0000000000328620
AUTHOR
J. Navasquillo
Potential and energy of some spheroidal charge distributions with azimuthal symmetry
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.
Angular shift of an electromagnetic beam reflected by a planar dielectric interface
A mathematical procedure for obtaining theoretically an expression for the fields of a beam reflected by a planar interface separating two lossless, linear, isotropic, homogeneous media is presented. Comparison of this expression with that obtained when the beam undergoes reflection from a perfect conductor leads to the expression for the angular shift of the beam reflected by a planar dielectric interface. The cases of normal and parallel polarization of a microwave beam are considered. In the last case, a complete study for angles of incidence far and near the Brewster angle is made.
Potential and energy of oblate spheroidal charge distributions
Abstract The Poisson equation for a large class of charge distributions contained within oblate spheroids in solved and their energies are obtained. In many cases, the potential and the energy can be found by comparison with the solutions of the Poisson equation for prolate spheroidal charge distributions obtained in preceding works. The limits of validity of this comparison procedure are established. For the simplest cases the electrostatic energy is computed and, after suitable normalization, displayed graphically.
Rigorous analysis of three-dimensional beam transmission through a dielectric slab
The plane-wave-spectrum technique is applied to study the transmission of a three-dimensional beam through a dielectric slab. The electromagnetic beam radiated from an aperture antenna is represented by an angular spectrum of plane waves. The use of three different co-ordinate systems using rectangular co-ordinates allows a rigorous formulation to be obtained. The near field transmitted through a dielectric slab is obtained and compared with measurements.
Electromagnetic scattering by a strip grating with nonplanar illumination
An angular-spectrum method combined with the Galerkin procedure has been used to evaluate the electromagnetic scattering of a beam radiated by an aperture antenna after being incident obliquely upon a strip grating. Integral expressions for the transmitted and reflected fields are obtained. The incident beam radiated by the antenna is diffracted in several beams corresponding to the propagative Floquet harmonics. An angular shift of the transmitted and reflected fundamental harmonic beams has been shown. Comparison between numerical and experimental results validates this method. © 1993 John Wiley & Sons, Inc.