Diffraction Fields and Fields of Charges, Expressed in Terms of Hertz Vector in Electrodynamics

Abstract

In the first part of this work, using the found vector Green’s function, the electromagnetic fields in an arbitrarily chosen volume are presented in vector form using surface and volume integrals, at which the surface integrals describe the diffraction of the field of charges external to the volume, and the volume integrals describe the fields of the charges, moving within the volume. One of the two found forms is used for the Green’s function. In this work, expressions for the electromagnetic fields are obtained using the second form of the found Green’s function. When using the second form of the vector Green’s function, the fields of charges moving inside the volume are expressed in terms of the generalized Hertz vector. The expressions obtained in this work have their advantages for determining the fields in a selected volume.