On the use of the Coulomb gauge in solving source-excited boundary value problems of electromagnetics

Author

Michalski, Krzysztof A. ; Nevels, Robert D.

Author_Institution

Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

Volume

36

Issue

9

fYear

1988

fDate

9/1/1988 12:00:00 AM

Firstpage

1328

Lastpage

1333

Abstract

The advantages and difficulties associated with the use of the Coulomb gauge in solving source-excited boundary value problems of electromagnetics are examined. The correct dyadic Green´s function for the Coulomb vector potential in a rectangular waveguide is derived to elucidate the discussion. The attractive feature of the Coulomb gauge is the explicit separation of the electric field into its lamellar and solenoidal constituents. A flaw in the usage of the Coulomb gauge in W.R. Smythe´s text Static and Dynamic Electricity (1968) is noted and corrected

Keywords

Green´s function methods; boundary-value problems; electromagnetic field theory; rectangular waveguides; waveguide theory; Coulomb gauge; Coulomb vector potential; dyadic Green´s function; eigenfunction expansion; electric field separation; electromagnetics; lamellar constituent; rectangular waveguide; solenoidal constituents; source-excited boundary value problems; Boundary value problems; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic waveguides; Geometry; H infinity control; Helium; Magnetic fields; Maxwell equations; Rectangular waveguides;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.3679

Filename

3679