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The paper deals with solving of the diffraction plane wave problem from a finite rigid hollow cone at oblique incidence. The diffraction problem is treated in terms of the scattering velocity potential by means of the mode matching technique and the analytical regularization procedure. The unknown expansion coefficients are found from an infinite system of linear algebraic equations of the second...
The diffraction problem of the plane acoustic wave on the semi-infinite truncated soft and rigid cones in the case of axial incidence is solved. The problem is formulated as a boundary-value problem in terms of Helmholtz equation, with Dirichlet and Neumann boundary conditions, for scattered velocity potential. The incident field is taken to be the total field of semi-infinite cone, the expression...
The canonical problem of diffraction of the plane acoustic wave from the finite hollow rigid cone in the case of axial incidence is solved. The diffraction problem is formulated as a Neumann boundary value problem for the Helmholtz equation. The diffracted field is sought in the terms of eigenfunctions of the Helmholtz equation taking into account the radiation condition and the edge condition. Making...
Based on the rigorous mathematical treatment of an acoustic plane wave diffraction by the semi-infinite truncated soft (rigid) cone, the characteristics of a near-field formation by its edge are established. The corresponding diffraction problem is solved in terms of the velocity potential of a diffracted field by the method of partial domains. Making use of the mode matching technique and orthogonality...
The problem of a plane acoustic wave diffraction by a soft disc is analyzed and numerically computed for different angle of incident including axial and glancing cases. The problem is solved in terms of the velocity potential using the mode matching technique and the analytical regularization procedure. Using the mode matching technique and the property of orthogonality of associated Legendre functions...
The problem of a plane acoustic wave diffraction by a finite soft (rigid) hollow cone is analyzed and numerically computed for axially symmetric case. The problem is solved in terms of the velocity potential using the mode matching technique and the analytical regularization procedure. The unknown expansion coefficients are determined from the infinite system of linear algebraic equations (ISLAE)...
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