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SA: Plasma Correction in the “Cosine Relation” for Pulsar Pulse Profile – Briozzo
April 18, 2022 @ 12:00 pm - 12:15 pm
We will study the trajectories of photons emitted by a pulsar with emphasis on the chromatic effects derived from the presence of a plasmatic environment. We will show how to obtain numerically the trajectories and the luminosity curve of the pulsar. Starting from the approximate Beloborodov formalism, we will introduce plasma corrections to extend the range of validity of the model, obtaining simple analytical expressions for the trajectories and the observed flux, significantly simplifying the calculation of the pulse profiles and drastically reducing their computational cost. We will compare the numerical results with the analytical approximations. Once the validity ranges of our model have been established, we will show how to use the obtained approximations to easily model more realistic, non-antipodal, homogeneous or circular emission shells. Finally, we will expand the classification introduced by Beloborodov for the case of two non-antipodal and distinguishable emission shells.