Addition Theorem for Digital Coding Metamaterials,Advanced Optical Materials

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Addition Theorem for Digital Coding Metamaterials
Advanced Optical Materials ( IF 8.0 ) Pub Date : 2018-01-16 , DOI: 10.1002/adom.201701236
Rui Yuan Wu _{1,

2} , Chuan Bo Shi _{1,

2} , Shuo Liu _{1,

2} , Wei Wu _{1,

2} , Tie Jun Cui _{1,

2}

Affiliation

Coding representation of metamaterials builds up a bridge between the physical world and the digital world, making it possible to manipulate electromagnetic (EM) waves by digital coding sequences and reach field‐programmable metamaterials. Here, the coding space is extended to complex domain and proposed complex digital codes to provide closer essence of EM‐wave propagation. Based on the analytic geometry and complex variable functions, an addition theorem on complex coding is established, which reveals inherent connections among digital codes with different bits and enables all higher‐bit digital codes to be represented by the 1‐bit complex codes. According to the complex coding and addition theorem, multifunctional metamaterials can be directly designed and realized without considering mutual coupling. When two different coding patterns with different functions are added together via the addition theorem in complex form, the combined coding pattern will directly generate the two functions simultaneously without any perturbations. A series of realistic coding metasurfaces is presented to demonstrate the powerful and flexible performance of the complex coding and addition theorem for independent controls of EM waves to reach multiple functions. Good agreements between numerical simulations and experimental results prove the feasibility of the proposed concept and theorem in practical applications.

中文翻译：

数字编码超材料的附加定理

超材料的编码表示法在物理世界和数字世界之间架起了一座桥梁，从而可以通过数字编码序列操纵电磁波（EM）并到达现场可编程的超材料。在这里，编码空间扩展到了复杂域，并提出了复杂的数字代码，以提供更接近的EM波传播本质。基于解析几何和复变函数，建立了复数编码的一个定理，该定理揭示了具有不同比特的数字代码之间的固有联系，并使所有更高比特的数字代码都可以由1比特的复代码表示。根据复杂的编码加法则，可以直接设计和实现多功能超材料，而无需考虑相互耦合。当通过复数定理以复杂形式将具有不同功能的两个不同编码模式相加在一起时，组合的编码模式将直接同时直接生成两个函数，而不会产生任何干扰。提出了一系列切合实际的编码超表面，以证明复杂编码和加定理的强大而灵活的性能，它们可以独立控制EM波以达到多种功能。数值模拟与实验结果之间的良好一致性证明了所提出的概念和定理在实际应用中的可行性。提出了一系列切合实际的编码超表面，以证明复杂编码和加定理的强大而灵活的性能，它们可以独立控制EM波以达到多种功能。数值模拟与实验结果之间的良好一致性证明了所提出的概念和定理在实际应用中的可行性。提出了一系列切合实际的编码超表面，以证明复杂编码和加定理的强大而灵活的性能，它们可以独立控制EM波以达到多种功能。数值模拟与实验结果之间的良好一致性证明了所提出的概念和定理在实际应用中的可行性。

更新日期：2018-01-16

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