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<mods:namePart>Stelzer, Beate (Prof. Dr.)</mods:namePart>
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<mods:namePart>Joseph, Wilhelmina Maryann</mods:namePart>
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<mods:abstract>Understanding stellar coronae requires connecting the integrated X-ray emis-&#xd;
sion I observe from unresolved stars to the physical magnetic structures pro-&#xd;
ducing that emission. The Sun uniquely enables this connection: I can ob-&#xd;
serve both its spatially resolved coronal structures and its integrated X-ray spec-&#xd;
trum as it would appear from a stellar distance. This dissertation develops a&#xd;
new implementation of the "Sun as an X-ray Star" (SaXS) methodology that di-&#xd;
rectly retrieves the surface coverage (filling factors) of different coronal region&#xd;
types—background corona, active regions, cores, and flares—from X-ray spec-&#xd;
tral fitting.&#xd;
I construct spectral models for XSPEC from emission measure distributions&#xd;
derived from Yohkoh observations of solar coronal regions. Each region type&#xd;
becomes a multi-temperature model with fixed temperature structure and free&#xd;
normalization corresponding to its projected surface area. This direct fitting ap-&#xd;
proach eliminates the computational overhead of synthetic spectral grids while&#xd;
providing transparent physical interpretation: fitted normalizations immedi-&#xd;
ately yield filling factors without intermediate parameter-space matching.&#xd;
I validate the method on the Sun itself using full-disk soft X-ray spectra from&#xd;
the DAXSS (Dual Aperture X-ray Solar Spectrometer) CubeSat instrument at&#xd;
two activity levels. Comparing spectral-fit-derived filling factors with the actual&#xd;
spatial distribution visible in contemporaneous Hinode/XRT images demon-&#xd;
strates that the method successfully recovers known coronal structure. The qui-&#xd;
escent Sun shows ∼21% active region coverage (with refined fits using variable abundances), while flaring periods show ∼15% active region coverage,&#xd;
∼3% core coverage, and ∼0.07% flare coverage (with refined fits using variable&#xd;
abundances and non-equilibrium ionization for flares). Spectral filling factors&#xd;
systematically exceed image-based measurements because spectra naturally in-&#xd;
clude limb emission extending to coronal scale heights, providing a more com-&#xd;
plete picture of total coronal output as seen from stellar distances.&#xd;
Application to AD Leo, a nearby active M3.5V dwarf, reveals both capa-&#xd;
bilities and limitations of solar-derived templates. During quiescent periods,&#xd;
the corona appears dominated by hot cores with significant background but&#xd;
minimal active region contribution, suggesting either fundamentally different&#xd;
magnetic structures or templates that incompletely capture stellar active re-&#xd;
gions. The star exhibits continuous low-level flaring even in nominally qui-&#xd;
escent phases. The spectacular November 2021 "November 2021 Great Flare"&#xd;
(GOES X1445 equivalent) produces systematic high-energy residuals: even our&#xd;
hottest solar flare template (X9.0, ∼30 MK) cannot reproduce emission above&#xd;
2–3 keV. Adding thermal components reaching several tens of MK eliminates&#xd;
residuals, demonstrating that AD Leo’s superflares produce plasma significantly&#xd;
hotter than any solar analog.&#xd;
This analysis reveals a fundamental degeneracy in X-ray spectral analysis:&#xd;
for fixed emission measure, electron density and filling factor trade off (EM ∝&#xd;
n2&#xd;
e f ). Initial density estimates from literature extrapolation yielded unphysi-&#xd;
cally small filling factors, requiring iterative density refinement constrained by&#xd;
the requirement that regions occupy at least one coronal loop’s projected area.&#xd;
Breaking this degeneracy definitively requires independent density measure-&#xd;
ments from high-resolution spectroscopy, underscoring the importance of com-&#xd;
plementary observations for future applications.&#xd;
The dissertation establishes that solar-derived spectral models can charac-&#xd;
terize stellar coronae in terms of physical magnetic structures, validates the&#xd;
filling factor retrieval methodology through direct comparison with spatially&#xd;
resolved solar observations, and identifies critical limitations—particularly the&#xd;
need for expanded emission measure libraries extending to super-solar temper-&#xd;
atures and independent density constraints—that must be addressed for robust&#xd;
application to active stellar populations.</mods:abstract>
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<mods:title>The Sun as an X-ray Star: Spectral Models of Solar Coronal Regions and Their Application to Stellar Coronae</mods:title>
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<mods:genre>PhDThesis</mods:genre>
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