Four Poynting theorems

@article{Kinsler2009FourPT,
  title={Four Poynting theorems},
  author={Paul Kinsler and Alberto Favaro and Martin W. McCall},
  journal={European Journal of Physics},
  year={2009},
  volume={30},
  pages={983-993}
}
The Poynting vector is an invaluable tool for analysing electromagnetic problems. However, even a rigorous stress–energy tensor approach can still leave us with the question: is it best defined as E × H or as D × B? Typical electromagnetic treatments provide yet another perspective: they regard E × B as the appropriate definition, because E and B are taken to be the fundamental electromagnetic fields. The astute reader will even notice the fourth possible combination of fields, i.e. D × H… 

Tables from this paper

Electromagnetism, axions, and topology: A first-order operator approach to constitutive responses provides greater freedom
We show how the standard constitutive assumptions for the macroscopic Maxwell equations can be relaxed. This is done by arguing that the Maxwellian excitation fields (D, H) should be dispensed with,
Poynting vector controversy in axion modified electrodynamics
The most sensitive haloscopes that search for axion dark matter through the two photon electromagnetic anomaly, convert axions into photons through the mixing of axions with a large background DC
Electromagnetic-Energy Flow in Anisotropic Metamaterials: The Proper Choice of Poynting’s Vector
We study the controversy about the proper determination of the electromagnetic energy-flux field in anisotropic materials, which has been revived due to the relatively recent experiments on negative
Abraham and Minkowski Poynting vector controversy in axion modified electrodynamics
The most sensitive haloscopes that search for axion dark matter through the two photon electromagnetic anomaly, convert axions into photons through the mixing of axions with a large background DC
Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge
A careful examination of the fundamentals of electromagnetic theory shows that due to the underlying mathematical assumptions required for Stokes' Theorem, global charge conservation cannot be
Maxwell’s ( D, H ) excitation fields: lessons from permanent magnets
Macroscopic Maxwellian electrodynamics consists of four field quantities along with electric charges and electric currents. The fields occur in pairs, the primary ones being the electric and magnetic
Nonlinear Maxwell equations and the Poynting theorem
Considering that classical electrodynamics is essentially a covariant theory, we propose a simple heuristic approach to nonlinear Maxwell equations where certain scalar fields are coupled to the
Vector Bessel beams: general classification and scattering simulations
Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains
Electromagnetic Energy Balance Equations and Poynting Theorem
Poynting theorem plays a very important role in analyzing electromagnetic phenomena. The electromagnetic power flux density is usually expressed with the Poynting vector. However, since Poynting
...
...

References

SHOWING 1-10 OF 82 REFERENCES
Colloquium: Momentum of an electromagnetic wave in dielectric media
Almost a hundred years ago, two different expressions were proposed for the energy-momentum tensor of an electromagnetic wave in a dielectric. Minkowski's tensor predicted an increase in the linear
Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible.
TLDR
It is argued that the second law of thermodynamics requires that the volume contribution be positive and that this requirement, in turn, prohibits negative refraction and holds for active or passive media and in the presence of anisotropy and spatial dispersion.
Theory of directional pulse propagation: detailed calculations
I construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's
Theory of directional pulse propagation
We construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions, respectively, and use these to reformulate Maxwell's
Comment on “Casimir force acting on magnetodielectric bodies embedded in media”
In a recent paper [Raabe and Welsch, Phys. Rev. A 71, 013814 (2005)] an electromagnetic energy-momentum tensor is suggested as an alternative to the Abraham-Minkowski tensor and is applied to
Energy and Energy Flow in the Electromagnetic Field
A new method for deriving the usual Poynting vector is given. This method also yields other equally valid energy flow vectors with the same or other equally valid postulated electromagnetic energy
About Poynting's theorem
The authors review the general question of the physical interpretation of Poynting's theorem and compare two typical derivations of it. One of these uses the work done on a charge by an external
Electromagnetic processes in dispersive media : a treatment based on the dielectric tensor
Part I. Electromagnetic Fields in Vacuo: 1. Electromagnetic fields 2. Cartesian tensors 3. The stress tensor and multipole moments 4. Fourier transforms 5. Greens functions Part II. The
Transverse limits on the uni-directional pulse propagation approximation
I calculate the limitations on the widely-used forward-only (uni-directional) propagation assumption by considering the effects of transverse effects (e.g. diffraction). The starting point is the
...
...