LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS

LOW FREQUENCY SCATTERING BY SPHEROIDS AND DISCS

The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the correspond...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Asvestas, J S, Kleinman, R E
Format: Report
Sprache:eng
Schlagworte:
BODIES OF REVOLUTION
BOUNDARY VALUE PROBLEMS
DISKS
ELECTROMAGNETIC RADIATION
GEOMETRY
ITERATIONS
LOW FREQUENCY
Radiofrequency Wave Propagation
SCATTERING
SPECIAL FUNCTIONS(MATHEMATICS)
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Beschreibung
Zusammenfassung:The problem of scattering of a scalar plane wave by a spheroid of revolution is solved for either Dirichlet or Neumann boundary conditions, arbitrary major to minor axis ratio, and arbitrary incident direction. The solution is obtained using an iterative method applied to solutions of the corresponding potential problem and is expressed as a series of products of Legendre and trigonometric functions, and ascending powers of wave number. A recursion relation for the coefficients in this series is derived. These results are employed to calculate scattering cross sections for 2:1, 5:1 and 10:1 prolate spheroids.