On the passage of radiation through inhomogeneous moving media. IX - an initial value problem and an oscillatory 'steady-state' problem

Astronomy and Astrophysics – Astrophysics

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Boundary Value Problems, Current Sheets, Pulsar Magnetospheres, Pulsars, Radiative Transfer, Ray Tracing, Electromagnetic Fields, Poynting Theorem, Shear Properties, Steady State

Scientific paper

In this paper we demonstrate how the Poynting flux is distributed in both space and time in the cases where the source of the electromagnetic field is either an impulse current sheet or an oscillatory current sheet, both being embedded in a differentially shearing medium. We compare the results obtained with those obtained under a time averaging process such as that given in Paper VII of this series. The results are of interest in connection with the problem of transport of radiation through the magnetospheres of pulsars - a spatial regime of particular interest being the neighborhood of the speed-of-light circle where large differential shear must obtain.

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