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The existence of Rayleigh-Bloch surface waves

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preprint
posted on 25.08.2005, 13:13 by Christopher Linton, Maureen McIver
Rayleigh-Bloch surface waves arise in many physical contexts including water waves and acoustics. They represent disturbances travelling along an infinite periodic structure. In the absence of any existence results, a number of authors have previously computed such modes for certain specific geometries. Here we prove that such waves can exist in the absence of any incident wave forcing for a wide class of structures.

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112167 bytes

Publication date

2002

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This pre-print has been submitted, and accepted, to the journal, Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version: LINTON, C.M. and McIVER, M., 2002. The existence of Rayleigh-Bloch surface waves. Journal of Fluid Mechanics, 470, pp. 85-90, is available at: http://jfm-www.damtp.cam.ac.uk/.

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