NEAR FIELDS OF THE CONSTANT-CURRENT THIN CIRCULAR LOOP ANTENNA OF ARBITRARY RADIUS

Assuming a known (constant) current distribution on the thin circular loop antenna of arbitrary radius in free space, an exact integration o f the vector potential is performed without recourse to approximations . The only restrictions on the solution variables are that the observa tion point distance must be greater than the loop radius and that the polar angle must run between 0 and pi. The resulting vector potential infinite series solution possesses a real part composed of linear comb inations of complete elliptic integrals of the first and second kind a nd an imaginary part composed of elementary functions. Thus, it is pos sible to obtain an exact solution which is valid everywhere that r > a and 0 less than or equal to theta less than or equal to pi. The elect romagnetic field components of the constant current circular loop ante nna are then determined by direct series differentiation. These soluti ons are valid in the near and induction fields, converging rapidly the re, and are also valid in the far field, although many terms of the se ries are needed for convergence.