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On the boundary-value problems and the validity of the Post constraint in modern electromagnetism

2007/07/07 by Yuri N. Obukhov, Obukhov, Yuri N., Friedrich W. Hehl +1
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Magnetic Field Sensors Techniques #Optics (physics.optics) #Quantum and Classical Electrodynamics #physics.class-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.0707.1112

Revtex, 7 pages, no figures

arxiv created 2007/07/07 · openalex publication_date 2007/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We recall that the theory of electromagnetism consists of three building blocks: (a) the inhomogeneous Maxwell equations for the electric and magnetic excitations (D,H) (which reflects charge conservation), (b) the homogeneous Maxwell equations for the electric and magnetic field strengths (E,B) (which reflects flux conservation), and (c) the constitutive relation between (D,H) and (E,B). In the recent paper \citeLakhtakia1, Lakhtakia proposed to change the standard boundary conditions in electrodynamics in order to exclude certain constitutive parameters. We show that this is inadmissible both from the macroscopic and the microscopic points of view.

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