Metatronic circuits extend the concept of subwavelength-scaled lumped circuitry from electronics to optics and photonics, providing a distinctive design paradigm for versatile optical nanocircuits. Here, based on the design of optical nanocircuits using metatronics concept, we introduce a general approach for dispersion synthesis with metasurface to achieve high-selectivity filtering response. We theoretically and numerically demonstrate how to achieve basic circuit lumped elements in metatronics by tailoring the dispersion of metasurface at the frequency of interest. Then, following the Butterworth filter design method, the meticulously designed metasurface, acting as lumped elements, are properly stacked to achieve a near-rectangular filtering response. Compared to the conventional designs, the proposed approach can simultaneously combine high selectivity with the theoretically widest out-of-band rejection in a considerably simple and time-efficient manner of circuit assembly, similar to electronic circuits, without extensive numerical simulations and complex structures. This dispersion synthesis approach provides exciting possibilities for high-performance metasurface design and future integrated circuits and chips.

中文翻译：

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受 Metatronics 启发的高选择性超表面滤波器

Metatronic 电路将亚波长级集总电路的概念从电子学扩展到光学和光子学，为多功能光学纳米电路提供了独特的设计范例。在这里，基于使用超电子学概念的光学纳米电路设计，我们介绍了一种利用超表面进行色散合成的通用方法，以实现高选择性滤波响应。我们从理论上和数值上演示了如何通过在感兴趣的频率下定制超表面的色散来实现超电子学中的基本电路集总元件。然后，按照巴特沃斯滤波器设计方法，精心设计的超表面作为集总元件，正确堆叠以实现接近矩形的滤波响应。与传统设计相比，所提出的方法可以以相当简单且省时的电路组装方式（类似于电子电路）同时将高选择性与理论上最宽的带外抑制结合起来，而无需进行大量的数值模拟和复杂的结构。这种色散合成方法为高性能超表面设计以及未来的集成电路和芯片提供了令人兴奋的可能性。