绕弯:波导拐角和迷宫对长波的反射和传输

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2023-12-13 DOI:10.1098/rspa.2023.0635
P. A. Martin
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引用次数: 0

摘要

针对沿刚性管道的二维声波建立了长波渐近近似。声波受到障碍物、收缩、隆起和/或弯曲的散射。使用匹配渐近展开,需要计算阻塞系数,而阻塞系数是根据相关势流问题的解法定义的。重点是估算反射和透射系数,正确率为波导宽度与波长之比的一阶。详细结果适用于任意角度的急弯,包括直角弯和发夹弯。此外,还介绍了迷宫结构多重散射的应用。
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Going round the bend: reflection and transmission of long waves by waveguide corners and labyrinths
Long-wave asymptotic approximations are developed for two-dimensional acoustic waves along rigid ducts. The waves are scattered by obstacles, constrictions, bulges and/or bends. Matched asymptotic expansions are used, requiring the calculation of blockage coefficients, which are defined in terms of the solution of related potential-flow problems. The emphasis is on estimating reflection and transmission coefficients, correct to first order in the ratio of the waveguide width to the wavelength. Detailed results are given for sharp bends of arbitrary angle, including right-angled bends and hairpin bends. Applications to multiple scattering by labyrinthine structures are also made.
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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