Radiation from a vertical antenna over a curved stratified ground

The problem of a radial electric dipole outside a concentr icall y stratified spherical conductor, s uch a s t he earth, is formulated. The so lutioll is facilitated by considering the analo go us nonuniform transmission line for the radial modes. The genenll res ult is then t ran sform ed to a IVatson-type residue or azirnuthal rnode series, which reduces to the -known result for the hOInogeneous earth as a special case . Following a meLhod in trodllced recently by BreInmer, the residue series is converted to a n alternative expan sion, 1I1 1ich is more suitable at short distances. The leading term of this new expansion co rresponds to the case of the transmitter and receiyer over a plane stratified conducting earth .