Abstract

LEY-KOO, E.. Complete pure dipole spheroidal electrostatic fields and sources. Rev. mex. fís. E [online]. 2009, vol.55, n.1, pp.1-7. ISSN 1870-3542.

Pure dipole distributions of electric charges on the surfaces of prolate and oblate spheroids are identified from the construction of the respective electrostatic potential and intensity fields, inside and outside the spheroids. The Euler connection between the respective prolate and oblate dipole spheroidal harmonics is emphasized; their transition via the spherical harmonics is also recognized; and their limits of a needle surface and a disk surface, respectively, are readily obtained.

Keywords : Pure dipole electrostatic fields and sources; prolate and oblate spheroidal harmonics; Euler connection.