On the longitudinal component of the Green's function dyadic

Discussion of the divergenceless property of the right-hand side of the dyadic-wave equation for the Green's dyad has centered on the inconsistency of expanding the Green's dyad only in terms of transverse-wave functions. By including the longitudinal functions in the Ohm-Rayleigh expansio...

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Bibliographic Details
Published in:Proceedings of the IEEE 1974-01, Vol.62 (12), p.1704-1705
Main Author: Howard, A.Q.
Format: Article
Language:English
Subjects:
Current
Geometry
Green's function methods
Hydrogen
Integral equations
Partial differential equations
Particle scattering
Rayleigh scattering
Telecommunications
US Department of Commerce
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Summary:Discussion of the divergenceless property of the right-hand side of the dyadic-wave equation for the Green's dyad has centered on the inconsistency of expanding the Green's dyad only in terms of transverse-wave functions. By including the longitudinal functions in the Ohm-Rayleigh expansion of the dyad, a simple closed form expression for the longitudinal component is derived which yields the expected singular quasi-static field. The result is verified in a coordinate independent manner with the aid of the Helmholtz theorem.
ISSN:0018-9219
1558-2256
DOI:10.1109/PROC.1974.9686