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DeltaV
Posts: 2245
Joined: Mon Oct 12, 2009 5:05 am

Radiation reaction and radiative losses derived from the kinetic power of the electric inertial mass of a charge
http://arxiv.org/abs/1601.05739
It is shown that formulas for radiation reaction and radiative losses from a charge can be derived from the kinetic power of its electric inertial mass. The derivation assumes a non-relativistic but otherwise an arbitrary motion of the charge. We exploit the fact that as the charge velocity changes because of a constant acceleration, there are accompanying modifications in its electromagnetic fields which can remain concurrent with the charge motion because the velocity as well as acceleration information enters into the field expression. However, if the acceleration of the charge is varying, information about that being not present in the field expressions, the electromagnetic fields get "out of step" with the actual charge motion. Accordingly we arrive at a radiation reaction formula for an arbitrarily moving charge, obtained hitherto in literature from the self-force, derived in a rather cumbersome way from the detailed mutual interaction between various constituents of a small charged sphere. This way we demonstrate that an irretrievable power loss from a charge occurs only when there is a change in its acceleration and the derived instantaneous power loss is directly proportional to the scalar product of the velocity and the rate of change of the acceleration of the charge.
losses from the kinetic power of the electric inertial
mass of a charged particle. This novel approach allowed
us, in a few simple and easy mathematical steps, to arrive
at radiative power-loss formula, obtained hitherto
in literature from very lengthy and tedious calculations
of the self-force of a charged sphere. It demonstrated
in a succinct manner the basic soundness of the assertion
that the radiation losses result from a non-uniform
acceleration of the charged system. But even more important,
it provides us a totally different physical outlook
on the energy-momentum conservation relation between
electromagnetic and mechanical phenomena in classical
electrodynamics.

D Tibbets
Posts: 2775
Joined: Thu Jun 26, 2008 6:52 am