Solving the current element problem over lossy halfspace without Sommerfeld integrations
Abstract
In this paper a new approach is presented for efficient computation of the vector potentials arising in the problem of a current element radiating over a lossy halfspace. The present approach departs from the conventional ones in that it works primarily with the transform domain representations rather than with the Sommerfeld integrals which are the corresponding spatial domain counterparts. The key step in the present method is to approximate the transforms using a suitable approximation which is valid for a wide range of parameters of practical interest. The approximated transforms can be inverted in a closed form for the horizontal component of the vector potentials (Pi sub x), and can be expressed in a computationally efficient form for the vertical component (Pi sub z). Numerical results illustrating the accuracy of the method are presented in the paper and some estimates of comparative computational times also are included.
 Publication:

Interim Technical Report Illinois Univ
 Pub Date:
 October 1978
 Bibcode:
 1978uill.reptS....M
 Keywords:

 Antenna Radiation Patterns;
 Electromagnetic Fields;
 Half Spaces;
 Vector Analysis;
 Integral Transformations;
 Maxwell Equation;
 Numerical Analysis;
 Sommerfeld Approximation;
 Communications and Radar