| Acoustic stop bands in almost-periodic and weakly randomized stratified media： perturbation analysis |
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| 摘 要： | In this paper, we analyze the effect of both deter- ministic and random perturbations of a regular multi-layered elastic structure on its stop band properties. The tool of choice is the transfer matrix method, which is both versatile and easy to implement. In both cases, we find that the stop-bands widen. We observe the appearance of very narrow pass-bands within the stop-bands, which can be observed in other instances in optics.
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| 关 键 词： | 传导问题 随机干扰试验 力学 试验研究 |
Acoustic stop bands in almost-periodic and weakly randomized stratified media: perturbation analysis |
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| Authors: | S Guenneau A B Movchan N V Movchan J Trebicki |
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| Institution: | (1) Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool, L69 3BX, UK;(2) Polish Academy of Sciences, Institute of Fundamental Technology Research, Swietokrzyska 21, Warsaw, 00049, Poland |
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| Abstract: | In this paper, we analyze the effect of both deterministic and random perturbations of a regular multi-layered elastic structure
on its stop band properties. The tool of choice is the transfer matrix method, which is both versatile and easy to implement.
In both cases, we find that the stop-bands widen. We observe the appearance of very narrow pass-bands within the stop-bands,
which can be observed in other instances in optics. |
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| Keywords: | Transmission problem Small random perturbations Stop bands |
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