三维超材料的非线性电、磁响应特性

Effective nonlinear electromagnetic properties of 3-D metamaterials

理论研究了埋入在非线性介质中的由金属线和谐振环构成的具有三维周期性结构的超材料的有效电、磁响应,计算了该种超材料的有效磁导率和介电常数实部和虚部随外场的变化关系.结果表明,这种超材料有效磁导率和介电常数的实部对外磁场的响应具有回滞效应.在一定条件下,这种结构的属性可在右手材料、电单负材料与磁单负材料之间转换,且这种转换可适当选择在某些特定频率范围内的外磁场强度的方式控制.

We theoretically analyze the effective electronic and magnetic responses of a 3-dimensional nonlinear composite consisting of period!cal arrays of wires and split-ring resonators （SRRs） embedded into a nonlinear dielectric. We calculate the dependences of the real parts and imaginary parts of the effective permittivity and permeability of the structure on the varying external magnetic field strength. We demonstrate that both the real parts of the effective permittivity and permeability have hysteresis structures. We also discuss the switching of the composite among right-handed materials, epsilon-negative materials, and mu-negative materials under different conditions, which can be controlled by a proper choice of the external magnetic field strength （ intensity of incident electromagnetic waves） in a certain frequency range.