Derivation of the Lorentz potentials

Author

Mautz, Joseph R.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Syracuse Univ., NY, USA

Volume

39

Issue

1

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

52

Lastpage

55

Abstract

The article [Schwab et al., 1996] on semantics of the irrotational component of the magnetic vector potential inspired the following alternative derivation of the expressions for the magnetic field, H, and the electric field, E, in terms of the Lorentz potentials. The artifice of the Lorentz gauge is not used in this derivation. Instead, the Lorentz potentials are required to satisfy differential equations akin to those satisfied by the Coulomb potentials. The Lorentz vector potential, A_L, is constructed by adding what turns out to be an irrotational vector, A_irr, to the Coulomb vector potential, A_C. The Lorentz scalar potential, φ_L, is constructed by adding a scalar, φ, to the Coulomb scalar potential, φ_C

Keywords

antenna theory; dipole antennas; electromagnetic field theory; Coulomb potentials; Coulomb scalar potential; Lorentz gauge; Lorentz potentials; Lorentz scalar potential; Lorentz vector potential; electric field; irrotational component; irrotational vector; magnetic field; magnetic vector potential; Current; Differential equations; Frequency domain analysis; Magnetic fields; Partial differential equations; Permittivity;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.583519

Filename

583519