A Hertzian dipole situated at the origin and oriented along the x-axis carries a current I1 = I0 cos vt. A second Hertzian dipole, having the same length and also situated at the origin but oriented along the z-axis, carries a current I2 = I0 sin vt. Find the polarization of the radiated electric field at (a) a point on the x-axis, (b) a point on the z-axis, (c) a point on the y-axis, and (d) a point on the line x = y, z = 0.
2. Find the ratio of the currents in two antennas having directivities D1 and D2 and radiation resistances Rrad 1 and Rrad 2 for which the maximum radiated power densities are equal.