Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalization of Kirchhoff reflectivity to go beyond modelling and
  inversion of first-order reflection data -- A review of the theory   We remind and emphasize the connections and differences between Kirchhoff and
Born modelling. We discuss how they lead to a general expression for the
conversion of a velocity model perturbation into a reflectivity through the
"generalized reflectivity" concept. We seize the opportunity to clarify some
aspects related to possibly non-smooth propagating media and the linearity
approximation on reflectors. The generalized reflectivity offers opportunities:
on FWI approaches that include a reflectivity or least squares migration
approaches that can be based on Kirchhoff or Born modelling; in the framework
of traditional Kirchhoff modelling scheme, to model first-order effects that go
beyond first-order reflections (like first-order diffractions); in the
framework of traditional Kirchhoff inversion or true amplitude migration, i.e.
for the interpretation of seismic-migrated images.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph