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    Wave scattering in spatially inhomogeneous currents

    Churilov, Semyon and Ermakov, Andrei and Stepanyants, Yury (2017) Wave scattering in spatially inhomogeneous currents. Physical Review D, 96 (6). ISSN 2470-0029

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    We analytically study a scattering of long linear surface waves on stationary currents in a duct (canal) of constant depth and variable width. It is assumed that the background velocity linearly increases or decreases with the longitudinal coordinate due to the gradual variation of duct width. Such a model admits an analytical solution of the problem in hand, and we calculate the scattering coefficients as functions of incident wave frequency for all possible cases of sub-, super-, and transcritical currents. For completeness we study both cocurrent and countercurrent wave propagation in accelerating and decelerating currents. The results obtained are analyzed in application to recent analog gravity experiments and shed light on the problem of hydrodynamic modeling of Hawking radiation.

    Item Type: Article
    Keywords: wave; scattering; spatially; inhomogeneous; currents;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Item ID: 17099
    Identification Number:
    Depositing User: Dr Andrei Ermakov
    Date Deposited: 06 Apr 2023 10:53
    Journal or Publication Title: Physical Review D
    Publisher: American Physical Society
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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