2009
DOI: 10.1121/1.3203268
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Acoustic mode radiation from the termination of a truncated nonlinear internal gravity wave duct in a shallow ocean area

Abstract: Horizontal ducting of sound between short-wavelength nonlinear internal gravity waves in coastal environments has been reported in many theoretical and experimental studies. Important consequences arising at the open end of an internal wave duct ͑the termination͒ are examined in this paper with three-dimensional normal mode theory and parabolic approximation modeling. For an acoustic source located in such a duct and sufficiently far from the termination, some of the propagating sound may exit the duct by pene… Show more

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Cited by 32 publications
(39 citation statements)
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“…al. [18] to describe the effects of horizontal acoustic ducting in between internal waves and by McMahon for theoretical studies of Horizontal Lloyds Mirror effect [41]. In the following sections, we will consider three-dimensional mode coupling The SIA has an advantage of its simplicity as it replaces the problem of continuous modal refraction and coupling with discrete modal refraction and coupling at several vertical interfaces.…”
Section: Sharp Interface Approximationmentioning
confidence: 99%
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“…al. [18] to describe the effects of horizontal acoustic ducting in between internal waves and by McMahon for theoretical studies of Horizontal Lloyds Mirror effect [41]. In the following sections, we will consider three-dimensional mode coupling The SIA has an advantage of its simplicity as it replaces the problem of continuous modal refraction and coupling with discrete modal refraction and coupling at several vertical interfaces.…”
Section: Sharp Interface Approximationmentioning
confidence: 99%
“…In the following example we place two identical internal waves (with the same amplitude and width as in the examples above) centered at y s = ±300 m. [18,19] and curvature [17] of the duct, since there is (almost) no cylindrical spreading associated with its propagation. Along with ducting of incident mode one, one can also note ducting of a coupled mode two, which is 15-20 dB weaker than the ducting of the initial mode one.…”
Section: A Multiple Wavesmentioning
confidence: 99%
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“…Snell's law, written in terms of grazing angle with respect to the horizontal boundary of an internal wave duct, is for vertical mode number . Disregarding tunneling effects [14], the critical angle for trapping a mode within an internal wave duct is given by (1) To complete the task of expressing the critical angle in terms of the parameters of depth, internal wave height, and so on, we use perturbation theory. Since we are mainly interested in modeling oceanographic effects due to internal waves, we can take the bottom to be a rigid boundary for simplicity.…”
Section: A Critical Angle Estimationmentioning
confidence: 99%
“…A 3-D normal mode method has been used to study canonical environmental models of shelfbreak front systems [1] and nonlinear internal wave ducts [2][3]. 3-D parabolic-equation (PE) wave propagation models with improved split-step marching algorithms [4][5][6] are used to study sound propagation in realistic environments.…”
Section: Approachmentioning
confidence: 99%