Diffraction by a hard halfplane: Useful approximations to an exact formulation
(2002) In Journal of Sound and Vibration 252(2). p.191221 Abstract
 in this paper, the problem of diffraction of a spherical wave by a hard halfplane is considered. The starting point is the BiotTolstoy theory of diffraction of a spherical wave by a fluid wedge with hard boundaries. In this theory, the field at a point in the fluid is composed eventually of a geometrical part: i.e., a direct component, one or two components due to the reflections on the sides of the hard wedge, and a diffracted component due exclusively to the presence of the edge of the wedge. The mathematical expression of this latter component has originally been given in an explicit closed form for the case of a unit momentum wave incidence, but Medwin has further developed its expression for the more useful case of a Dirac delta... (More)
 in this paper, the problem of diffraction of a spherical wave by a hard halfplane is considered. The starting point is the BiotTolstoy theory of diffraction of a spherical wave by a fluid wedge with hard boundaries. In this theory, the field at a point in the fluid is composed eventually of a geometrical part: i.e., a direct component, one or two components due to the reflections on the sides of the hard wedge, and a diffracted component due exclusively to the presence of the edge of the wedge. The mathematical expression of this latter component has originally been given in an explicit closed form for the case of a unit momentum wave incidence, but Medwin has further developed its expression for the more useful case of a Dirac delta point excitation. The expression of this form is given in the time domain, but it is quite difficult to find exactly its Fourier transform for studying the frequency behaviour of the diffracted field. It is thus the aim of this paper to present various useful approximations of the exact expression. Among the approximations treated, three are most accurate for engineering purposes, and one of them is proposed. for its simplicity, as appropriate for most occurring practical situations. (C) 2002 Elsevier Science Ltd. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/337137
 author
 Ouis, Djamel ^{LU}
 organization
 publishing date
 2002
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of Sound and Vibration
 volume
 252
 issue
 2
 pages
 191  221
 publisher
 Elsevier
 external identifiers

 wos:000175766300001
 scopus:0037172180
 ISSN
 0022460X
 DOI
 10.1006/jsvi.2000.3553
 language
 English
 LU publication?
 yes
 id
 0e2cd319a78142ba86d6fcd5a46afd5c (old id 337137)
 date added to LUP
 20160401 16:23:51
 date last changed
 20200112 19:20:00
@article{0e2cd319a78142ba86d6fcd5a46afd5c, abstract = {in this paper, the problem of diffraction of a spherical wave by a hard halfplane is considered. The starting point is the BiotTolstoy theory of diffraction of a spherical wave by a fluid wedge with hard boundaries. In this theory, the field at a point in the fluid is composed eventually of a geometrical part: i.e., a direct component, one or two components due to the reflections on the sides of the hard wedge, and a diffracted component due exclusively to the presence of the edge of the wedge. The mathematical expression of this latter component has originally been given in an explicit closed form for the case of a unit momentum wave incidence, but Medwin has further developed its expression for the more useful case of a Dirac delta point excitation. The expression of this form is given in the time domain, but it is quite difficult to find exactly its Fourier transform for studying the frequency behaviour of the diffracted field. It is thus the aim of this paper to present various useful approximations of the exact expression. Among the approximations treated, three are most accurate for engineering purposes, and one of them is proposed. for its simplicity, as appropriate for most occurring practical situations. (C) 2002 Elsevier Science Ltd.}, author = {Ouis, Djamel}, issn = {0022460X}, language = {eng}, number = {2}, pages = {191221}, publisher = {Elsevier}, series = {Journal of Sound and Vibration}, title = {Diffraction by a hard halfplane: Useful approximations to an exact formulation}, url = {http://dx.doi.org/10.1006/jsvi.2000.3553}, doi = {10.1006/jsvi.2000.3553}, volume = {252}, year = {2002}, }