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Diffraction of Cylindrical Waves by a Transmissive Half-Plane
(Asme, 2017) Umul, Yusuf Ziya; Ziya Umul, Yusuf
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.
Citation - WoS: 6
Citation - Scopus: 5
A New Representation of the Kirchhoffs Diffraction Integral
(Elsevier Science Bv, 2013) Umul, Yusuf Ziya; Ziya Umul, Yusuf
The diffraction integral of Kirchhoff is rearranged according to its integral boundaries. The new approach is based on the theory of the edge dislocation waves and provides a more correct field representation for the semi-infinite and infinite integrals in the direct numerical computation. The integral is studied on the diffraction problem of plane waves by a perfectly conducting half-plane. The correctness of the scattering diagrams is compared with the classical approach and the Fresnel integral representation of the scattered waves numerically. (c) 2012 Elsevier B.V. All rights reserved.

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