Roadmap on superoscillations
Roadmap on superoscillations
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DOI：
10.1088/2040-8986/ab0191
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发表时间：
2019-05-01
影响因子：
2.1
通讯作者：
Schwartz, Moshe
中科院分区：
文献类型：
--
作者：
Berry, Michael;Zheludev, Nikolay;Schwartz, Moshe
超振荡是带限函数，具有反直觉的性质，即它们可以在任意长的时间间隔内以任意快于其最快傅立叶分量的速度变化。现代研究起源于量子理论，但在雷达和光学方面有预期。数学的理解--仍在探索中--认识到函数在超振荡的地方是非常小的;这对信息论有影响。光学涡旋，亚波长显微镜和纳米科学的相关领域的应用，现在正在从理论和示范走向实践。该路线图对所有这些领域进行了调查，提供了背景，当前的研究，并预测了未来的发展。
Superoscillations are band-limited functions with the counterintuitive property that they can vary arbitrarily faster than their fastest Fourier component, over arbitrarily long intervals. Modern studies originated in quantum theory, but there were anticipations in radar and optics. The mathematical understanding-still being explored-recognises that functions are extremely small where they superoscillate; this has implications for information theory. Applications to optical vortices, sub-wavelength microscopy and related areas of nanoscience are now moving from the theoretical and the demonstrative to the practical. This Roadmap surveys all these areas, providing background, current research, and anticipating future developments.