Fundamental System of Equations for Electromagnetic Field Momentum and Energy in an Inhomogeneous Medium. II. Fundamental Equations in Cartesian Basis
A. A. Dyshekov
Kabardino-Balkarian State University, 173 Chernyshevsky Str., 360004 Nalchik, Kabardino-Balkar Republic, Russian Federation
Received: 15.01.2019; final version - 04.02.2019. Download: PDF
Fundamental equations are obtained for the momentum and energy of the electromagnetic field in the Cartesian basis in an inhomogeneous medium. These equations can be the basis for a new approach in describing the interaction of electromagnetic radiation with matter when the polarization of the medium changes locally. As shown, the separation of waves by polarization when considering problems of X-ray wave scattering on a crystal is not quite correct even in the case of an ideal crystal.
Key words: energy-momentum tensor, electromagnetic field, Maxwell tensor, Gateaux derivative, canonical form of the field tensor.
PACS: 03.50.De, 41.50.+h, 61.05.cc, 61.05.cf, 61.05.cm, 61.05.cp
Citation: A. A. Dyshekov, Fundamental System of Equations for Electromagnetic Field Momentum and Energy in an Inhomogeneous Medium. II. Fundamental Equations in Cartesian Basis, Metallofiz. Noveishie Tekhnol., 41, No. 7: 965—979 (2019) (in Russian)