Stokes Inversion in the Presence of Canopy-Like Structures and Unresolved Flux-Tubes

Astronomy and Astrophysics – Astronomy

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Scientific paper

The issue of the Stokes polarization signature of canopy-like structures and the inversion of the resulting Stokes profiles is considered for a self-consistent flux tube (sheet) model. It is found that when the `canopy' and its attendant current sheet have an optical thickness at line center tau_0 <= 5, the intensity and net polarization profiles become decoupled. An effective inversion strategy is to reduce or eliminate the role of the intensity parameter. The Milne-Eddington (ME) analytic inversion in current use is easily adapted for this purpose. It is found that the use of a magnetic fill factor allows for an approximate compensation for the presence of a field discontinuity along the line of sight but a more accurate procedure is to restrict the inversion to the net polarization profiles. In the case of sufficiently thin canopies the ME inversion, when reduced to the Sears form, yields fields within ~ 100 G of the true field. When the Stokes profiles are averaged over the flux sheet to simulate the effects of limited angular resolution, the fill factor strategy yields an accurate measure of both the axial field and the width of the flux sheet at tau_0 =~ 1 for observing angles <= 35(deg) to the normal. For larger angles, opacity shielding occurs and reduced fields are derived.

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