EXACT COMPLEX SOURCE REPRESENTATIONS OF TRANSIENT RADIATION

Exact expansions are presented for frequency-domain and time-domain fi elds generated by sources in a finite region of space. These expansion s determine the field outside the minimum sphere from the values of th e field on any sphere outside the source region, e.g., the far-field s phere. The basis functions are directionally localized monopole or mul tipole point sources located on a sphere in complex space. The frequen cy-domain expansions are first presented and then used along with the analytic Fourier transform to obtain the corresponding time-domain exp ansions.