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Far Fields at the Interface between an Infinitely Deep Ocean and Ice Generated by a Localized Source

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Abstract

The problem of constructing the asymptotics of far wave fields generated at the interface between ice and an infinitely deep homogeneous liquid when a current flows around a localized source of perturbations is solved. An integral representation of the solution is obtained, and an asymptotic representation of the solution for supercritical modes of wave generation is constructed using the stationary phase method. The exact and asymptotic results are compared, and it is shown that the asymptotics far from the source of perturbations make it possible to describe the amplitude–phase structure of far wave fields.

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Funding

This work was supported by the Russian Science Foundation, project no. 23-21-00194.

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Correspondence to V. V. Bulatov or I. Yu. Vladimirov.

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The authors declare that they have no conflicts of interest.

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Translated by E. Morozov

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Bulatov, V.V., Vladimirov, I.Y. Far Fields at the Interface between an Infinitely Deep Ocean and Ice Generated by a Localized Source. Izv. Atmos. Ocean. Phys. 59, 296–300 (2023). https://doi.org/10.1134/S0001433823030039

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  • DOI: https://doi.org/10.1134/S0001433823030039

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