6533b7d8fe1ef96bd126b5ef

RESEARCH PRODUCT

Potential and energy of some spheroidal charge distributions with azimuthal symmetry

F. PomerJ. Navasquillo

subject

PhysicsCurvilinear coordinatesBipolar cylindrical coordinatesMathematical analysisSpherical coordinate systemProlate spheroidal coordinatesCondensed Matter PhysicsSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsClassical mechanicsCylindrical coordinate systemElectrical and Electronic EngineeringElliptic cylindrical coordinatesPoisson's equationBiotechnologyElliptic coordinate system

description

Abstract The Poisson equation is solved for three types of spheroidal charge distributions with azimuthal symmetry, namely, those depending on one cartesian coordinate, on the radial cylindrical coordinate and on the radial spherical coordinate. The energy of such distributions is found for the case of power functions of these coordinates and it has been normalized, computed and plotted for some low values of the exponent.

https://doi.org/10.1016/0304-3886(89)90079-x