Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The usefulness of analytic response functions   Aims:We introduce analytical response functions and their main properties as
an important diagnostic tool that help understand Stokes profile formation
physics and the meaning of well-known behaviors of standard inversion codes of
the radiative transfer equation often used to measure solar magnetic fields.
Methods: A Milne-Eddington model atmosphere is used as an example where
response functions are analytical. A sample spectral line has been chosen to
show the main qualitative properties. Results: We show that analytic response
functions readily provide explanations for various well-known behaviors of
spectral lines, such as the sensitivity of visible lines to weak magnetic
fields or the trade-offs often detected in inversion codes between the
Milne-Eddington thermodynamic parameters. We also show that response functions
are helpful in selecting sample wavelengths optimized for specific parameter
diagnostics.

21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat