Title :
Spherical-multipole analysis of electromagnetic and acoustical scattering by a semi-infinite elliptic cone
Author_Institution :
Dept. of Electr. Eng., Ruhr-Univ., Bochum, Germany
fDate :
4/1/1996 12:00:00 AM
Abstract :
The spherical-multipole analysis of scalar scattering by an acoustically soft or hard elliptic cone, and of electromagnetic scattering by a perfectly conducting elliptic cone, are presented. The series expansions of the exact solutions are of poor convergence, if both source and field points are far from the cone´s tip. A mathematical transformation for the acceleration of convergence-due to Euler-is applied to these expansions, to numerically determine the scattering cross sections of these objects. This powerful method can also be used for the numerical evaluation of diffraction coefficients. The paper contains a review of scientific work concerning scattering by objects with edges, corners, tips, etc
Keywords :
acoustic wave diffraction; acoustic wave scattering; conductors (electric); convergence of numerical methods; electromagnetic wave diffraction; electromagnetic wave scattering; reviews; series (mathematics); transforms; Euler; acoustical scattering; acoustically hard elliptic cone; acoustically soft elliptic cone; convergence acceleration; corners; diffraction coefficients; edges; electromagnetic scattering; exact solutions; field points; mathematical transformation; perfectly conducting elliptic cone; review; scalar scattering; scattering cross sections; scientific work; semiinfinite elliptic cone; series expansions; source points; spherical-multipole analysis; tips; Acceleration; Acoustic scattering; Books; Electromagnetic analysis; Electromagnetic scattering; Integral equations; Optical diffraction; Optical scattering; Physical theory of diffraction; Shape;
Journal_Title :
Antennas and Propagation Magazine, IEEE
