论文标题

在存在不均匀性质和阻抗不连续性的情况下,恒定强度的声学传播:赫米尔米亚人和非省溶液

Constant intensity acoustic propagation in the presence of non-uniform properties and impedance discontinuities: Hermitian and non-Hermitian solutions

论文作者

Norris, Andrew N.

论文摘要

如果密度和声学可压缩性假设复杂的值,则需要被动和主动机制,也可以被称为赫尔米尼亚和非富尔米特溶液,则可以通过不散射的非均匀介质传播声音传播。确定了两种类型的恒定强度波条件:首先,传播的声压具有恒定的幅度,而在第二个则能量通量保持恒定。通过平行的单极和偶极谐振器的组合解决了不反射或能量损失而无需反射或能量损失的基本问题的基本问题。该溶液取决于一个任意相角,可以选择该角度以使谐振器未受阻碍和被动,需要纯粹的遗传学声学元素。对于其他相角,两个要素之一必须是活跃的,而另一个元素必须是被动的,从而产生了损失/损失的非铁系统。这些结果证明,使用被动遗传学元素可以通过无需诉诸于活动的增益/损失能量机制,可以通过被动的遗传声音元素进行单向和相互传播。

Propagation of sound through a non-uniform medium without scattering is possible, in principle, if the density and acoustic compressibility assume complex values, requiring passive and active mechanisms, also known as Hermitian and non-Hermitian solutions, respectively. Two types of constant intensity wave conditions are identified: in the first the propagating acoustic pressure has constant amplitude, while in the second the energy flux remains constant. The fundamental problem of transmission across an impedance discontinuity without reflection or energy loss is solved using a combination of monopole and dipole resonators in parallel. The solution depends on an arbitrary phase angle which can be chosen to give a unique acoustic metamaterial with both resonators undamped and passive, requiring purely Hermitian acoustic elements. For other phase angles one of the two elements must be active and the other passive, resulting in a gain/loss non-Hermitian system. These results prove that uni-directional and reciprocal transmission through a slab separating two half spaces is possible using passive Hermitian acoustic elements without the need to resort to active gain/loss energetic mechanisms.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源