设计具有完美传输的多重散射声学介质用于非阿贝尔编织及更广泛领域
Tailoring reflectionless complex media for non-Abelian braiding of acoustic modes
AI总结：
本研究提出一种基于多重散射的方法，设计具有完美传输的复杂介质，实现非阿贝尔编织及任意单位运算，拓展了声学和波型应用的控制能力。
摘要：
在复杂介质中多重散射的波可以被利用和定制，用于声波和光波中的多种现象。尽管时间反演传播和波前塑造等技术带来了巨大进展，但对传输矩阵的完全控制仍然是重大挑战。在本工作中，我们提出了一种基于多重散射的方法，设计具有单位传输矩阵的复杂介质，其结构可任意设定。因此，通过此类介质的波的完美传输执行单位运算。基于这一原理，我们通过多重散射在声学波导中实验展示了多个波导模式的编织，并展示了来自不同复杂介质串联的非阿贝尔特性。此外，我们证明该原理可以扩展用于实现超越编织的任意单位运算。我们的方案利用广义威根-史密斯算子来设计最优的声学复杂介质，具有接近任意目标功能。该方案在声学之外也具有广泛的应用，对其他波型也有广泛的意义。我们的结果展示了对多重散射波前所未有的控制能力，与需要精确控制传播的应用相关，如多路复用通信、基于波的逻辑运算和计算。
英文摘要：
Multiple scattering of sound and light can be tailored for diverse applications. Despite the great progress enabled by technologies such as time-reversal propagation and wavefront shaping, the full control of the transmission matrix remains a significant challenge. In this work, we propose a multi-scattering-based approach to design reflectionless complex media with an arbitrary unitary transmission matrix. As such, the perfect transmission of waves through such a medium performs a unitary operation. Based on this principle, we experimentally demonstrated braiding of multiple waveguide modes in an acoustic waveguide via multiple scattering and showed non-Abelian characteristics arising from the concatenation of distinct complex media. Furthermore, we show that the principle can be extended for realizing arbitrary unitary operations beyond braiding. Our scheme uses generalized Wigner-Smith operators to design the optimal acoustic complex media with near-arbitrary targeted functionalities. The scheme is generally applicable beyond acoustics, with broad implications to other wave types. Our results demonstrate unprecedented control over multiple-scattering waves and establish complex media as a viable route to modal control and operations on compact platforms, providing a new design paradigm for multimode, reconfigurable wave-based devices with potential applications in multiplexed communication, imaging, and the manipulation of quantum waves.
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