ELECTROMAGNETIC SCATTERING BY REGULAR POLYHEDRA.
Final rept. 18 Apr 66-17 Apr 67,
LOCKHEED MISSILES AND SPACE CO SUNNYVALE CALIF
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In the report, the spherical representation method explained in The Method of Spherical Representation for Treating Electromagnetic Scattering, Final Report, AFCRL-66-91, April 14, 1966, by W. H. Watson, is elaborated to treat electromagnetic scattering by regular polyhedra. The distant scattered field is represented by means of generalized spherical functions so formulae can be obtained that represent backscattering cross section and target scattering matrix for arbitrary direction of incidence on the scatterer of given size relative to lambda. In Part I the geometry required for applying the method is worked out explicitly for the cube. In Part II the most general form is presented for the electromagnetic equation system satisfied by the field components that can be expressed in series of generalized spherical functions. As the result of this work electromagnetic scattering problems for scatterers not large compared with lambda can be solved in terms of spherical waves from this solution the whole distant scattered field may be derived for any particular orientation of the scatterer and choice of incident polarization. Author
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