An application of Heisenberg´s Uncertainty principle to line source radiation

The Heisenberg Uncertainty principle is discussed and applied to the problem of line source radiation. As shown herein, the principle states that equation, where equation is the variance of the power pattern, equation is the variance of the square of the current distribution, I² is the power content of the current distribution and L is the length of the radiator Furthermore, the principle can also be used to determine bounds on the radiated power, directivity and radiation resistance for an arbitrary current distribution with full account of the element factor.