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

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 represe...

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Bibliographic Details
Published in:Izvestiya. Atmospheric and oceanic physics 2023-06, Vol.59 (3), p.296-300
Main Authors: Bulatov, V. V., Vladimirov, I. Yu
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Climatology
Earth and Environmental Science
Earth Sciences
Far fields
Fields
Geophysics/Geodesy
Perturbation
Perturbations
Representations
Solid phases
Stationary phase
Wave generation
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Summary: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.
ISSN:0001-4338
1555-628X
DOI:10.1134/S0001433823030039