Time-dependent scalar Beltrami-Hertz potentials in free space

W. S. Weiglhofer, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We have solved the Beltrami-Maxwell equations for free space in terms of time-dependent scalar functions, the so-called scalar Beltrami-Hertz potentials. The two Beltrami fields have been represented in terms of scalar Beltrami-Hertz potentials. While the method is formulated for general sources, it is at its most powerful when the impressed source current densities are unidirectional: each Beltrami field, a complex-valued vector, can then be derived from a single scalar Beltrami-Hertz potential. We have calculated the corresponding scalar Green function explicity and given closed-form solutions for dipolar sources. Finally, the connection between the Beltrami-Maxwell formalism and conventional electromagnetic theory has been re-affirmed.

Original languageEnglish (US)
Pages (from-to)1015-1026
Number of pages12
JournalInternational Journal of Infrared and Millimeter Waves
Volume15
Issue number6
DOIs
StatePublished - Jun 1 1994

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Maxwell equations
Green's function
Current density
scalars
Maxwell equation
Green's functions
current density
electromagnetism
formalism

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy (miscellaneous)
  • Electrical and Electronic Engineering

Cite this

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Time-dependent scalar Beltrami-Hertz potentials in free space. / Weiglhofer, W. S.; Lakhtakia, Akhlesh.

In: International Journal of Infrared and Millimeter Waves, Vol. 15, No. 6, 01.06.1994, p. 1015-1026.

Research output: Contribution to journalArticle

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