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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.

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Copyright © 2017 by ASME
Topics: Diffraction , Waves
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References

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Figures

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

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