Abstract
The retarded Hertz vector, obtained earlier [J. Math. Phys. 11, 9 (1970)], is differentiated to give the scalar potential and the electric-field vector associated with a general transient source-current distribution. The scalar and vector quantities are expanded in terms of scalar and vector spherical harmonics. For each mode, characterized by specific values for n and m in the expansions, the scalar potential and electric-field vector are expressed in the (r, t) plane as two-dimensional integrals over the causally accessible portion of the source-current distribution.
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