Low‐frequency dipolar electromagnetic scattering by a solid ellipsoid in lossless environment

2020 ◽  
Vol 145 (2) ◽  
pp. 217-246
Author(s):  
Panayiotis Vafeas
Keyword(s):  
Electromagnetic Scattering ◽  
Low Frequency

A Perturbation Method for Low-Frequency Fluid-Structure Interaction Problems

1973 ◽  
Vol 40 (2) ◽  
pp. 388-394 ◽  
Author(s):  
Y. K. Lou
Keyword(s):  
Wave Equation ◽  
Perturbation Method ◽  
Electromagnetic Scattering ◽  
Perturbation Methods ◽  
Separation Of Variables ◽  
Fluid Structure Interaction ◽  
Low Frequency ◽  
Approximate Solutions ◽  
Fluid Structure ◽  
Structure Interaction

Perturbation methods have been used for electromagnetic scattering and diffraction problems in recent years. A similar method suitable for low-frequency fluid-structure interaction problems is presented. The essence of the method lies in the fact that approximate solutions for fluid-structure interaction problems can be obtained from a set of Poisson’s equations, rather than from the reduced wave equation. The method is particularly useful for those problems where the Poisson’s equation may be solved by the method of separation of variables while the reduced wave equation cannot. As an illustrative example, the vibrations of a submerged spherical shell is studied using the perturbation method and the accuracy of the method is demonstrated.

Electromagnetic scattering by a perfectly conducting elliptic disk

1987 ◽  
Vol 65 (7) ◽  
pp. 723-734 ◽  
Author(s):  
Jonas Björkberg ◽  
Gerhard Kristensson
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Electromagnetic Scattering ◽  
Recurrence Relations ◽  
Scattering Amplitude ◽  
Azimuthal Angle ◽  
Low Frequency ◽  
Prolate Spheroid ◽  
Numerical Computations ◽  
Theoretical Results

Electromagnetic scattering from a perfectly conducting elliptic disk is treated by means of the null-field approach. The disk is obtained as the zero-thickness limit of an ellipsoid. It is shown that in this limit all relevant matrix elements have a well-defined limit. Owing to the lack of axial symmetry, an integral that can not be solved analytically remains in the azimuthal angle. In an appendix, an efficient algorithm to solve these integrals by means of recurrence relations is presented. The formalism is attractive for numerical computations, and stable results for very eccentric disks have been obtained. The first few terms in the low-frequency expansion of the total cross section are derived. Numerical computations of the scattering amplitude and the total cross section illustrate the theoretical results. In a final appendix, the thin wire limit of the elliptic disk is discussed, and a comparison with corresponding results of a prolate spheroid is presented.

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