  After more than a century of debate, there remains continuing discomfort over
what is the correct expression for the electromagnetic momentum in a dielectric
medium. This is the so-called the Minkowski-Abraham controversy. We show that
there is indeed a consistent picture for the electromagnetic momentum
associated with waves in a dielectric, but one must start with the fields E and
B, not D and H as fundamental objects. The momentum flow is described by a
tensor T^EB, where the expression is identical to that in vacuum. The Minkowski
tensor and the Abraham force result from a fractured decomposition of the
material momentum. However, for well localized fields, the Minkowski momentum
is conserved, consistent with its identification as the canonical momentum.
Several cases are discussed to demonstrate that this perspective is consistent
and complete. In addition, it is shown that that care must be taken to include
momentum transfer to bound charges at dielectric interfaces to correctly
describe, for example, oblique reflections, where there is a normal component
of the electric field.
