论文标题
通用威利斯超材料的基本原则
Fundamental principles for generalized Willis metamaterials
论文作者
论文摘要
超材料的势头与其应变构成相结合的超材料在工程目的的波浪操作中显示出希望，被称为威利斯材料。他们是使用有效的培养基理论发现的，该理论表明他们的响应在时空和时间上是无本地的。最近，我们概括了这一理论以解释压电性，并证明了有效的动量可以构成依赖电场，从而扩大了超材料的设计空间。在这里，由于被动性，互惠性和因果关系，我们建立了对这种广义威利斯材料有效特性的数学限制。建立这些限制是具有基本意义的，因为它们测试了理论和实验结果的有效性和应用重要性，因为它们为潜在设备可能实现的最大响应提供了基本界限。
Metamaterials whose momentum is constitutively coupled with their strain show promise in wave manipulation for engineering purposes and are called Willis materials. They were discovered using an effective medium theory which shows that their response is non-local in space and time. Recently, we generalized this theory to account for piezoelectricity and demonstrated that the effective momentum can depend constitutively on the electric field, thereby enlarging the design space for metamaterials. Here, we develop the mathematical restrictions on the effective properties of such generalized Willis materials, owing to passivity, reciprocity, and causality. Establishing these restrictions is of fundamental significance, as they test the validity of theoretical and experimental results and applicational importance since they provide elementary bounds for the maximal response that potential devices may achieve.
