Image Details
Caption: Figure 10.
Spectra V: upscattering spectra for meridional field loops (﹩{\phi }^{* }=0﹩) depicting nine choices of the maximum loop altitude parameter ﹩{r}_{\max }=\{{2}^{0.5},\,\ldots ,\,{2}^{4.5}\}﹩. The two panels are for two different Lorentz factors, and spectra are realized for a viewing angle of ﹩{\theta }_{v}=30^\circ ﹩. Clear variation in the cutoff energies and normalization are evident, as well as a transition from weakly resonant to fully resonant from low to moderate and higher altitudes. Other parameters are similar to those in the previous four spectral figures: ﹩{B}_{p}=10﹩ and ﹩T=5\times \ {10}^{6}﹩ K. The superposition of these curves gives an indication of spectra that might result from toroidal volumes; see text. As with Figures 5–9, observational data points for AXP 4U 0142+61 are overlaid, along with a schematic ﹩{\varepsilon }_{f}^{-1/2}﹩ power law with a ﹩250﹩ keV exponential cutoff (gray dashed curve). In addition, the Planck spectrum matching the soft X-ray data for this magnetar is indicated by the brown dashed curve in each panel.
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