TY - GEN
T1 - Schelkunoff integrals for vertical dipoles
AU - Dyab, Walid M.
AU - Sarkar, Tapan K.
AU - Salazar-Palma, Magdalena
PY - 2013
Y1 - 2013
N2 - In this paper, the problem of Sommerfeld integral tails which plagued the electromagnetic community for years is totally abolished. This is achieved by exploiting Schelkunoff integrals. As opposed to Sommerfeld integrals, the integrands in Schelkunoff's formulation exhibit a fast and monotonic decreasing behavior. Thus, the numerical convergence of Schelkunoff integrals is guaranteed as compared to Sommerfeld's which involve the integration of highly-oscillatory and slowly decaying functions over a semi-infinite contour. The new integrals are applied to formulate a solution for the problem of a vertical Hertzian dipole over an infinite imperfect ground plane.
AB - In this paper, the problem of Sommerfeld integral tails which plagued the electromagnetic community for years is totally abolished. This is achieved by exploiting Schelkunoff integrals. As opposed to Sommerfeld integrals, the integrands in Schelkunoff's formulation exhibit a fast and monotonic decreasing behavior. Thus, the numerical convergence of Schelkunoff integrals is guaranteed as compared to Sommerfeld's which involve the integration of highly-oscillatory and slowly decaying functions over a semi-infinite contour. The new integrals are applied to formulate a solution for the problem of a vertical Hertzian dipole over an infinite imperfect ground plane.
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U2 - 10.1109/APS.2013.6711022
DO - 10.1109/APS.2013.6711022
M3 - Conference contribution
AN - SCOPUS:84894119199
SN - 9781467353175
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 726
EP - 727
BT - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings
T2 - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013
Y2 - 7 July 2013 through 13 July 2013
ER -