chapter  8
38 Pages

Method of Complex Potential for Three-Dimensional Problems

WithBoris Levin

A three-dimensional problem is solved only in a few particular cases, whereas a two-dimensional problem was considered more widely— for the different number of wires and for various shape of their cross-section. In this connection an attempt to use the solution results of two-dimensional problems for electrostatic fields' calculations in three-dimensional problems is of interest. An antenna consisting of a metallic and a slot radiator of identical shape and dimensions needn't be necessarily flat. Variants of flat self-complementary radiators characteristics of these antennas are independent from frequency. The main distinctive property of such antennas is the constancy of angles between the limitative lines of the metallic elements of the antenna. The metallic radiator is performed in the form of the system of wires divergent at same angles from the lower vertex of a triangle. This antenna with allowance for mirror image is the flat radiator consisting of metallic and slot radiators of the same shape and dimensions.