LAUSR

This paper addresses the fundamental and practical problem of colineal phased array electromagnetic radiation by formulating a general and robust theory that is applicable to any number of elements, scanning angle, array weights, element distribution, interelement spacing, and element length. The theory does not rest on any assumptions and does not invoke any approximations, such as discounting the impact of the element factor. The results from the theory are exact. Further support of the theory is provided by showing how the mutual resistance between elements is determined exactly for any specified element length and distribution. Examples are provided by considering both uniform and Chebyshev arrays with current distributions across individual elements that are either uniform or those associated with a wire dipole antenna of any length. Validation is accomplished by an independent numerical integration of the Poynting radiation integral. Setting aside imperfections associated with numerical round-off errors, we claim that the agreement between data sets is exact.