### ASA 130th Meeting - St. Louis, MO - 1995 Nov 27 .. Dec 01

## 5aPAb5. Analysis of the diffraction process near a corner of a rigid wedge.

**Mitsuhiro Ueda
**

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*Intl. Cooperation Ctr. for Sci. and Technol., Tokyo Inst. of Technol.,
O-okayama, Meguro-ku, Tokyo 153, Japan
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In order to analyze the sound field near a corner of a rigid wedge, the
virtual discontinuity principle of diffraction (VDPD) that has been proposed and
the representation of the sound field that satisfies both the wave equation and
boundary conditions that can be constituted by this principle [J. Acoust. Soc.
Am. 95, 2354--2362 (1994)] is applied to this problem. Then the sound pressure
on the rigid surface can be expressed as an integral of the particle velocity
normal to an extension line of one of the wedge surfaces where a point of
interest is located on it. On the other hand, the particle velocity at any field
point can be expressed as an integral of the sound pressure along the rigid
surface using the Green's theorem. Thus there are two relations between the
sound pressure on the rigid surface and the particle velocity normal to the
extension lines of the wedge. Analyzing these two relations near the corner of
the wedge, the diffraction process that occurs near the corner becomes clear.
Its good understanding will surely help in understanding the nature of waves
diffracted by a polygon.