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Journal ArticleDOI

Survey of Literature on Reflection and Scattering of Sound Waves at the Sea Surface

Leonard Fortuin
- 01 May 1970 - 
- Vol. 47, pp 1209-1228
TLDR
The problem of diffraction of waves at uneven surfaces has received increasing attention in the past 15-20 years as discussed by the authors, which has resulted in a large number of reports and papers in the open literature.
Abstract
The problem of diffraction of waves at uneven surfaces has received increasing attention in the past 15–20 years. This has resulted in a large number of reports and papers in the open literature. In this review article most of the publications dealing with sound waves and pressure release surfaces (both theoretical and experimental) that appeared up to the beginning of 1969 are mentioned as references. They are classified by subject, and the main currents in the literature (Rayleigh and Uretsky method for sinusoidal boundaries, Eckart theory with Kirchhoff approximation for random surfaces, experiments at sea) are analyzed and discussed. General trends, relations between studies, agreements, and contradictions are mentioned. It is found that nearly all of the publications cover only part of the problem: although the wave diffraction at rough surfaces is a function of three basic quantities simultaneously (i.e. time, frequency of incident wave, and geometry), most of the papers deal with only one or anothe...

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Citations
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Journal ArticleDOI

Numerical methods in electromagnetic scattering theory

TL;DR: An overview is given over some of the most widely used numerical techniques for solving the electromagnetic scattering problem that start from rigorous electromagnetic theory.
Journal ArticleDOI

Digital signal processing for sonar

TL;DR: This paper is a tutorial which describes "main stream" sonar digital signal processing functions along with the associated implementation considerations to promote further cross-fertilization of ideas amongdigital signal processing applications in sonar, radar, speech, communications, seismology, and other related fields.
Journal ArticleDOI

Surface-wave propagation over sinusoidally varying topography

TL;DR: In this paper, the authors used linear perturbation theory to show that the reflection coefficient is both oscillatory in the quotient of the length of the patch and the surface wavelength, and also strongly dependent upon the quotients of the surface and bed wavelengths.
Journal ArticleDOI

The Rayleigh hypothesis and a related least‐squares solution to scattering problems for periodic surfaces and other scatterers

R. F. Millar
- 01 Aug 1973 - 
TL;DR: In this paper, the authors reviewed the Rayleigh hypothesis in relation to scattering by periodic surfaces, aperiodic surfaces, and bounded, two-dimensional bodies, and provided conditions for its validity for a sinusoidal grating.
References
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Journal ArticleDOI

Underwater Sound Reflection from a Corrugated Surface

TL;DR: Theories of rough surface reflection by Rayleigh, Eckart, and Brekhovskikh were used to calculate the dependence on surface and radiation parameters, of the amplitudes of reflected radiation when an acoustic beam is incident on a pressure-release surface with sinusoidal corrugations.
Journal ArticleDOI

Exact Solution of Wave Scattering by Irregular Surfaces

TL;DR: In this paper, an exact solution is obtained by extensive use of Wiener's generalized harmonic analysis, which is readily extended to include electromagnetic waves, general elastic waves, and nonplanar, nonharmonic sources.
Journal ArticleDOI

Surface Backscattering Strengths Measured over an Extended Range of Frequencies and Grazing Angles

TL;DR: In this paper, surface backscattering strengths were measured in octave bands, using explosive sound sources in an experiment similar to that reported by Chapman and Harris [J. Acoust. Soc. Am. 34, 1592-1597 (1962)].
Journal ArticleDOI

Fourier Transform Method for the Treatment of the Problem of the Reflection of Radiation from Irregular Surfaces

TL;DR: In this paper, the Fourier transform method is used for the first boundary value problem and can be used in either two-dimensional or three-dimensional problems with any given incident field.
Journal ArticleDOI

Reflection of a Plane Sound Wave from a Sinusodial Surface

TL;DR: RefReflection coefficients have been computed, on the basis of an exact formulation, for the reflection of a plane sound wave from a sinusoidal pressure-release surface as discussed by the authors, and some approximate formulations are given.