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The electrons
pass through all part of the loop will be timely-correlated with the HXR
assumed to be injection function. Qualitatively that’s it. However, for
quantitative comparison the is one complication. Now we assumed inhomogeity and so radiation at different field
strength varies and for flux we need the cross section variation along the
loop, with B in other words.
Therefore needed to consider magnetic field variation (three different
cases) . Qualitatively The up-left panel-depening on where they are the
radiation efficiency differs although same electrons. The bottom right, and
also in some part it is optically thick and in some part optically thin. Thus
a full expression is used. The right column show final model fit to the
observation: different curves -> different magnetic field tube models how
the tube cross section varies with B.
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