Time-dependent beltrami fields in material continua: The Beltrami-Maxwell postulates

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Abstract

Time-dependent Beltrami fields in free space follow very naturally from the Maxwell postulates. In this paper, a comprehensive but elementary treatment of time-dependent Beltrami fields in material continua is enunciated. Field equations in free space have been derived and solved, and a scheme for the general representation of Beltrami fields has been given. Field relations in material continua have been set up in the form of Beltrami-Maxwell postulates, along with appropriate constitutive relations for linear materials. Monochromatic Beltrami field formulation in free space as well as in linear materials has been accomplished. The Mossotti-Clausius model, to enable the transition from the microscopic to the macroscopic length scales, has been given entirely in terms of Beltrami fields.

Original languageEnglish (US)
Pages (from-to)369-394
Number of pages26
JournalInternational Journal of Infrared and Millimeter Waves
Volume15
Issue number2
DOIs
StatePublished - Feb 1 1994

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axioms
continuums
formulations

All Science Journal Classification (ASJC) codes

  • Radiation
  • Instrumentation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

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abstract = "Time-dependent Beltrami fields in free space follow very naturally from the Maxwell postulates. In this paper, a comprehensive but elementary treatment of time-dependent Beltrami fields in material continua is enunciated. Field equations in free space have been derived and solved, and a scheme for the general representation of Beltrami fields has been given. Field relations in material continua have been set up in the form of Beltrami-Maxwell postulates, along with appropriate constitutive relations for linear materials. Monochromatic Beltrami field formulation in free space as well as in linear materials has been accomplished. The Mossotti-Clausius model, to enable the transition from the microscopic to the macroscopic length scales, has been given entirely in terms of Beltrami fields.",
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AB - Time-dependent Beltrami fields in free space follow very naturally from the Maxwell postulates. In this paper, a comprehensive but elementary treatment of time-dependent Beltrami fields in material continua is enunciated. Field equations in free space have been derived and solved, and a scheme for the general representation of Beltrami fields has been given. Field relations in material continua have been set up in the form of Beltrami-Maxwell postulates, along with appropriate constitutive relations for linear materials. Monochromatic Beltrami field formulation in free space as well as in linear materials has been accomplished. The Mossotti-Clausius model, to enable the transition from the microscopic to the macroscopic length scales, has been given entirely in terms of Beltrami fields.

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