Integral equations for currents in one and two straight metal radiators with
exact and approximate kernel and methods of solving these equations with the help of
an iterative process, perturbation method and Moment Method are considered. Results
are generalized to the case of radiators with constant and piecewise-constant impedance
and with lumped loads. The Moment Method with piecewise-sinusoidal basic and
weighting functions is shown to correspond to the physical content of a problem and be
equivalent to division of the radiator into isolated dipoles, the self- and mutual
impedances of which are calculated by the method of induced emf.
Keywords: Approximate kernel, Basic functions, Boundary condition, Complicated
structures, Constant impedance, Entire-domain functions, Equation for a system of
radiators, Equation for two radiators, Exact kernel, Generalized method of induced
emf, Hallen’s equation, Integral equation for the current, King-Middleton’s iterative
procedure, Leontovich-Levin equation, Logarithmic singularity, Lumped loads,
Metal rod with a magnetodielectric coat, Moment method, Perturbation method,
Piecewise constant impedance, Piecewise-sinusoidal functions, Pocklington’s
equation, Radiators systems of straight wire segments, Slowing-down, Straight metal
radiator, Subdomain functions, Weighting functions.
