On the theory of symmetric short vibrator

The rigorous solution of Hallen's integral equation for a symmetric short vibrator is given. It is shown, that distribution of the linear axial current of the vibrator is presented as l(z')=M/spl radic/(1-(2z'/h)/sup 2/), where M is the known coefficient, z' - the axial coordinate of observation point on the surface of the vibrator, and h - its length.