Wiener-Hopf analysis of diffraction of acoustic waves by a soft/hard half-plane

• Autorzy: Ayub M. , Mann A. B. , Ahmad M. , Tiwana M. H.
• Języki publikacji: EN

Abstrakty

EN

In this paper, firstly, the far field due to a line source scattering of acoustic waves by a soft/hard half-plane is investigated. It is observed that if the line source is shifted to a large distance, the results differ from those of [16] by a multiplicative factor. Subsequently, the scattering due to a point source is also examined using the results of line source excitation. Both the problems are solved using the Wiener–Hopf technique and the steepest descent method. Some graphs showing the effects of various parameters on the diffracted field produced by the line source incidence are also plotted.

Słowa kluczowe

EN

diffraction; Wiener-Hopf technique; line source diffraction; point source diffraction; steepest descent method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2010
• Tom: Vol. 62, nr 2
• Strony: 157--174
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ayub M.

autor

Mann A. B.

autor

Ahmad M.

autor

Tiwana M. H.

• Department of Mathematics Quaid-i-Azam University Islamabd 44000 Pakistan,

Bibliografia

• 1. D.S. JONES, The theory of electromagnetism, Pergamon Press, London 1964.
• 2. D.S. JONES, Aerodynamic sound due to a source near a half-plane, J. Inst. Math. Appl., 9, 114-122, 1972.
• 3. A.D. RAWLINS, Acoustic diffraction by an absorbing semi-infinite plane in a moving fluid, Proc. H. Soc. Edin., 72, 337-357, 1974.
• 4. B. AHMAD, An improved model for noise barrier in a moving fluid, J. Math. Anal. Appl., 321, 2, 609-620, 2006.
• 5. W. HUSSAIN, Asymptotic analysis of a line source diffraction by a perfectly conducting half-plane in a bi-isotropic medium, Progress in Electromagnetics Research PIER, 58, 271-283, 2006.
• 6. M. AYUB, M. RAMZAN, A.B. MANN, Magnetic line source diffraction by an impedance step, IEEE Trans, on Antennas Propagat., AP-57, 4, 1289-1293, 2009.
• 7. N.J. VLAAH, The field from an SH-point source in a continuously layered inhomogeneous half-space, Bull. Seismic Soc. America, 56, 1305-1315, 1966-
• 8. R. BALASUBRAMANYAM, Aerodynamic sound due to a point source near a half-plane, IMA. J. of Applied Mathematics, 33, 71-81, 1972.
• 9. A. CHATTOPADHYAY, A.K. PAL, M. CHAKRABORTY, SH waves due to a point source in an inhomogeneous medium, Int. J. Non-Linear Mechanics 19, 1, 53-60, 1984.
• 10. M. AYUB, A.B. MANN, M. AHMAD, Line source and point source scattering of acoustic waves by the junction of trans-missive and soft-hard half-planes, Journal of Math. Anal. Appl., 346, 280-295, 2008.
• 11. M. AYUB, M. RAMZAN, A.B. MANN, Line source and point source diffraction by a reactive step, Journal of Modern Optics, 56. 7, 893-902, 2009.
• 12. M. AYUB, M.H. TIWANA, A.B. MANN, M. RAMZAN, Diffraction of waves by an oscillating source and an oscillating half-plane, Journal of Modern Optics, 56, 12, 1335-1340, 2009.
• 13. D.S. JONES, Acoustic and Electromagnetic waves, Clarendon Press, Oxford 1986.
• 14. E. ZAURDERER, Partial differential equations of Applied Mathematics, John Wiley and Sons. Inc. U.S.A. 1983.
• 15. A.D. RAWLINS, The. solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane, Proc- Roy. Soc. London, Ser. A, 346, 469-484, 1975.
• 16. A. BUYUKAKSOY, A note on the plane wave diffraction by a soft/hard half-plane, ZAMM. 75, 2,162-164, 1975.
• 17. B. NOBLE, The Wiener-Hopf Technique, Pergamon, London 1958.
• 18. V.G. DANIELE, On the factorization of Wiener-Hopf matrices in problems solvable with Kurd's method, IEEE trans, on Antennas Propagat. AP-26, 614-616, 1978.
• 19. A. A. KHARAPKOV, Certain cases of the. elastic equilibrium of an infinite wedge with anonsymmetric notch at the vortex, subjected to concentrated forces, Prikl. Math. Mekh. 35, 1879-1885, 1971.
• 20. A. BUYUKAKSOY, A.II. SERBEST, Matrix Wiener-Hopf factorization methods and applications to some diffraction problems, [in:] HASHIMOTO, IDEMEN, TRETYAKOV [Eds.], Analytic and Numerical Techniques in Electromagnetic Wave Theory: Chapter 5, Science House, Tokyo, Japan.
• 21. A. BUYUKAKSOY, G. CINAR, A.M. SERBEST, Scattering of plane waves by the junction of transmissive and soft/hard half-planes, ZAMP 55, 483-499, 2004.