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Alternative Representations of Source‐Excited Vector and Scalar Fields
Author(s) -
Felsen Leopold B.,
Marcuvitz N.
Publication year - 1966
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 - 10.1002/rds196616619
Subject(s) - scalar (mathematics) , scalar field , electromagnetic field , planar , reinterpretation , directivity , vector potential , mathematics , physics , theoretical physics , mathematical analysis , mathematical physics , computer science , geometry , quantum mechanics , telecommunications , acoustics , computer graphics (images) , antenna (radio) , magnetic field
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.