Broadband transparent Huygens'' spaceplates

Francisco J. Díaz-Fernández, Luis Manuel Máñez-Espina, Ana Díaz-Rubio, Viktar Asadchy
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Abstract

Spaceplates have emerged in the context of nonlocal metasurfaces, enabling the compression of optical systems by minimizing the required empty space between their components. In this work, we design and analyze spaceplates that support resonances with opposite symmetries, operating under the so-called Huygens’ condition. Using the temporal coupled-mode theory, we demonstrate that the spatial compression provided by Huygens’ spaceplates is twice that of conventional single-resonance counterparts. Additionally, they can support broader operational bandwidths and numerical apertures, facilitating the reduction of chromatic aberrations. Moreover, Huygens’ spaceplates maintain nearly full transparency over a wide frequency and angular range, allowing their straightforward cascading for multi-frequency broadband operation. Finally, we propose a physical implementation of a Huygens’ spaceplate for optical frequencies based on a photonic crystal slab geometry.

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宽带透明惠更斯空间板
空间板是在非局部元表面的背景下出现的,它通过最大限度地减少光学系统各组成部分之间所需的空隙,实现了对光学系统的压缩。在这项研究中,我们设计并分析了在所谓惠更斯条件下运行的空间板,它支持具有相反对称性的共振。利用时间耦合模式理论,我们证明惠更斯空间板提供的空间压缩是传统单共振空间板的两倍。此外,它们还能支持更宽的工作带宽和数值孔径,有助于减少色差。此外,惠更斯空间板还能在很宽的频率和角度范围内保持近乎完全的透明度,从而可以直接级联实现多频宽带操作。最后,我们提出了一种基于光子晶体板几何形状的惠更斯空间板物理实现方法。
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