## 4aPAb3. Analysis of diffracted waves from a wedge by the virtual discontinuity principle of diffraction.

### Session: Thursday Morning, December 5

### Time: 10:30

**Author: Mitsuhiro Ueda**

**Location: Dept. of Inter. Devel. Eng., Tokyo Inst. of Technol., O-okayama, Meguro-ku, Tokyo, 152 Japan**

**Abstract:**

The virtual discontinuity principle of diffraction (VDPD), which gives the
representation of a sound field that satisfies both the wave equation and
boundary conditions [J. Acoust. Soc. Am. 95, 2354--2362 (1994)], is applied to
the analysis of diffracted waves from a rigid wedge in 2-D space. According to
VDPD, diffracted waves from the wedge can be expressed as an integral of
particle velocity along a half-line that starts from a corner point of the wedge
and would pass through an observation point if it was drawn in the reverse
direction. Since the particle velocity normal to the line is expressed as the
sum of geometrical-optics and near-field components, diffracted waves are also
expressed as the sum of waves contributed by the geometrical-optics and
near-field components of particle velocity. In this presentation, simple
relations expressing the two contributions of diffracted waves are derived and
it is shown that the sum of the two contributions agrees well with the rigorous
solution of diffracted waves.

ASA 132nd meeting - Hawaii, December 1996