Perfect transmission and asymptotic solutions for reflection of ice-coupled waves by inhomogeneities

Vaughan, G. L.; Williams, Timothy; Squire, Vernon A.

doi:10.1016/j.wavemoti.2007.01.001

Cited by 18 publications

(26 citation statements)

References 9 publications

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“…Other authors [e.g. Vaughan et al (2007)] have already established this result when submergence is not considered, but we wished to demonstrate that the WSA result for an open lead is also very accurate when it is considered. This result is very important for calculating the scattering by multiple leads as using the WSA greatly accelerates such computations.…”

Section: Article In Presssupporting

confidence: 53%

The effect of submergence on the scattering by the interface between two semi-infinite sheets

Williams

Porter

2009

Journal of Fluids and Structures

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Section: Article In Presssupporting

confidence: 53%

The effect of submergence on the scattering by the interface between two semi-infinite sheets

Williams

Porter

2009

Journal of Fluids and Structures

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“…In any case, these values could be used in place of the transmitted energy, due to the identity |R 0± | 2 + |T 0− T 0+ | = 1, and symmetry. It is evident that the period at which perfect transmission occurs increases as the surrounding ice becomes thicker, which is caused by the flexural response of the ice dominating over its mass loading for a greater range of periods (the former being proportional to D 3 and the latter to D, see Vaughan et al 2007). The qualitative properties of the results are otherwise as expected, with monotonically decreasing reflection, i.e.…”

Section: Modelling Individual Featuresmentioning

confidence: 71%

“…For the results presented in figure 5, 8-16 evanescent waves were included in the approximation to produce satisfactory convergence for the averaged data, compared to 64-128 for the unaveraged data. It is noted that a WSA can also be applied for a crack and would give good accuracy (Vaughan et al 2007).…”

Section: Modelling Individual Featuresmentioning

confidence: 99%

On the calculation of an attenuation coefficient for transects of ice-covered ocean

Bennetts

Squire

2011

Proc. R. Soc. A.

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Exponential attenuation of ocean surface waves in ice-covered regions of the polar seas is modelled in a two-dimensional, linear setting, assuming that the sea ice behaves as a thinelastic plate. Attenuation is produced by natural features in the ice cover, with three types considered: floes, cracks and pressure ridges. An inelastic damping parameterization is also incorporated. Efficient methods for obtaining an attenuation coefficient for each class of feature, involving an investigation of wave interaction theory and averaging methods, are sought. It is found that (i) the attenuation produced by long floes can be obtained from the scattering properties of a single ice edge; and (ii) wave interaction theory in ice-covered regions requires evanescent and damped-propagating motions to be included when scattering sources are relatively nearby. Implications for the integration of this model into an oceanic general circulation model are also discussed.

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“…Recently Vaughan et al [5] provided simple approximations for the case where the ice sheet is very thin. Chung and Linton [6] examined reflection of waves by leads and observed a regular distribution of minima for sufficiently high frequencies.…”

Section: Introductionmentioning

confidence: 99%

Scattering of ice coupled waves by a sea-ice sheet with random thickness

Vaughan

Squire

2007

Waves in Random and Complex Media

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Arctic sea-ice contains imperfections such as cracks, leads and pressure ridges that scatter flexuralgravity waves. Models for predicting scattering have been described in the literature, concentrating mainly on singular isolated features with simplified shapes or on arrays of such features. In reality ridges are seldom simple and leads are rarely entirely free of ice. Here we describe a model in which the scattering by a sheet of arbitrary thickness can be simulated. Linear wave theory and Green's functions are used to derive the governing equations for a numerical model of a two-dimensional (in the vertical) system. We examine wave scattering by random ice sheets, identifying trends in behavior as the wave period and the length, median thickness and variance of the sheet are changed. It has been suggested that wave scattering could be used to identify sea-ice thickness, a task which is difficult or expensive by other methods, and here we examine a technique by which this could potentially be achieved. However, a large data base is necessary for this to work and this may limit the practicality of the approach.

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Perfect transmission and asymptotic solutions for reflection of ice-coupled waves by inhomogeneities

Cited by 18 publications

References 9 publications

The effect of submergence on the scattering by the interface between two semi-infinite sheets

The effect of submergence on the scattering by the interface between two semi-infinite sheets

On the calculation of an attenuation coefficient for transects of ice-covered ocean

Scattering of ice coupled waves by a sea-ice sheet with random thickness

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