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arXiv 1504.06361physics.opticscond-mat.mes-hall
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倏逝波的普适自旋-动量锁定

Universal spin-momentum locking of evanescent waves

Todd Van Mechelen, Zubin Jacob

摘要:

我们证明了倏逝电磁波的一个固有性质的存在:自旋-动量锁定,其中动量的方向从根本上锁定波的偏振。我们追踪这种现象的最终起源复杂的色散和因果关系的要求倏逝波。我们证明了在全内反射、表面态和光纤/波导中的每一种倏逝波都具有这种内在的自旋动量锁定。我们还介绍了一个普遍的右手三重态组成的动量,衰变和自旋的倏逝波。我们推导出了倏逝波的斯托克斯参数,揭示了一个有趣的结果-每一个快速衰减的倏逝波本质上是圆偏振的,其手性与传播方向有关。我们还表明存在一个基本的角度与全内反射(TIR),使传播波局部继承完美的圆偏振特性的倏逝波。当且仅当两种电介质的折射率之比超过黄金比例时,才会发生这种圆形TIR条件。我们的工作导致在各种纳米光子实验中对这种自旋动量锁定的统一理解,并揭示了与电子的量子自旋霍尔态的电磁类比。

英文摘要:

We show the existence of an inherent property of evanescent electromagnetic waves: spin-momentum locking, where the direction of momentum fundamentally locks the polarization of the wave. We trace the ultimate origin of this phenomenon to complex dispersion and causality requirements on evanescent waves. We demonstrate that every case of evanescent waves in total internal reflection, surface states and optical fibers/waveguides possesses this intrinsic spin-momentum locking. We also introduce a universal right-handed triplet consisting of momentum, decay and spin for evanescent waves. We derive the Stokes parameters for evanescent waves which reveal an intriguing result - every fast decaying evanescent wave is inherently circularly polarized with its handedness tied to the direction of propagation. We also show the existence of a fundamental angle associated with total internal reflection (TIR) such that propagating waves locally inherit perfect circular polarized characteristics from the evanescent wave. This circular TIR condition occurs if and only if the ratio of permittivities of the two dielectric media exceeds the golden ratio. Our work leads to a unified understanding of this spin-momentum locking in various nanophotonic experiments and sheds light on the electromagnetic analogy with the quantum spin hall state for electrons.

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