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High‐Frequency Backscattering From a Finite Cone
Author(s) -
Senior T. B. A.,
Uslenghi P. L. E.
Publication year - 1971
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs006i003p00393
Subject(s) - fresnel integral , bessel function , caustic (mathematics) , optics , cone (formal languages) , plane wave , mathematics , plane (geometry) , diffraction , radius , angle of incidence (optics) , physics , range (aeronautics) , oblique case , ligand cone angle , geometry , arc (geometry) , fresnel diffraction , materials science , computer science , linguistics , philosophy , algorithm , conical surface , computer security , composite material
The high‐frequency backscattered field produced by a plane electromagnetic wave at oblique incidence on a perfectly conducting, right circular cone with a flat base is considered. The first two terms of the asymptotic expansion are obtained by applying the geometrical theory of diffraction; these terms reduce to results derived earlier in the particular case of a circular disk. Owing to the axial caustic, functions must be introduced to match the wide‐angle formulas to the known results for nose‐on incidence. This matching is effected by employing Bessel functions and Fresnel integrals for the first‐ and second‐order terms, respectively. The resulting expressions are valid for all cone angles and for a wide range of aspect angles about nose‐on; they are also found to be in good agreement with experimental data.