Improvement of the Rayleigh approximation for scattering from a small scatterer

An improvement of the Rayleigh approximation for electromagnetic scattering from an arbitrary small scatterer is developed through solving the conventional integro-differential equation governing the electric field inside the scatterer. The improvement is represented by an equivalent polarizability...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 1995-07, Vol.43 (7), p.681-688
Main Authors: Karam, M.A., Levine, D.M., Antar, Y.M.M., Stogryn, A.
Format: Article
Language:English
Subjects:
Absorption
Applied sciences
Diffraction, scattering, reflection
Electromagnetic scattering
Energy conservation
Equations
Exact sciences and technology
Frequency
Ice
Particle scattering
Polarization
Radiocommunications
Radiowave propagation
Rayleigh scattering
Telecommunications
Telecommunications and information theory
Tensile stress
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Summary:An improvement of the Rayleigh approximation for electromagnetic scattering from an arbitrary small scatterer is developed through solving the conventional integro-differential equation governing the electric field inside the scatterer. The improvement is represented by an equivalent polarizability tensor differing from that used in the Rayleigh approximation in two aspects: (i) it is frequency dependent, and (ii) it gives a scattering amplitude tensor satisfying energy conservation. The energy conservation is investigated through formulating the extinction, scattering, and absorption losses according to the equivalent polarizability tensor. Numerical calculations on spheres and spheroids indicate that the present extinction loss formulation has a wider validity range than the extinction loss formulation according to the Rayleigh approximation.< >
ISSN:0018-926X
1558-2221
DOI:10.1109/8.391139