Abstract
The Generalized Kirchhoff’s Law (GKL), which relates the emission from each propagating branch to the absorption along the corresponding branch, enables us for the first time to include the effects of inhomogeneous magnetic fields correctly on cyclotron and synchrotron radiation. Via the use of a variational principle, we have calculated both the proper source function for the inhomogeneous emitting layer and corrections to the classical radiation law. Results indicate that the concept of optical depth must be revised to include effects of reflection and conversion, if any, in addition to transmission.
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