An approximate form of the Rayleigh reflection loss and its phase: application to reverberation calculation

The Journal of the Acoustical Society of America
Chris H Harrison

Abstract

A useful approximation to the Rayleigh reflection coefficient for two half-spaces composed of water over sediment is derived. This exhibits dependence on angle that may deviate considerably from linear in the interval between grazing and critical. It shows that the non-linearity can be expressed as a separate function that multiplies the linear loss coefficient. This non-linearity term depends only on sediment density and does not depend on sediment sound speed or volume absorption. The non-linearity term tends to unity, i.e., the reflection loss becomes effectively linear, when the density ratio is about 1.27. The reflection phase in the same approximation leads to the well-known "effective depth" and "lateral shift." A class of closed-form reverberation (and signal-to-reverberation) expressions has already been developed [C. H. Harrison, J. Acoust. Soc. Am. 114, 2744-2756 (2003); C. H. Harrison, J. Comput. Acoust. 13, 317-340 (2005); C. H. Harrison, IEEE J. Ocean. Eng. 30, 660-675 (2005)]. The findings of this paper enable one to convert these reverberation expressions from simple linear loss to more general reflecting environments. Correction curves are calculated in terms of sediment density. These curves are applied to a t...Continue Reading

References

Dec 3, 2003·The Journal of the Acoustical Society of America·C H Harrison
Jul 24, 2010·The Journal of the Acoustical Society of America·Chris H Harrison, Michael A Ainslie

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Citations

Jul 12, 2012·The Journal of the Acoustical Society of America·Chris H Harrison
Jul 24, 2010·The Journal of the Acoustical Society of America·Chris H Harrison, Michael A Ainslie
Sep 8, 2011·The Journal of the Acoustical Society of America·Chris H Harrison
May 9, 2012·The Journal of the Acoustical Society of America·E C ShangZ D Zhao
Aug 7, 2014·The Journal of the Acoustical Society of America·Hüseyin Özkan Sertlek, Michael A Ainslie
Apr 2, 2018·The Journal of the Acoustical Society of America·Chris H Harrison

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