According to the scientific literature, the momentum of a photon in a simple linear dielectric is either $\hbar\omega/(nc)$ or $n\hbar\omega/c$ with a unit vector ${ \bf \hat e}_k$ in the direction of propagation. These momentums are typically used to argue the century-old Abraham--Minkowski controversy in which the momentum density of the electromagnetic field in a dielectric is either the Abraham momentum density, ${ \bf g}_A={ \bf E}\times{ \bf H}/c$, or the Minkowski momentum density, ${ \bf g}_M={ \bf D}\times{ \bf B}/c$. The elementary optical excitations, photons, are typically known as polaritions in the particular case of light traveling in a dielectric medium. Applying the relativistic energy formula, we find that the total momentum that is attributable to a polariton in a dielectric is $\hbar\omega{ \bf \hat e}_k/c$ corresponding to a total momentum density ${ \bf g}_T=n{ \bf E}\times{ \bf B}/c$.
Categories: physics.optics