管道仪表中的逆多普勒效应
Inverse Doppler Effects in Pipe Instruments
摘要:
音乐比语言更古老,在人类历史的大部分时间里,音乐将我们的文化联系在一起。管乐器是有史以来最受欢迎的乐器之一。本文在前人建立的笛形和类笛形声学超材料模型的基础上,对两种常见的管乐器--竖笛和单簧管中的逆多普勒效应进行了实验研究。我们的研究表明,当麦克风(观察者)和上述两个管乐器(源)之间存在相对运动时,逆多普勒效应可以在上升音阶的所有七个音高上被检测到。这两个管道仪器的计算出的有效折射率是负的,并且在一组间距上变化,表现出宽带声学超材料的期望特性。这项研究表明,竖笛和单簧管可能是迄今为止已知的最早的人造声学超材料,为为什么管乐器在过去的数百年和数千年里在欧洲和亚洲广受欢迎提供了新的解释。这一新发现的现象也将为设计下一代智能宽带双负声学超材料提供线索。
英文摘要:
Music is older than language, and for most of human history music holds our culture together. The pipe instrument is one of the most popular musical instruments of all time. Built on the foundation of previous flute and flute-like acoustic metamaterial models, we herein report the experimental results of the inverse Doppler effects discovered in two common pipe instruments - recorder and clarinet. Our study shows that the inverse Doppler effects can be detected at all seven pitches of an ascending musical scale when there is a relative motion between a microphone (observer) and abovementioned two pipe instruments (source). The calculated effective refractive indices of these two pipe instruments are negative and varying across a set of pitches, exhibiting a desired characteristic of broadband acoustic metamaterials. This study suggests that recorder and clarinet may be the earliest man-made acoustic metamaterials known so far, offering a new explanation why pipe instruments have enjoyed wide popularity in Europe and Asia over the past hundreds and thousands years. This newly discovered phenomenon would also offer a clue into designing next-generation smart broadband double-negative acoustic metamaterials with varying refractive index.
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