Approximate formulas and physical interpretations for horizontal acoustic modes in a shelf-slope front model

DeCourcy, Brendan J.; Lin, Ying‐Tsong; Siegmann, William L.

doi:10.1121/1.4954881

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…The invariance of energy levels and mode numbers allows estimating wavenumber responses to parameter changes, provided phase effects from any interface(s) and turning point(s) are incorporated. The approach here extends work by DeCourcy et al 2,3 for the parameter dependence in an idealized single-interface coastal front over a sloping bottom. The NIW case requires handling pairs of interfaces and subsequent radial mode phase changes, and also new approximation formulas.…”

Section: Introductionsupporting

confidence: 62%

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Parameter dependence of acoustic mode quantities in an idealized model for shallow-water nonlinear internal wave ducts

Milone

DeCourcy

Lin

et al. 2019

The Journal of the Acoustical Society of America

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Nonlinear internal waves in shallow water have significant acoustic impacts and cause three-dimensional ducting effects, for example, energy trapping in a duct between curved wavefronts that propagates over long distances. A normal mode approach applied to a three-dimensional idealized parametric model [Lin, McMahon, Lynch, and Siegmann, J. Acoust. Soc. Am. 133(1), 37–49 (2013)] determines the dependence of such effects on parameters of the features. Specifically, an extension of mode number conservation leads to convenient analytical formulas for along-duct (angular) acoustic wavenumbers. The radial modes are classified into five types depending on geometric characteristics, resulting in five distinct formulas to obtain wavenumber approximations. Examples of their dependence on wavefront curvature and duct width, along with benchmark comparisons, demonstrate approximation accuracy over a broad range of physical values, even including situations where transitions in mode types occur with parameter changes. Horizontal-mode transmission loss contours found from approximate and numerically exact wavenumbers agree well in structure and location of intensity features. Cross-sectional plots show only small differences between pattern phases and amplitudes of the two calculations. The efficiency and accuracy of acoustic wavenumber and field approximations, in combination with the mode-type classifications, suggest their application to determining parameter sensitivity and also to other feature models.

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Section: Introductionsupporting

confidence: 62%

“…V. They are also useful in determining turning point locations, and consequently the geometric properties of radial modes. 2 The coefficient of G mn in Eq. ( 5) is readily shown from Eq.…”

Section: Radial Mode Solutions and Classificationmentioning

confidence: 99%

Parameter dependence of acoustic mode quantities in an idealized model for shallow-water nonlinear internal wave ducts

Milone

DeCourcy

Lin

et al. 2019

The Journal of the Acoustical Society of America

Self Cite

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“…Using mathematical models of a curved coastal front, the importance of front width can be determined, with prior analyses of a similar environment from Lin and Lynch providing a baseline for comparisons. [6][7][8] To examine the ducting effects of front width over a sloping bottom, the idealized front of Lin and Lynch is considered. 6 This model describes the front as an instantaneous change between isospeed inshore and offshore regions.…”

mentioning

confidence: 99%

Effects of front width on acoustic ducting by a continuous curved front over a sloping bottom

DeCourcy

Lin

Siegmann

2019

The Journal of the Acoustical Society of America

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The behavior of sound near an ocean front in a region with wedge bathymetry is examined. The front is parameterized as a zone of variation with inshore and offshore boundaries parallel to a straight coastline. The importance of frontal width and frontal sound speed on the ducting of acoustic energy is examined. Previous analytical studies of sound propagation and parameter sensitivity in an idealized wedge environment use an unphysical but convenient single interface front representation, which is here replaced by a continuous sound speed profile. The continuous profile selected is convenient for analytical investigation, but encourages the use of asymptotic approximation methods which are also described. The analytical solution method is outlined, and numerical results are produced with an emphasis on comparing to the single interface front. These comparisons are made to highlight the strengths and weaknesses of the idealized model for capturing the horizontal ducting effects.

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On uniform asymptotic approximations of whispering gallery modes propagating along curved penetrable interfaces

Tsvetkova

Petrov

2023

Journal of Sound and Vibration

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Approximate formulas and physical interpretations for horizontal acoustic modes in a shelf-slope front model

Cited by 7 publications

References 8 publications

Parameter dependence of acoustic mode quantities in an idealized model for shallow-water nonlinear internal wave ducts

Parameter dependence of acoustic mode quantities in an idealized model for shallow-water nonlinear internal wave ducts

Effects of front width on acoustic ducting by a continuous curved front over a sloping bottom

On uniform asymptotic approximations of whispering gallery modes propagating along curved penetrable interfaces

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