Research Papers

Diffraction of Cylindrical Waves by a Transmissive Half-Plane

[+] Author and Article Information
Yusuf Ziya Umul

Department of Electronic and Communication,
Cankaya University,
Eskisehir Yolu 29. Km,
Etimesgut, Ankara 06790, Turkey
e-mail: yziya@cankaya.edu.tr

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 19, 2016; final manuscript received March 28, 2017; published online July 6, 2017. Assoc. Editor: Ronald N. Miles.

J. Vib. Acoust 139(5), 051011 (Jul 06, 2017) (5 pages) Paper No: VIB-16-1509; doi: 10.1115/1.4036470 History: Received October 19, 2016; Revised March 28, 2017

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.

Copyright © 2017 by ASME
Topics: Diffraction , Waves
Your Session has timed out. Please sign back in to continue.


Rettinger, M. , 1957, “ Noise Level Reductions of Barriers,” J. SMPTE, 66(7), pp. 391–393. [CrossRef]
Kurze, U. J. , 1974, “ Noise Reduction by Barriers,” J. Acoust. Soc. Am., 55(3), pp. 504–518. [CrossRef]
Ouis, D. , 2003, “ Noise Attenuation by a Hard Wedge-Shaped Barrier,” J. Sound Vib., 262(2), pp. 347–364. [CrossRef]
Piechowicz, J. , 2011, “ Sound Wave Diffraction at the Edge of a Sound Barrier,” Acta Phys. Pol. A, 119(6A), pp. 1040–1045. [CrossRef]
Keller, J. B. , 1962, “ Geometrical Theory of Diffraction,” J. Opt. Soc. Am., 52(2), pp. 116–130. [CrossRef] [PubMed]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Senior, T. B. A. , 1975, “ Some Extensions of Babinet's Principle,” J. Acoust. Soc. Am., 58(2), pp. 501–503. [CrossRef]
Senior, T. B. A. , 1975, “ Half Plane Edge Diffraction,” Radio Sci., 10(6), pp. 645–650. [CrossRef]
Senior, T. B. A. , 1991, “ Diffraction by a Resistive Half Plane,” Electromagnetics, 11(2), pp. 183–192. [CrossRef]
Senior, T. B. A. , and Volakis, J. L. , 1995, Approximate Boundary Conditions in Electromagnetics, IET, London, Chap. 3.
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. [CrossRef]
Jull, E. V. , 1981, Aperture Antennas and Diffraction Theory, IET, London, Chap. 7.
Umul, Y. Z. , and Yalçın, U. , 2010, “ Diffraction Theory of Waves by Resistive Surfaces,” Prog. Electromagn. Res. B, 23, pp. 1–13. [CrossRef]
Umul, Y. Z. , 2005, “ Equivalent Functions for the Fresnel Integral,” Opt. Express, 13(21), pp. 8469–8482. [CrossRef] [PubMed]
Umul, Y. Z. , 2007, “ Scattering of a Gaussian Beam by an Impedance Half-Plane,” J. Opt. Soc. Am. A, 24(10), pp. 3159–3167. [CrossRef]


Grahic Jump Location
Fig. 1

The diffraction geometry for a transmissive half-plane

Grahic Jump Location
Fig. 2

The total diffracted field in the high-frequency region

Grahic Jump Location
Fig. 3

The total diffracted field in the low-frequency region

Grahic Jump Location
Fig. 4

The GO waves in the high-frequency region

Grahic Jump Location
Fig. 5

The total wave in the high-frequency region



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In