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Multiple scattering of electromagnetic waves from two prolate spheroids with perpendicular axes of revolution
Author(s) -
Dalmas Jeannine,
Deleuil Roger
Publication year - 1993
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 - 10.1029/92rs01777
Subject(s) - spheroid , prolate spheroid , perpendicular , scattering , physics , prolate spheroidal coordinates , trigonometric functions , plane (geometry) , polar , plane wave , electromagnetic radiation , mathematical analysis , optics , classical mechanics , geometry , mathematics , quantum mechanics , chemistry , biochemistry , in vitro
A study of multiple scattering from two perfectly conducting prolate spheroids with perpendicular axes of revolution is performed, and new numerical results are given. This study is carried out with rotational‐translational addition theorems established by the authors and R. H. MacPhie. In addition, rotational‐translational addition theorems for the spheroidal vector wave functions M r and N r with a sine or cosine φ dependence necessary for this study are also established. The propagation vector of the incident plane wave is in the negative y direction, and consequently, two new expressions of the incident field in terms of series expansions of spherical and spheroidal vector wave functions with respect to the vector r are presented. Finally, multiple scattering polar patterns are shown for two identical prolate spheroids spaced 3.5 times their semimajor axis and this for two values of c , namely c = 2 and c = 5.