Symmetry principles and theorems are of crucial importance in optics. Indeed, from one side, they allow obtaining direct insights into phenomena by eliminating unphysical interpretations; from the other side, they guide the designer of photonic components by narrowing down the parameter space of design variables. In this Letter, we illustrate a significant departure from the Babinet spectral complementarity in a very common and technologically relevant situation: that of a patterned conducting screen placed on a subwavelength dielectric slab. The symmetry property predicted by the Babinet theorem is correctly recovered for pairs of geometrically complementary–but less realistic in terms of applications–free-standing patterned screens. Our analysis merges experimental data with fully vectorial electromagnetic modeling and provides an alternative form of the Babinet theorem that highlights a connection with the concept of electromagnetic duality.

中文翻译：

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在亚波长介电平板支撑的超颖表面上偏离了巴比涅原理。

对称原理和定理在光学中至关重要。实际上，从一方面讲，它们允许通过消除非物理的解释来获得对现象的直接见解；另一方面，它们通过缩小设计变量的参数空间来指导光子组件的设计人员。在这封信中，我们说明了在非常常见且技术相关的情况下与巴比涅特光谱互补性的显着偏离：在亚波长电介质板上放置图案化导电屏的情况。Babinet定理所预测的对称性可以正确地用于成对的几何互补（但就应用而言不太现实）的独立式图案屏。