Spheroidal wave functions of large frequency parameters<tex>c = kf</tex>and the radiation fields of a metallic prolate spheroid excited by any circumferential slot

1983 ◽  
Vol 31 (2) ◽  
pp. 382-389 ◽  
Author(s):  
Lang Jen ◽  
Chuan-Shui Hu
Keyword(s):  
Prolate Spheroid ◽  
Wave Functions ◽  
Spheroidal Wave Functions ◽  
Radiation Fields ◽  
Large Frequency

On electromagnetic plane wave scattering by a prolate spheroid

1980 ◽  
Vol 58 (1) ◽  
pp. 25-30 ◽  
Author(s):  
B. P. Sinha ◽  
R. H. MacPhie
Keyword(s):  
Plane Wave ◽  
Low Frequency ◽  
Resonance Region ◽  
Prolate Spheroid ◽  
Wave Functions ◽  
Angle Of Incidence ◽  
Electromagnetic Plane Wave ◽  
Spheroidal Wave Functions ◽  
Prolate Spheroidal Wave Functions ◽  
Plane Wave Scattering

The exact solution in terms of vector prolate spheroidal wave functions for scattering of a plane wave of arbitrary polarization and angle of incidence by a conducting prolate spheroid, obtained in a previous paper by the authors, is utilized to obtain the expansion in the far zone of the scattered field in terms of the much simpler spherical vector wave functions. This extends the range of such formulations, heretofore available only for the low frequency domain, to the resonance region and beyond.

On the Inverse Problem of Scattering from a Perfectly Conducting Prolate Spheroid

1972 ◽  
Vol 50 (8) ◽  
pp. 754-759 ◽  
Author(s):  
F. H. Vandenberghe ◽  
W. M. Boerner
Keyword(s):  
Inverse Problem ◽  
Electromagnetic Scattering ◽  
Scattered Field ◽  
Spherical Wave ◽  
Prolate Spheroid ◽  
Wave Functions ◽  
Prolate Spheroidal ◽  
Spheroidal Wave Functions ◽  
Prolate Spheroidal Wave Functions ◽  
Model Technique

The inverse problem of electromagnetic scattering from a prolate spheroidal scatterer is considered. The approach is based on the model technique presented in Boerner and Vandenberghe, conjecturing that the salient features of the scatterer can be determined from the far scattered field via matrix inversion. An expansion in spherical wave functions for the scattered field based on the formulation of Senior is employed instead of an expansion in prolate spheroidal wave functions. It is then shown that the characteristic parameters of the ellipse generating the prolate spheroid (the interfocal distance d and the eccentricity ε) can be directly recovered from Senior's expansion coefficients.

Prolate angular spheroidal wave functions

1983 ◽  
Vol 30 (2) ◽  
pp. 187-192 ◽  
Author(s):  
T.A. Beu ◽  
R.I. Câmpeanu
Keyword(s):  
Wave Functions ◽  
Spheroidal Wave Functions
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