The radiation of energy by a current in a plasma

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Energy Transfer, Far Fields, Plasma Currents, Plasma Radiation, Poynting Theorem, Radiative Transfer, Anisotropic Media, Fourier Transformation, Green'S Functions, Group Velocity, Traveling Waves

Scientific paper

The derivation of the differential power emitted in any given direction by a current J in a linear, homogeneous and non-absorbing plasma is reviewed in detail. The conventional derivation is shown to give the power emitted; a formalism for the power received is established by evaluating the Poynting vector in terms of the far field. It is pointed out that the two power expressions differ because the same energy dE is emitted in a time dte, but received over a different time dtr. Moreover, a careful scrutiny of both the formalism for the power emission and for the power reception exposes implicit assumptions which do not hold if the plasma is anisotropic. The necessary steps for establishing a valid formalism for anisotropic media are briefly sketched.

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