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Covariant formulation of photon acceleration

Published online by Cambridge University Press:  01 December 1997

J. T. MENDONÇA
Affiliation:
GOLP/Centro de Electrodinâmica, Instituto Superior Tecnico, 1096 Lisboa Codex, Portugal
K. HIZANIDIS
Affiliation:
Department of Electrical and Computer Engineering, National Technical University of Athens, 157 73 Athens, Greece
D. J. FRANTZESKAKIS
Affiliation:
Department of Physics, University of Athens, 157 84 Athens, Greece
L. OLIVEIRA e SILVA
Affiliation:
GOLP/Centro de Electrodinâmica, Instituto Superior Tecnico, 1096 Lisboa Codex, Portugal
J. L. VOMVORIDIS
Affiliation:
Department of Electrical and Computer Engineering, National Technical University of Athens, 157 73 Athens, Greece

Abstract

We present a covariant theory of photon acceleration in time-varying plasmas. This is a ray-tracing model for frequency upshift of waves interacting with relativistic plasma perturbations, such as ionization fronts and plasma wakefields. This theory explores the formal analogy between a photon in a plasma and a relativistic particle with a finite rest mass. The covariant ray-tracing theory is applied to the case of photon acceleration by a modulated wakefield. Threshold criteria for transition to chaos are derived.

Type
Research Article
Copyright
1997 Cambridge University Press

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