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物理学中的模拟变换及其在声学中的应用。

Analogue transformations in physics and their application to acoustics.

机构信息

Nanophotonics Technology Center, Universitat Politècnica de València, 46022 Valencia, Spain.

出版信息

Sci Rep. 2013;3:2009. doi: 10.1038/srep02009.

DOI:10.1038/srep02009
PMID:23774575
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3684807/
Abstract

Transformation optics has shaped up a revolutionary electromagnetic design paradigm, enabling scientists to build astonishing devices such as invisibility cloaks. Unfortunately, the application of transformation techniques to other branches of physics is often constrained by the structure of the field equations. We develop here a complete transformation method using the idea of analogue spacetimes. The method is general and could be considered as a new paradigm for controlling waves in different branches of physics, from acoustics in quantum fluids to graphene electronics. As an application, we derive an "analogue transformation acoustics" formalism that naturally allows the use of transformations mixing space and time or involving moving fluids, both of which were impossible with the standard approach. To demonstrate the power of our method, we give explicit designs of a dynamic compressor, a spacetime cloak for acoustic waves and a carpet cloak for a moving aircraft.

摘要

变换光学已经形成了一种革命性的电磁设计范式,使科学家能够制造出隐形斗篷等令人惊叹的设备。不幸的是,变换技术在物理学的其他分支中的应用往往受到场方程结构的限制。我们在这里使用类似时空的概念开发了一种完整的变换方法。该方法具有普遍性,可以被认为是控制不同物理学分支中波的一种新范例,从量子流体中的声学到石墨烯电子学。作为应用,我们推导出一个“类似变换声学”形式体系,它自然允许使用混合空间和时间的变换或涉及移动流体的变换,而这在标准方法中是不可能的。为了展示我们方法的威力,我们给出了动态压缩机、声波时空斗篷和移动飞机的地毯斗篷的显式设计。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/905788fa8e60/srep02009-f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/0384d9920cb5/srep02009-f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/f6d0fa452598/srep02009-f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/fb583322e1dc/srep02009-f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/905788fa8e60/srep02009-f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/0384d9920cb5/srep02009-f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/f6d0fa452598/srep02009-f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/fb583322e1dc/srep02009-f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa58/3684807/905788fa8e60/srep02009-f4.jpg

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