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

  • Akhlesh Lakhtakia
Article

DOI: 10.1007/BF02096247

Cite this article as:
Lakhtakia, A. Int J Infrared Milli Waves (1994) 15: 369. doi:10.1007/BF02096247

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 inmaterial 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 ofBeltrami-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.

Keywords

Time-dependent electromagnetismBeltrami fieldsBeltrami flowsBeltrami-Maxwell postulatesSpinor theoryHomogenization theoriesMossotti-Clausius modelMaxwell Garnett model

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Akhlesh Lakhtakia
    • 1
  1. 1.Department of Engineering Science and MechanicsThe Pennsylvania State UniversityUniversity ParkUSA