Line source and point source scattering of acoustic waves by the junction of transmissive and soft–hard half planes

Abstract Firstly, the analysis of [A. Buyukaksoy, G. Cinar, A.H. Serbest, Scattering of plane waves by the junction of transmissive and soft–hard half planes, ZAMP 55 (2004) 483–499] for the scattering of plane waves by the junction of transmissive and soft–hard half planes is extended to the case of a line source. The introduction of the line source changes the incident field and the method of solution requires a careful analysis in calculating the scattered field. The graphical results are presented using MATHEMATICA . We observe that the graphs of the plane wave situation [A. Buyukaksoy, G. Cinar, A.H. Serbest, Scattering of plane waves by the junction of transmissive and soft–hard half planes, ZAMP 55 (2004) 483–499] can be recovered by shifting the line source to a large distance. Subsequently, the problem is further extended to the case of scattering due to a point source using the results obtained for a line source excitation. The introduction of a point source (three dimensions) involves another variable which then requires the calculation of an additional integral appearing in the inverse transform.

[1]  A. Büyükaksoy,et al.  Scattering of plane waves by the junction of transmissive and soft-hard half-planes , 2004 .

[2]  V. Daniele.  On the factorization of Wiener-Hopf matrices in problems solvable with Hurd's method , 1978 .

[3]  A. Khrapkov.  Certain cases of the elastic equilibrium of an infinite wedge with a nonsymmetric notch at the vertex, subjected to concentrated forces , 1971 .

[4]  30.—Acoustic Diffraction by an Absorbing Semi-infinite Half Plane in a Moving Fluid , 1975 .

[5]  Point-Source Diffraction by an Absorbing Half-Plane , 1991 .

[6]  A. Rawlins.  The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  R. Hurd.  A note on the solvability of simultaneous Wiener–Hopf equations , 1979 .

[8]  Jan Drewes Achenbach,et al.  Acoustic and Electromagnetic Waves , 1986 .

[9]  B. Noble,et al.  Methods Based on the Wiener-Hopf Technique. , 1960 .

[10]  E. Lüneburg,et al.  Scattering by hard and soft parallel half-planes , 1981 .

[11]  T. Senior.  Half plane edge diffraction , 1975 .

[12]  A. Rawlins,et al.  Diffraction by an acoustically transmissive or an electromagnetically dielectric half-plane , 1991 .

[13]  V. Daniele.  On the Solution of Two Coupled Wiener–Hopf Equations , 1984 .

[14]  R. Balasubramanyam.  Aerodynamic Sound due to a Point Source near a Half-plane , 1984 .

[15]  E. Lüneburg,et al.  Diffraction by an infinite set of hard and soft parallel half planes , 1982 .

[16]  B. Ahmad,et al.  Point source diffraction by three half planes in a moving fluid , 1992 .

[17]  D. S. Jones,et al.  Aerodynamic Sound Due to a Source Near a Half-Plane , 1972 .

[18]  A. Rawlins,et al.  Matrix Wiener-Hopf factorisation , 1981 .