Alternative Representations of Source‐Excited Vector and Scalar Fields
Open Access
- 1 June 1966
- journal article
- research article
- Published by American Geophysical Union (AGU) in Radio Science
- Vol. 1 (6) , 619-640
- https://doi.org/10.1002/rds196616619
Abstract
Radiation from electromagnetic sources in layered regions is reviewed and illustrated for the case of planar stratification. Mter a reduction of the vector field problem to equivalent scalar Green's function problems, the latter are expressed in alternative forms by the systematic application of one‐dimensional characteristic Green's function techniques. Solutions are derived in this manner without the intervention of the classical Watson procedure and are interpretable as guided‐wave representations along various coordinate directions. Considerations pertaining to scalar Green's functions apply directly, upon suitable reinterpretation of the electromagnetic parameters, to other fields such as the acoustic which are derivable from scalar potentials.Keywords
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