Abstract
An expression for the electric field of a dipole near a perfectly conducting wedge has been derived to appraise the Uniform Theory of Diffraction (UTD) in regions where it is expected to deviate from the exact solution, e.g. the near field. This expression, obtained using the theory of Green’s functions, has been evaluated using numerical integration. First the solution is verified for the case of a dipole near a ground plane, which can also be calculated using image theory. Next the numerical solution for the near field is compared to results obtained with the UTD-method for different parameter configurations. The most striking difference occurs when the angle of the wedge is sharp and both the source and observer are located within a few wavelengths from the edge.
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References
Baianis, CA.: Antenna Theory. Harper and Row New York (1982)
Büy ük dura, O.M.: Radiation from Sources and Scatters near the Edge of a Perfectly Conducting Wedge. Ph.D. dissertation, The Ohio State University, Columbus, Ohio (1984)
Kedde, M.: The electric field of a dipole near a perfectly conducting wedge. Master’s thesis, University of Twente (1999)
Kouyoumjian, R.G., Pathak, P.H.: A Uniform Geometrical Theory of Diffraction for an Edge in a Perfectly Conducting Surface. Proc. IEEE 62 1448–1461 (1974)
Pathak, P.H., Kouyoumjian, R.G.: The Dyadic Diffraction Coefficient for a Perfectly Conducting Wedge. ElectroScience Lab, Dept. of Electrical Engineering, The Ohio State University, Columbus, Ohio (1970)
Stratton, J.A.: Electromagnetic Theory. McGraw-Hill, New York (1941)
Tai, C.T.: Dyadic Green’s Functions in Electromagnetic Theory, second edition. IEEE Press Piscataway (1994)
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© 2001 Springer-Verlag Berlin Heidelberg
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Kedde, M., Borsboom, PP., Traas, C.R. (2001). Appraisal of Asymptotics in Electromagnetic Field Calculations. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_14
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DOI: https://doi.org/10.1007/978-3-642-56470-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42173-3
Online ISBN: 978-3-642-56470-3
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