The Green's function of the mild-slope equation: The case of a monotonic bed profile

Belibassakis, KA

dc.contributor.author	Belibassakis, KA	en
dc.date.accessioned	2014-03-01T01:50:31Z
dc.date.available	2014-03-01T01:50:31Z
dc.date.issued	2000	en
dc.identifier.issn	0165-2125	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26039
dc.subject.classification	Acoustics	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	SOUND-PROPAGATION	en
dc.subject.other	WAVES	en
dc.subject.other	SCATTERING	en
dc.title	The Green's function of the mild-slope equation: The case of a monotonic bed profile	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In the present work the Green's function of the mild-slope and the modified mild-slope equations is studied. An effective numerical Fourier inversion scheme has been developed and applied to the construction and study of the source-generated water-wave potential over an uneven bottom profile with different depths at infinity. In this sense, the present work is a prerequisite to the study of the diffraction of water waves by localized bed irregularities superimposed over an uneven bottom. In the case of a monotonic bed profile, the main characteristics of the far-field are: (i) the formation of a shadow zone with an ever expanding width, which is located along the bottom irregularity, and (ii) in each of the two sectors not including the bottom irregularity the asymptotic behavior of the wave field approaches the form of an outgoing cylindrical wave, propagating with an amplitude of order O(R-1/2), where R is the distance from the source, and wavelength corresponding to the sector-depth at infinity. Moreover, the weak wave system propagating in the shadow zone is of order O(R-3/2), and along the bottom irregularity consists of the superposition of two outgoing waves with wavelengths corresponding to the two depths at infinity. (C) 2000 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	WAVE MOTION	en
dc.identifier.isi	ISI:000089184200004	en
dc.identifier.volume	32	en
dc.identifier.issue	4	en
dc.identifier.spage	339	en
dc.identifier.epage	361	en