An approximate solution for Epolarization coupling into a coaxial cylinder with an infinite axial slot
Abstract
An approximate solution is derived for determining the total current induced on a centrally located conducting wire within a twodimensional axially slotted cylinder for the case of Epolarization. Its validity is tested against a full momentmethod numerical solution of the describing integral equation. The derivation of the approximate solution is similar to the hollowcylinder case presented by Morse and Feshbach (1953) in that the same basic form for the aperture distribution is assumed. A rapidly converging series solution is developed which is shown to be valid for an electrically 'narrow' slot (accurate for apertures up to one wavelength wide) over a rather broad frequency spectrum. Though the aperture must be electrically narrow, many practical coupling problems of interest can be accomodated. Useful insight into coupling phenomena is obtained by direct inspection of the solution, and some novel observations about the current response are made.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 March 1989
 DOI:
 10.1109/8.18731
 Bibcode:
 1989ITAP...37..347R
 Keywords:

 Electric Current;
 Electric Wire;
 Electromagnetic Coupling;
 Polarization (Waves);
 Slot Antennas;
 Bessel Functions;
 Cavities;
 Cylindrical Antennas;
 Hankel Functions;
 Wave Functions;
 Communications and Radar