ABSTRACT
The chapter of the book is devoted to the Leontovich’s integral equation. This equation is the most rigorous of the equations proposed for simple radiators, and at the same time it is the most convenient, because all functions included in it are continuous, and an argument φ is absent, since in this equation integration over φ has performed. The new method of solving the equation described in the book shows that the high accuracy of this equation is related to taking into account the fields created by previous members of the series for the current when calculating subsequent members of the series. The new method allows to find the total sum of the series members at an arbitrary point on the antenna, in particular at its input, i.e. permits to solve a problem that has tormented specialists for more than half a century. It is shown that it differs slightly from a sum of the first few members of the series, i.e. the series quickly converges.
The consistent transition from the integral equation for the metal antenna to the equation for the slot antenna and further to the equations with surface impedances allows to acquaint the reader with the deep, but little-known works of Feld and Miller, the ignorance of which often leads to misunderstanding and errors. The book discusses equations for various types of antennas: metal and slotted, rectilinear and curvilinear, with reactive and resistive surface impedances, with distributed and concentrated loads, as well as for slotted antennas with surface impedance and loads, etc.
