2005
DOI: 10.1121/1.1847872
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Effective impedance spectra for predicting rough sea effects on atmospheric impulsive sounds

Abstract: Two methods of calculating the effective impedance spectra of acoustically hard, randomly rough, two-dimensional surfaces valid for acoustic wavelengths large compared with the roughness scales have been explored. The first method uses the complex excess attenuation spectrum due to a point source above a rough boundary predicted by a boundary element method (BEM) and solves for effective impedance roots identified by a winding number integral method. The second method is based on an analytical theory in which … Show more

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Cited by 16 publications
(26 citation statements)
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“…In the context of predicting sonic booms, the complex excess attenuation spectrum due to a line source above a boundary consisting of intersecting parabolas, which are representative of wind-driven deep water waves, has been predicted by a boundary element method (BEM) and has been used to deduce effective impedance as a function of sea state corresponding to mean wave heights between 0.25 and 7.5 m and for five incidence angles at each height. 8 The resulting predictions suggest that sea surface roughness could influence sonic boom profiles and rise times to an extent comparable to turbulence and molecular relaxation effects.…”
Section: Introductionmentioning
confidence: 99%
“…In the context of predicting sonic booms, the complex excess attenuation spectrum due to a line source above a boundary consisting of intersecting parabolas, which are representative of wind-driven deep water waves, has been predicted by a boundary element method (BEM) and has been used to deduce effective impedance as a function of sea state corresponding to mean wave heights between 0.25 and 7.5 m and for five incidence angles at each height. 8 The resulting predictions suggest that sea surface roughness could influence sonic boom profiles and rise times to an extent comparable to turbulence and molecular relaxation effects.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, deriving an effective impedance is likely to be unsuccessful when the surface undulation is too high relative to the sound frequencies of interest 20 . Agreement at sound frequencies above roughly 1 kHz becomes already difficult at sea state 4 as illustrated in Fig.…”
Section: [Figure 2]mentioning
confidence: 99%
“…At 10 km, the sea surface representative for sea state 4 would potentially lead to a decrease in 20 level of 10 dBA relative to sea state 3, and to more than 15 dBA relative to sea state 2.…”
Section: Figure 6]mentioning
confidence: 99%
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“…A heuristic extension of this model to sound reflection from rough surfaces of finite impedance has given predictions in tolerable agreement with ground effect measured over rough surfaces in the laboratory and outdoors [10]. However, the real part of the effective impedance obtained from Lucas and Twersky's theory for hard rough surfaces does not have the dominant real part low frequency limit that is expected from physical considerations [11]. Measurements of complex relative sound pressure level over porous roughness on a flat hard surface have been reported [12], and effective impedance spectra have been obtained from these measurements by numerical solution of the complex admittance equation [13] obtained from the classical expression for a point source over an impedance boundary.…”
Section: Introductionmentioning
confidence: 78%