测量超颖表面引起的线性和非线性相移的希尔伯特变换方法
A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces
摘要：
动态操纵通过光束的相位的非线性超颖表面对于广泛的应用是令人感兴趣的。这种设备的受控操作需要在线性和非线性状态下精确测量光传输相位，这是一项具有实验挑战性的任务。在本文中，我们表明，这种相位信息可以直接从简单的传输测量中提取，使用希尔伯特变换的方法，消除了复杂的，干涉的实验装置的需要，并使直接测量的相位条件不适合其他传统的方法，如Z扫描测量。
英文摘要：
Nonlinear metasurfaces that dynamically manipulate the phase of a passing light beam are of interest for a wide range of applications. The controlled operation of such devices requires accurate measurements of the optical transmission phase in both the linear and nonlinear regime, an experimentally challenging task. In this paper we show that this phase information can be extracted directly from simple transmission measurements, using a Hilbert transform approach, removing the need for complicated, interferometric experimental set-ups, and enabling direct measurements of the phase in conditions not suitable for other traditional approaches, such Z-scan measurements.
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