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New image representation for dipoles near a dissipative earth 1. Discrete images
Author(s) -
Mahmoud Samir F.,
Metwally Ahmed D.
Publication year - 1981
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs016i006p01271
Subject(s) - dipole , multipole expansion , dissipative system , electrical impedance , image (mathematics) , displacement (psychology) , physics , representation (politics) , computational physics , mathematical analysis , optics , classical mechanics , mathematics , computer science , artificial intelligence , quantum mechanics , politics , political science , law , psychology , psychotherapist
The image theory for dipoles above an imperfectly conducting earth which has been developed by Wait, among others, is used to compute the change in the input impedance of a vertical magnetic dipole (VMD) due to the presence of the earth. Comparison with a previously developed rigorous solution is made and a good agreement is obtained, particularly when the conduction currents in the earth dominate over the displacement currents. Extension of the‐single image theory is made in two ways. First, multi‐images which are spread in space are used to represent the effect of the earth. Second, multipole sources having the same location are used. Both representations have shown a noticeable improvement over the single image in relation to computational results on the input impedance of a VMD.