论文标题
关于适当设计的空间微观结构在随时间调制复合材料中传播的影响
On the effects of suitably designed space microstructures in the propagation of waves in time modulated composites
论文作者
论文摘要
由于在每次突然开关时产生的反射脉冲与传播脉冲之间的干扰，脉冲的脉冲幅度会在及时瞬间瞬间迅速变化，该脉冲的幅度会立即定期变化。在这里，我们通过在一维和二维情况下设计合适的相对时空微观结构来解决问题，以使散射波之间的干扰在每种构造材料中的整体幅度在时间上的整体幅度将是恒定的。值得注意的是，对于此处提出的几何形状，无论构成材料之间的阻抗，无论波速不匹配如何，脉冲都会以恒定的幅度传播。鉴于与波浪相关的能量会及时增加，这会产生利用脉冲稳定繁殖以积累收获能量的稳定传播的可能性。
The amplitude of a pulse that propagates in a homogeneous material whose properties are instantaneously changed periodically in time will undergo an exponential increase, due to the interference between the reflected and transmitted pulses generated at each sudden switch. Here we resolve the issue by designing suitable reciprocal PT-symmetric space-time microstructures both in the one-dimensional and two-dimensional case, so that the interference between the scattered waves is such that the overall amplitude of the wave will be constant in time in each constituent material. Remarkably, for the geometries here proposed, a pulse will propagate with constant amplitude regardless of the impedance between the constituent materials, and for some, regardless of the wave speed mismatch. Given that the energy associated with the wave will increase exponentially in time, this creates the possibility to exploit the stable propagation of the pulse to accumulate energy for harvesting.
