For the axisymmetric scattering from a circular disc, a highly effective symmetric formulation results, and results agree with reference solutions across the entire frequency range. No problems with irregular frequencies, as happen with the Kirchhoff–Helmholtz integral equation, are observed for this formulation. Numerical experiments demonstrate accurate response for frequencies down to 0 for thin plates and a cube. The sound field produced when a spherical sound wave is incident on a rigid many-sided barrier or pillar is calculated on the basis of Keller's geometrical theory of diffraction, Kouyoumjian and. In a subsequent step, this edge source signal is propagated to yield a multiple-order diffracted field, taking all diffraction orders into account. positions can reach an acceptable accuracy except for positions close to the boundary. This gives what can be called an edge source signal. Fast evaluation of sound diffraction over. Any type of energy that travels in a wave is capable of diffraction, and the diffraction of sound and light waves produces a number of effects. It is shown that the multiple-order diffraction component can be found via the solution to an integral equation formulated on pairs of edge points. CONCEPT Diffraction is the bending of waves around obstacles, or the spreading of waves by passing them through an aperture, or opening. The sound field produced when a spherical sound wave is incident on a rigid many-sided barrier or pillar is calculated on the basis of Keller's geometrical theory of diffraction, Kouyoumjian and Pathak's asymptotic solution for a single wedge, and Pierce's method for a doubly diffracted wave. It is generally observed with all waves: sound, radio waves, X-rays The study of sound diffraction has been known in the literature for many years. An existing secondary-source model for edge diffraction from finite edges is extended to handle multiple diffraction of all orders. The phenomenon of diffraction is the modification of the characteristics of a wave (direction, shape ) when it encounters an obstacle or passes through a small aperture. The formulation is based on decomposing the field into geometrical acoustics, first-order, and multiple-order edge diffraction components. A formulation of the problem of scattering from obstacles with edges is presented.
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