Čerenkov radiation in discontinuous media: a quantum view-point

The photon propagator in the Čerenkov radiation off a charged particle moving in a dielectric slab immersed within another dielectric medium is derived. From the vacuum-to-vacuum transition amplitude, an explicit expression is obtained for the photon number density of given frequency of photons radi...

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Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 1999-08, Vol.269 (2), p.115-122
Main Authors: Manoukian, E.B., Bantitadawit, P.
Format: Article
Language:English
Subjects:
Cherenkov radiation
Electromagnetism
electron and ion optics
Exact sciences and technology
Field theory
Fundamental areas of phenomenology (including applications)
Physics
Quantum electrodynamics
Radiation by moving charges
Čherenkov radiation
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Summary:The photon propagator in the Čerenkov radiation off a charged particle moving in a dielectric slab immersed within another dielectric medium is derived. From the vacuum-to-vacuum transition amplitude, an explicit expression is obtained for the photon number density of given frequency of photons radiated per unit path length of the particle. In particular, it is shown that near threshold, the density behaves like sin θ c rather than of the well known behavior of sin 2 θ c for uniformly extended media and may be of interest experimentally, where θ c is the Čerenkov-cone half-angle. The derived expression is applied to the visible region. The analysis is given from a field-theory view-point.
ISSN:0921-4526
1873-2135
DOI:10.1016/S0921-4526(99)00101-5