Green’s Functions of Axisymmetric Electric and Magnetic Fields Above Flat Boundary Surface

Abstract

Green's functions for axisymmetric electric and magnetic fields generated by annular elementary electric and fictitious magnetic charges and current, which are located above flat boundary of conducting, ideal ferromagnetic and ideal superconducting half-space are obtained. Verify the correctness of obtained functions is carried out by comparative calculations. Equipotential and power lines of considered fields and distributions of electric field strength and magnetic induction on the boundary are given. It's shown that Green's functions are the solutions of the problem of field continuation from flat boundary, which are used to determine profiles of electrodes and solenoids. Hankel's integral transformations of boundary field 1 / 3 2018 N 4 s1 distributions conditioned by annular sources are obtained. References 10, figures 3, table 1.