The scattered acoustic waves by a transmissive half-plane, which is illuminated by a line source, are investigated. The high-frequency diffracted wave expressions are obtained by taking into account a resistive half-screen that is defined in electromagnetics. The uniform diffracted fields are expressed in terms of the Fresnel cylinder functions. The behavior of the waves is compared with the case when the uniform theory of diffraction is considered. The geometrical optics and diffracted fields are examined numerically.
Issue Section:
Research Papers
References
1.
Rettinger
, M.
, 1957
, “Noise Level Reductions of Barriers
,” J. SMPTE
, 66
(7
), pp. 391
–393
.2.
Kurze
, U. J.
, 1974
, “Noise Reduction by Barriers
,” J. Acoust. Soc. Am.
, 55
(3
), pp. 504
–518
.3.
Ouis
, D.
, 2003
, “Noise Attenuation by a Hard Wedge-Shaped Barrier
,” J. Sound Vib.
, 262
(2
), pp. 347
–364
.4.
Piechowicz
, J.
, 2011
, “Sound Wave Diffraction at the Edge of a Sound Barrier
,” Acta Phys. Pol. A
, 119
(6A
), pp. 1040
–1045
.5.
Keller
, J. B.
, 1962
, “Geometrical Theory of Diffraction
,” J. Opt. Soc. Am.
, 52
(2
), pp. 116
–130
.6.
Kouyoumjian
, R. G.
, and Pathak
, P. H.
, 1974
, “A Uniform Geometrical Theory of Diffraction for an Edge in a Perfectly Conducting Surface
,” Proc. IEEE
, 62
(11
), pp. 1448
–1461
.7.
Rawlins
, A. D.
, 1977
, “Diffraction by an Acoustically Penetrable or an Electromagnetically Dielectric Half Plane
,” Int. J. Eng. Sci.
, 15
(9–10
), pp. 569
–578
.8.
Rawlins
, A. D.
, Mesiter
, E.
, and Speck
, F.-O.
, 1991
, “Diffraction by an Acoustically Transmissive or an Electromagnetically Dielectric Half-Plane
,” Math. Methods Appl. Sci.
, 14
(6
), pp. 387
–402
.9.
Büyükaksoy
, A.
, Çınar
, G.
, and Serbest
, A. H.
, 2004
, “Scattering of Plane Waves by the Junction of Transmissive and Soft-Hard Half-Planes
,” Z. Angew. Math. Phys.
, 55
(3
), pp. 483
–499
.10.
Senior
, T. B. A.
, 1975
, “Some Extensions of Babinet's Principle
,” J. Acoust. Soc. Am.
, 58
(2
), pp. 501
–503
.11.
Senior
, T. B. A.
, 1975
, “Half Plane Edge Diffraction
,” Radio Sci.
, 10
(6
), pp. 645
–650
.12.
Senior
, T. B. A.
, 1991
, “Diffraction by a Resistive Half Plane
,” Electromagnetics
, 11
(2
), pp. 183
–192
.13.
Senior
, T. B. A.
, and Volakis
, J. L.
, 1995
, Approximate Boundary Conditions in Electromagnetics
, IET
, London
, Chap. 3.14.
Umul
, Y. Z.
, 2016
, “Diffraction of Cylindrical Waves by a Perfectly Conducting Half-Screen: A Modified Theory of Physical Optics Solution
,” Microwave Opt. Technol. Lett.
, 58
(8
), pp. 1996
–2001
.15.
Jull
, E. V.
, 1981
, Aperture Antennas and Diffraction Theory
, IET
, London
, Chap. 7.16.
Umul
, Y. Z.
, and Yalçın
, U.
, 2010
, “Diffraction Theory of Waves by Resistive Surfaces
,” Prog. Electromagn. Res. B
, 23
, pp. 1
–13
.17.
Umul
, Y. Z.
, 2005
, “Equivalent Functions for the Fresnel Integral
,” Opt. Express
, 13
(21
), pp. 8469
–8482
.18.
Umul
, Y. Z.
, 2007
, “Scattering of a Gaussian Beam by an Impedance Half-Plane
,” J. Opt. Soc. Am. A
, 24
(10
), pp. 3159
–3167
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