Timedomain study of arbitrary dipole in planar geometry with discontinuity in permittivity and permeability
Abstract
Transient fields arising from a general impulsive dipole above ground characterized by permittivity and permeability are studied. A detailed analysis for arbitrary electric dipole excitation is given, and the fields arising from the analog magnetic sources can be obtained by applying the duality transform. The mathematical description of this problem is done using the Hertz vector, whose solution in the time domain is derived in a novel way using the exact image theory. From this solution, which involves a definite integral, the actual fields are obtained through simple differentiations. The efficiency of the method is demonstrated by solving 14 previously unknown closedform results for various field components in certain specific cases. Seven of these are obtained for electric dipole excitation and listed, whereas the corresponding results in the case of magnetic excitation can be easily written by applying the duality transform.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 May 1991
 DOI:
 10.1109/8.81507
 Bibcode:
 1991ITAP...39..698N
 Keywords:

 Antenna Radiation Patterns;
 Dipole Antennas;
 Duality Theorem;
 Magnetic Permeability;
 Permittivity;
 Discontinuity;
 Electric Potential;
 Fourier Transformation;
 Communications and Radar