The Electrical Oscillations of a Prolate Spheroid. Paper II Prolate Spheroidal Wave Functions

1944 ◽  
Vol 65 (3-4) ◽  
pp. 98-110 ◽  
Author(s):  
Leigh Page
Keyword(s):  
Prolate Spheroid ◽  
Wave Functions ◽  
Prolate Spheroidal ◽  
Spheroidal Wave Functions ◽  
Prolate Spheroidal Wave Functions

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.

Optical System Analysis Based on Prolate Spheroidal Wave Functions

2016 ◽  
Vol 43 (6) ◽  
pp. 0609005
Author(s):  
张蓓 Zhang Bei ◽  
付东翔 Fu Dongxiang ◽  
陈家璧 Chen Jiabi ◽  
项华中 Xiang Huazhong
Keyword(s):  
Optical System ◽  
System Analysis ◽  
Wave Functions ◽  
Prolate Spheroidal ◽  
Spheroidal Wave Functions ◽  
Prolate Spheroidal Wave Functions
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