naa a22 4500 510785433 CHVBK 20180411083300.0 cr unu---uuuuu 180411e20130201xx s 000 0 eng 10.1007/s12045-013-0016-4 doi (NATIONALLICENCE)springer-10.1007/s12045-013-0016-4 Mansuripur Masud College of Optical Sciences, The University of Arizona, 85721, Tucson, Arizona, USA aut On the foundational equations of the classical theory of electrodynamics [Elektronische Daten] [Masud Mansuripur] A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes — volumes that nevertheless contain a large number of electric and/or magnetic dipoles. Indeed, Maxwell's macroscopic equations are exact and self-consistent mathematical relations between electromagnetic fields and their sources, which consist of free charge, free current, polarization, and magnetization. When necessary, the discrete nature of the constituents of matter and the granularity of material media can be handled with the aid of special functions, such as Dirac's delta-function. The energy of the electromagnetic field and the exchange of this energy with material media are treated with a single postulate that establishes the Poynting vector S = E × H as the rate of flow of electromagnetic energy under all circumstances. Similarly, the linear and angular momentum densities of the fields are simple functions of the Poynting vector that can be unambiguously evaluated at all points in space and time, irrespective of the type of material media, if any, that might reside at various locations. Finally, we examine the Einstein-Laub force- and torque-density equations, and point out the consistency of these equations with the preceding postulates, with the conservation laws, and with the special theory of relativity. The set of postulates thus obtained constitutes a foundation for the classical theory of electrodynamics. Indian Academy of Sciences, 2013 Classical electrodynamics nationallicence Maxwell-Lorentz theory of electromagnetic systems nationallicence Lorentz force law nationallicence electromagnetic energy and momentum nationallicence Einstein-Laub force density nationallicence Abraham-Minkowski controversy nationallicence momentum of the electromagnetic field nationallicence Resonance Springer-Verlag 18/2(2013-02-01), 130-155 0971-8044 18:2<130 2013 18 12045 https://doi.org/10.1007/s12045-013-0016-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12045-013-0016-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mansuripur Masud College of Optical Sciences, The University of Arizona, 85721, Tucson, Arizona, USA aut NATIONALLICENCE 773 0- Resonance Springer-Verlag 18/2(2013-02-01), 130-155 0971-8044 18:2<130 2013 18 12045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer