Pseudo-exact simple closed-form solutions for radiation and scattering from thin straight loaded and unloaded wires

A 'fictitious' hypothetical transmission line model is introduced and proved to be extremely useful in the determination of current distribution on thin straight loaded and unloaded wire antennas or scatterers. Thus, all problems of straight wire radiators and scatterers are simply treated in terms of simple transmission line conceptions, yielding simple closed-form solutions. Surprisingly enough, the obtained solutions showed remarkable agreement with the sophisticated moment method solutions except for particular lengths. Besides the expected huge saving in computation time, as compared with moment method solutions, the newly obtained simple closed-form solutions revealed, as well, a simple elegant physical picture of current distribution on straight wire scatterers. Thus while pseudo-exact antenna current distribution comprises one simple standing wave with complex propagation constant, the pseudo-exact current distribution on the unloaded scatterer comprises just two standing waves with complex propagation constant too, besides a third term having direct correspondence to the incident excitation.