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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

The Scattering of Sound from the Sea Surface

TL;DR: In this article, the scattering coefficient of long-wave sound is calculated and shown to be σ σ 2k 2/4π 2∫∫Φ(ξη)exp[−ik(aξ+bη)]dξdη, where 2π/k is the wavelength of the sound, and a, b, c are the sum of the x, y, z direction cosines of the incident and scattered rays.
Journal ArticleDOI

Shadowing of random rough surfaces

TL;DR: In this paper, the area subtending the surface is multiplied by a shadowing function equal to the ratio of illuminated to total area, which is derived for a surface generated by a stationary process in general and a normal process in particular.
Journal ArticleDOI

The scattering of plane waves from periodic surfaces

TL;DR: In this paper, the reflection of scalar plane waves from periodic surfaces (in two dimensions) is studied, and a particular attention is devoted to the sinusoidal surface upon which the wave function vanishes.
Journal ArticleDOI

A statistical theory of reverberation and similar first-order scattered fields--I: Waveforms and the general process

TL;DR: The emphasis is on broadband (frequency-dependent) structures, and their associated space-time operators, by which the system as a whole is represented, and with the help of which one can apply the general methods of statistical communication theory to the central problems of signal processing for detection, communication, and classification.

Very High Frequency Radiowave Scattering by a Disturbed Sea Surface

TL;DR: In this paper, the authors considered the scattering of very high frequency 0 electromagnetic waves from a random weakly corrugated surface by the perturbation method and showed that only certain Fourier components of the surface shape are responsible for scattering in every given direction.