Time-dependent scalar Beltrami-Hertz potentials in free space

W. S. Weiglhofer, A. Lakhtakia

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number6
StatePublished - Jun 1994

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Instrumentation
  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering
  • Physics and Astronomy (miscellaneous)


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