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On the irrotational component of the electric Green's dyadic
Author(s) -
Johnson W. A.,
Howard A. Q.,
Dudley D. G.
Publication year - 1979
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/rs014i006p00961
Subject(s) - conservative vector field , singularity , component (thermodynamics) , point (geometry) , term (time) , mathematical analysis , mathematics , physics , geometry , mechanics , quantum mechanics , compressibility
It is shown that the dominant singularity of the electric Green's dyadic is proportional to the irrotational part of the unit delta dyadic. Contrary to statements in the literature, this term does not vanish identically away from the source. Therefore in the full three‐dimensional eigenf unction expansion of the Green's dyadic, one must account for the contribution due to the irrotational vector wave functions, even in a source free region. In the recent literature on this subject this point is in controversy. The apparent contradications are discussed and the differences resolved.