An asymptotic analysis of the scattering of plane waves by a smooth convex cylinder
Article first published online: 7 DEC 2012
Copyright 1979 by the American Geophysical Union.
Volume 14, Issue 3, pages 419–435, May-June 1979
How to Cite
1979), An asymptotic analysis of the scattering of plane waves by a smooth convex cylinder, Radio Sci., 14(3), 419–435, doi:10.1029/RS014i003p00419.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Revised: 15 NOV 1978
- Manuscript Received: 21 APR 1978
An approximate asymptotic high-frequency result which is convenient for engineering applications is obtained for the field exterior to a smooth perfectly conducting convex cylinder when it is illuminated by a plane wave. This result is uniform in the sense that it remains valid within the transition regions adjacent to the shadow boundaries where the pure ray optical solution based on the geometrical theory of diffraction (GTD) fails, and it automatically reduces to the GTD solution exterior to the transition regions where the latter solution becomes valid. Furthermore, this result is expressed in the simple format of the GTD, and it employs the same ray paths as in the GTD solution. This uniform result is not valid in the close neighborhood of the cylinder; hence a separate asymptotic result is presented for this special case in a form which is also convenient for applications. The asymptotic results presented here are useful for predicting the patterns of antennas radiating in the presence of convex conducting cylindrical structures.