, Volume 15, Issue 2, pp 369-394

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

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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.