Communication Uniqueness of Electromagnetic Fields Using Velocity-Dependent Gauge Potentials

This communication is a condensed version of the work by Giri et al. (2022). Vector and scalar potentials are used for convenience in solving boundary value problems involving electromagnetic (EM) fields. Common gauges are those named for Lorenz and Coulomb, both of which are special cases of what i...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 71; no. 4; pp. 3741 - 3745
Main Authors Giri, D. V., Tesche, F. M., Morgan, M. A.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Boundary value problems
Coulomb gauge
Electric potential
Electrodynamics
Electromagnetic fields
gauge invariance
gauge theory
Lorenz gauge
Magnetic fields
Maxwell equations
Propagation velocity
Time-frequency analysis
velocity gauge (v-gauge)
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Summary:This communication is a condensed version of the work by Giri et al. (2022). Vector and scalar potentials are used for convenience in solving boundary value problems involving electromagnetic (EM) fields. Common gauges are those named for Lorenz and Coulomb, both of which are special cases of what is termed the velocity gauge, or <inline-formula> <tex-math notation="LaTeX">v </tex-math></inline-formula>-gauge, where <inline-formula> <tex-math notation="LaTeX">v </tex-math></inline-formula> is an arbitrary complex propagation velocity. This generalized gauge is not usually taught to students of electrodynamics. In this communication, we briefly describe the <inline-formula> <tex-math notation="LaTeX">v </tex-math></inline-formula>-gauge, including EM field invariance, and demonstrate its application via an example.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2023.3247134