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On the collective curvature radiation

Authors

  • Ya. N. Istomin,

    1. P. N. Lebedev Physical Institute, Leninsky prosp., 53, Moscow, 119 991, Russia
    2. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141 700, Russia
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  • A. A. Philippov,

    Corresponding author
    1. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141 700, Russia
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  • V. S. Beskin

    1. P. N. Lebedev Physical Institute, Leninsky prosp., 53, Moscow, 119 991, Russia
    2. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141 700, Russia
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E-mail: philippov_2003@mail.ru

ABSTRACT

In this paper, we study one possible mechanism of pulsar radio emission (i.e. with the collective curvature radiation of the relativistic particle stream moving along the curved magnetospheric magnetic field lines). We show that an electromagnetic wave that contains one cylindrical harmonic exp {isφ} cannot be radiated by the curvature radiation mechanism, which corresponds to the radiation of a charged particle moving along curved magnetic field lines. The point is that a particle in a vacuum radiates the triplex of harmonics (s, s± 1) in which the polarization of the emitted wave changes from one point to another on a circle of constant radius, while for one s-harmonic the polarization remains constant. So, for the collective curvature radiation, the wave polarization is very important and cannot be fixed a priori. For this reason, the polarization of real unstable waves must be determined directly from the solution of wave equations for the media. Its electromagnetic properties should be described by the dielectric permittivity tensor inline image, which contains information on the reaction on all possible types of radiation.

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