揭示二次曲线的自旋光学
Revealing the spin optics of conics
摘要：
椭圆和双曲线是数学中两种著名的曲线，在各个领域有着广泛的应用，但它们在自旋光学中的性质和内在差异却鲜为人知。在这里，我们研究了这两条曲线的特殊的光学自旋性质，并建立了它们的焦点和入射光的自旋状态之间的联系。我们证明了光学自旋霍尔效应是椭圆的内在光学自旋特性，在椭圆中，不同自旋态的光子可以精确地分离到它的两个焦点中的每一个。而双曲线具有光学自旋选择效应，只有一种特定自旋态的光子才能聚集在它的焦点上。这些属性，然后在近场实验证明，通过安排在圆锥形的纳米缝。基于曲线的自旋性质，我们设计了具有多种功能的自旋等离子体器件。我们的结果揭示了圆锥曲线背后的内在光学自旋性质，为设计基于自旋的等离子体器件提供了一条途径。
英文摘要：
Ellipse and hyperbola are two well-known curves in mathematics with numerous applications in various fields, but their properties and inherent differences in spin optics are less understood. Here, we investigate the peculiar optical spin properties of the two curves and establish a connection between their foci and the spin states of incident light. We show that the optical spin Hall effect is the intrinsic optical spin property of ellipse, where photons with different spin states can be exactly separated to each of its two foci. While a hyperbola exhibits optical spin-selective effect, where only photons with one particular spin state can be accumulated at its foci. These properties are then experimentally demonstrated in near field by arranging nanoslits in conic shape. Based on the spin properties of the curves, we design spin-based plasmonic devices with various functionalities. Our results reveal the intrinsic optical spin properties behind conic curves and provide a route for designing spin-based plasmonic device.
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