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A combined method of calculating the field in a waveguide, initiated by a point source (a two-dimensional acoustic medium) - MaRDI portal

A combined method of calculating the field in a waveguide, initiated by a point source (a two-dimensional acoustic medium) (Q5948008)

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scientific article; zbMATH DE number 1667521
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A combined method of calculating the field in a waveguide, initiated by a point source (a two-dimensional acoustic medium)
scientific article; zbMATH DE number 1667521

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    A combined method of calculating the field in a waveguide, initiated by a point source (a two-dimensional acoustic medium) (English)
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    29 October 2001
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    The paper is devoted to 2D scalar wave propagation in a waveguide, where Dirichlet/Neumann boundary conditions are given on the boundaries. The Green function is constructed in the form of a contour integral, and the short-wave asymptotic representation of the solution is investigated. The exact solution is represented as the sum of geometro-optical waves, normal waves, and the residual which is expressed by a simple formula.
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    waveguide
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    Dirichlet condition
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    Green's function
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    asymptotic representation
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    Neumann boundary condition
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