Archives of Acoustics,

**27**, 1, pp. , 2002### Scattering near a penetrable finite plane

Acoustic scattering due to a point source by a penetrable

finite plane introducing the Kutta-Joukowski condition is studied. This

investigation is important in the sense that point source is regarded as

fundamental radiating device. Mathematical problem which is solved is an

approximate model for a noise barrier which is not perfectly rigid and therefore

transmits sound. Approximate boundary condition depends upon the thickness and

material constants which constitute the finite plane. The problem is solved

using integral transforms, the Wiener-Hopf technique and asymptotic methods. It

is found that the diffracted field is sum of the fields produced by the two

edges of the finite plane and an interaction field. It is once again found that

the field produced by the Kutta-Joukowski condition will be substantially larger

than the field produced in its absence when the source is near the edge.

Finally, physical interpretation of the result is discussed.

finite plane introducing the Kutta-Joukowski condition is studied. This

investigation is important in the sense that point source is regarded as

fundamental radiating device. Mathematical problem which is solved is an

approximate model for a noise barrier which is not perfectly rigid and therefore

transmits sound. Approximate boundary condition depends upon the thickness and

material constants which constitute the finite plane. The problem is solved

using integral transforms, the Wiener-Hopf technique and asymptotic methods. It

is found that the diffracted field is sum of the fields produced by the two

edges of the finite plane and an interaction field. It is once again found that

the field produced by the Kutta-Joukowski condition will be substantially larger

than the field produced in its absence when the source is near the edge.

Finally, physical interpretation of the result is discussed.

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