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Reconciliation of the Rosen and Laue theories of special relativity in a linear dielectric medium
Michael E. Crenshaw
The theory of dielectric special relativity was derived by Laue from a fundamental physical basis in Einstein's special relativity and the relativistic velocity sum rule. The Laue…
Representation Independent Boundary Conditions for a Piecewise-Homogeneous Linear Magneto-dielectric Medium
Michael E. Crenshaw
At a boundary between two transparent, linear, isotropic, homogeneous materials, derivations of the electromagnetic boundary conditions and the Fresnel relations typically proceed…
Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: Lagrangian field theory and spacetime setting
Michael E. Crenshaw
A transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardle…
Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: Field equations
Michael E. Crenshaw
We derive an alternative formulation of the field equations for macroscopic electromagnetic fields in a linear magneto-dielectric medium as an identity of the Maxwell--Minkowski eq…
Continuum Electrodynamics of a Piecewise-Homogeneous Linear Medium
Michael E. Crenshaw
The energy--momentum tensor and the tensor continuity equation serve as the conservation laws of energy, linear momentum, and angular momentum for a continuous flow. Previously, we…
The Theory of Electrodynamics in a Linear Dielectric
Michael E. Crenshaw
We adopt the continuum limit of a linear, isotropic, homogeneous, transparent, dispersion-negligible dielectric of refractive index and examine the consequences of the effectiv…