Compton Effect in the Medium with Non-unity Refractive Index
The foundations of the modern quantum theory of electro-magnetic radiation and its interaction with medium are constituted by the Einstein's theory of photo-effect and the theory of Compton effect. However, in the theory proposed by Compton and subsequent refinements, the medium features in exp...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
26.07.2013
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Subjects | |
Online Access | Get full text |
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Summary: | The foundations of the modern quantum theory of electro-magnetic radiation
and its interaction with medium are constituted by the Einstein's theory of
photo-effect and the theory of Compton effect. However, in the theory proposed
by Compton and subsequent refinements, the medium features in explicit form are
not generally accounted at all. This theory is based on the relationship
between the photon momentum and its energy that may take place only in vacuum,
but not in a medium with non-unity refractive index n. Here, we use Abraham's
representation for the momentum of a photon in medium for the creation of a new
consistent Compton effect theory accounting for media features. A new condition
under which anomalous Compton effect is possible, is defined. In our case, due
to the photon scattering on a moving electron, the photon's energy can increase
when the electron velocity is above a threshold value, in analogy with the
Vavilov-Cherenkov radiation effect. In our theory we also provide a new
description of the parameters for scattered electrons, which is important for
the experimental determination of the dependence of the Compton effect in
medium on refractive index n. |
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DOI: | 10.48550/arxiv.1307.7705 |