Question: Evaluate the time-average Poynting vector, = (12) Re {E s à H s } for the Hertzian dipole, assuming the general case that involves the

Evaluate the time-average Poynting vector, = (12) Re {Es× Hˆ—s} for the Hertzian dipole, assuming the general case that involves the field components as given by Eqs. (10), (13a), and (13b). Compare your result to the far-zone case, Eq. (26).

Eqs. (10)

Iod Has r2 sin e e-jkr 4

Eqs. (13a)

n cos 0 e¯jkr r2 Ers Iod jkr3 ||

Eqs. (13b)

Iod Has r2 sin e e-jkr 4 n cos 0 ejkr r2

Eqs. (26)

Ers Iod jkr3 ||

 

Iod Has r2 sin e e-jkr 4 n cos 0 ejkr r2 Ers Iod jkr3 ||

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