Abstract
The decomposition of the electromagnetic field into longitudinal, transverse electric, and transverse magnetic field types is examined in relation to a similar decomposition of the sources. In general, three independent scalar aspects of the current and charge densities must be specified to provide longitudinal and transverse electromagnetic fields. If, in addition, it is required that the sources be continuous and spatially localized functions, only two independent scalar aspects of the sources are needed to provide the electromagnetic fields outside the sources.
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