A variational solution to the problem of an asymmetrical cylindrical dipole

A variational formula for the input impedance of a thin asymmetrical cylindrical dipole is derived. The dipole parts may be of the same radius or of different radii. The expression for the impedance is derived using a two-term trial function for current. Impedances of a number of asymmetrical antennas with the two parts of the same radius and of different radii are evaluated. The results are in excellent agreement with those according to the King-Wu theory in cases where the latter are available.