Corrigendum to “On angular-spectrum representations for scattering by infinite rough surfaces” [Wave Motion 24 (1996) 421–433]

✍ Scribed by J.A DeSanto; P.A Martin

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 45 KB
• Volume: 32
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(00)00044-5

✦ Synopsis

In [1], we used energy arguments to deduce various results for the problem of acoustic scattering of a plane wave by an infinite one-dimensional rough surface, S, defined by z=s(x) with -h≤s(x)≤0 for all x. Some of the results must be modified as was pointed out by Kazandjian [3, this volume].

Let S r = S r ∪ H r ∪ T r be a closed curve, where S r ={(x, z): z=s(x), |x|≤r} is a truncated rough surface, H r a semicircle (centred at the origin) of radius r in z≥0, and T r consists of two line segments at x=±r. In [1], we considered the energy flux through S r , and deduced various consequences of assumed representations for the reflected wave field. However, it was implicitly assumed that the energy flux through T r was negligible compared to that through H r . (In fact, in a later paper [2] concerned with the derivation of boundary integral equations for reflection of a plane wave by a two-dimensional rough surface, we showed that T r can give a significant contribution.