# Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: field equations

@article{Crenshaw2020AlternativeFO, title={Alternative formulation of the macroscopic field equations in a linear magneto-dielectric medium: field equations}, author={Michael E. Crenshaw}, journal={OSA Continuum}, year={2020} }

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 equations, complementing a variety of other representations including the Ampere, Chu, Lorentz, and Minkowski formulations of continuum electrodynamics. In the new formulation of the macroscopic field equations, the material properties are carried as a renormalization of the temporal and spatial coordinates instead of as…

## References

SHOWING 1-10 OF 33 REFERENCES

Representation independent boundary conditions for a piecewise-homogeneous linear magneto-dielectric medium

- PhysicsAIP Advances
- 2019

At a boundary between two transparent, linear, isotropic, homogeneous materials, derivations of the electromagnetic boundary conditions and the Fresnel relations typically proceed from the Minkowski…

Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties

- Physics
- 2014

In a continuum setting, the energy–momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The well-defined total…

Relativistic analysis of the dielectric Einstein box: Abraham, Minkowski and total energy-momentum tensors

- Physics
- 2011

Electromagnetic forces and internal stresses in dielectric media.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

The macroscopic electromagnetic force on dielectric bodies and the related problem of the momentum conservation are discussed and it is shown that explicit assumptions on the boundary conditions at infinity remove ambiguity in the force on the semi-infinite dielectrics.

Continuum electrodynamics and the Abraham-Minkowski momentum controversy

- PhysicsSPIE NanoScience + Engineering
- 2015

Continuum electrodynamics is an axiomatic formal theory based on the macroscopic Maxwell equations and the constitutive relations. We apply the formal theory to a thermodynamically closed system…

Application of axiomatic formal theory to the Abraham--Minkowski controversy

- Physics
- 2015

We treat continuum electrodynamics as an axiomatic formal theory based on the macroscopic Maxwell--Minkowski equations applied to a thermodynamically closed system consisting of an…

The total energy--momentum tensor for electromagnetic fields in a dielectric

- Physics
- 2017

There are various formulations of energy--momentum tensors for an electromagnetic field in a linear dielectric. The total energy--momentum tensor, comprised of electromagnetic and material…

Special Theories of Relativity

- Physics
- 1952

For a homogeneous isotropic medium in which some phenomenon takes place with which is associated a limiting speed c′ and which is described by field equations which can be made covariant under linear…