Application: The short dipole antenna. A short dipole is a dipole that is too long to be considered a Hertzian dipole but too short to be an arbitrarily long antenna. This usually means an antenna between λ/50 to λ/10 in length. Given: In the short dipole, the current is linear: I(z') = I0(1 - (2/l)|z'|), where I = λ/20 is the total length of the dipole and 10 is constant. Calculate:
(a) The far-field electric field intensity, magnetic field intensity, and power density.
(b) The radiation resistance and radiation pattern of the dipole.