Search results for "Elliptic coordinate system"

showing 2 items of 2 documents

Full modal analysis of confocal coaxial elliptical waveguides

2000

An efficient method for analysing confocal coaxial elliptical waveguides is presented. Using elliptical coordinates, the differential Helmholtz equation is transformed into a linear matrix eigenvalue problem by means of the method of moments. The expressions of the vector mode functions for the full spectrum of these guides are constructed, including the TEM, TM and TE modes. The convergence of the method is very good, giving an efficient and accurate code. Comparisons with numerical results found in the technical literature validate the presented theory.

Helmholtz equationComputer Networks and Communicationsbusiness.industryModal analysisMethod of moments (statistics)Transverse modeOpticsConvergence (routing)Electrical and Electronic EngineeringCoaxialbusinessEigenvalues and eigenvectorsElliptic coordinate systemMathematicsIEE Proceedings - Microwaves, Antennas and Propagation
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Potential and energy of some spheroidal charge distributions with azimuthal symmetry

1989

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.

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 systemJournal of Electrostatics
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