A simple approximation of the Maliuzhinets function for describing wedge diffraction

• Published in: IEEE transactions on antennas and propagation Vol. 53; no. 8; pp. 2773 - 2776
• Main Author: Osipov, A.V.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-08-2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Applied sciences; Approximation; Approximation methods; Computational modeling; Dielectric materials; Difference equations; Diffraction; Diffraction, scattering, reflection; Electromagnetic diffraction; Electromagnetic scattering; Exact sciences and technology; functions; geometrical theory of diffraction (GTD); Illumination; Impedance; Lighting; Mathematical analysis; Mathematical models; Physical theory of diffraction; Radar cross section; Radiocommunications; Radiowave propagation; Telecommunications; Telecommunications and information theory; Vehicles; Wedges; Electromagnetic wave scattering; geometrical theory of diffraction (GTD); Approximation; functions; Electromagnetic wave diffraction; physical theory of diffraction; Geometrical optics; impedance; Difference equation; Approximation methods; Wedge; difference equations; wedges; electromagnetic diffraction; electromagnetic scattering
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2005.851795

A new approximation of the Maliuzhinets function /spl psi//sub /spl Phi//(/spl alpha/) by a single cosine function is proposed. This is the simplest approximation of the function available in the literature. The use of the cosine approximation permits representing fields scattered by nonmetallic wedges in terms of elementary functions only. The accuracy of the approximation, as applied to the case of an impedance wedge under normal illumination, is estimated both analytically and numerically.