Bliokh Konstantin Yu
Institute of Radio Astronomy, Kharkov, 61002, Ukraine.
Phys Rev Lett. 2006 Jul 28;97(4):043901. doi: 10.1103/PhysRevLett.97.043901.
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 of 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 the Magnus effect for optical vortices. Unlike the 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 are discussed.
我们考虑携带自旋角动量（偏振）和本征轨道角动量（IOAM）的傍轴光束在平滑非均匀各向同性介质中的传播。结果表明，IOAM的存在可以显著增强并重新排列以前仅与横波偏振相关的拓扑现象。特别地，预测了一种新型贝里相位的出现，它描述了光束结构沿弯曲光线的平行传输。我们推导了光线方程，证明了具有不同IOAM值的光束会发生分裂。这就是轨道角动量霍尔效应，类似于光学涡旋的马格努斯效应。与光子的自旋霍尔效应不同，它的量级可能大得多，并且是任何性质的波所固有的。文中还讨论了检测这些现象的实验方法。
