7.7 Numerical Calculations of Acoustic Elementary Fringe Waves
In this section we present the results of numerical calculations of the elementary edge- diffracted waves radiated by the nonuniform scattering sources j(1)s, h. The analytical expressions for the directivity patterns of these waves were given in earlier sections. The quantities 10log |F(1)s, h| are calculated for the parameters α = 315°, γ0 = 45°, and φ0 = 45°. Figure 7.6 shows the directivity patterns in the plane perpendicular to the edge (ϑ = 90°, 0° ⩽ φ ⩽ 360°).
Figure 7.6 Directivity patterns of elementary edge waves (radiated by the nonuniform/fringe sourcesj(1)s, h) in the plane ϑ = 90°. The interval 315° ⩽ φ ⩽ 360° relates to the region inside the wedge.
Figure 7.7 demonstrates the directivity patterns in the bisecting plane containing the edge. In this figure, the polar angle θ is defined through the spherical coordinate ϑ as
This means that 0° ⩽ θ ⩽ 180° when φ = α/2 and 180° ⩽ θ ⩽ 360° when φ = α/2 + 180°.
Figure 7.7 Directivity patterns of elementary edge waves (radiated by the nonuniform/fringe sources) in the bisecting plane. The interval 180° ⩽ θ ⩽ 360° relates to the region inside the wedge. ...
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