beam carrying the spin angular momentum (polarization) and intrinsic orbital angular momentum (IOAM) in a smoothly inhomogeneous isotropic medium. It is shown that the presence of IOAM can dramatically enhance and rearrange the topological phenomena that previously were considered solely in connection to the polarization of transverse waves. In particular, the appearance of a new-type Berry phase that describes the parallel transport of the beam structure along a curved ray is predicted. We derive the ray equations demonstrating the splitting of beams with different values of IOAM. This is the orbital angular momentum Hall effect, which resembles Magnus effect for optical vortices. Unlike the recently discovered spin Hall effect of photons, it can be much larger in magnitude and is inherent to waves of any nature. Experimental means to detect the phenomena is discussed.

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