1975
DOI: 10.1121/1.380572
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Perturbation theory for scattering of sound from a point source by a moving rough surface in the presence of refraction

Abstract: A general perturbation theory is presented which is valid for small surface waveheights and for acoustic wavelengths of the order of the ocean-surface correlation length. Formal solutions for the perturbed field are given and are specialized, to the second order of approximation, for the case of a random ocean surface. The scattering reduces the intensity of the carrier (source) signal and creates signal sidebands that are not in general symmetric in amplitude about the carrier. A pair of system functions for … Show more

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Cited by 24 publications
(11 citation statements)
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“…Indeed, it was these characteristics that prompted a number of investigations in the last 30 years, mainly in the area of scattering by rough surfaces, and that resulted in a variety of low-order theories (see, e.g., Refs. [2][3][4][5][6][7][8][9]. The efficiency of these approaches naturally led to consideration of their applicability and accuracy; despite significant advances in the elucidation of these properties over the last decade, some important aspects remain unresolved.…”
Section: Introductionmentioning
confidence: 99%
“…Indeed, it was these characteristics that prompted a number of investigations in the last 30 years, mainly in the area of scattering by rough surfaces, and that resulted in a variety of low-order theories (see, e.g., Refs. [2][3][4][5][6][7][8][9]. The efficiency of these approaches naturally led to consideration of their applicability and accuracy; despite significant advances in the elucidation of these properties over the last decade, some important aspects remain unresolved.…”
Section: Introductionmentioning
confidence: 99%
“…The surface current (14) induced by the incident wave (12) is 10 represented as a high-order high-frequency expansion (20). The surface current ansatz is substituted into the surface current integral equation (22), wherein a surface current series expansion is formed (24) having a high frequency order.…”
Section: Abstract Of the Disclosurementioning
confidence: 99%
“…Harper and Labianca (30] use a perturbation theory to study scattering from a t ime- McCoy have examined both single-and multiple-scattering from inhomogeneities . T heir single-scatter theory (73], which has similarities to the work presented here, uses a first order perturbation, Born approximation approach to calculate the scattered field.…”
Section: O Dal Scattering Theor Iesmentioning
confidence: 99%
“…Many authors have developed scattering theories for simple impenetrable boundaries, such as rigid or pressure release surfaces [30,26]. T hese boundaries are limiting cases of the fluid-fluid boundary.…”
Section: Scattering Terms For Rough Fluid and Impenetrable Boundariesmentioning
confidence: 99%