Write the Hertzian dipole electric field whose components are given in Eqs. (15) and (16) in the near zone in free space where kr << 1. In this case, only a single term in each of the two equations survives, and the phases, δ_rand δ_θ, simplify to a single value. Construct the resulting electric field vector and compare your result to the static dipole result (Eq. (36) in Chapter 4). What relation must exist between the static dipole charge, Q, and the current amplitude, I₀, so that the two results are identical?

Eqs. (15)

Eqs. (16)

Eqs. (36)

Transcribed Image Text:

יניו 1/2 Iod n|1+ 2n r2 cos 0 exp[- j(kr Ers – 8,)] (kr)2 1/2 Iokd n|1 4πε (kr)² sin 0 exp[-j(kr – 80)] Ees (kr)4