The Theory of Thin Antennas and Its Use in Antenna Engineering

Integral Equation Method

Author(s): Boris Levin

Pp: 33-67 (35)

DOI: 10.2174/9781608057733113010005

* (Excluding Mailing and Handling)


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.

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