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mlz
BornAgain
Commits
d531f4c9
Commit
d531f4c9
authored
1 year ago
by
Wuttke, Joachim
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rm figure using setup_multilayer.jpg
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!1655
rename -> Developer Reference
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Doc/PhysicsManual/Multilayers.tex
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Doc/PhysicsManual/PhysicsManual.pdf
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Doc/PhysicsManual/Multilayers.tex
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@@ -35,45 +35,6 @@ and describe how the vertical wavefunction is computed in BornAgain.
\section
{
DWBA for layered samples
}
\label
{
Swave21
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--------------------------------------------------------------------------------
\begin{figure}
[tb]
\centering
\includegraphics
[clip=, width=120mm]
{
fig/drawing/setup
_
multilayer.jpg
}
\caption
[Conventional GISAS scattering geometry.]
{
Geometric conventions
\index
{
Convention!GISAS geometry
}
%
\index
{
Grazing-incidence small-angle scattering!geometric conventions
}
%
\index
{
Coordinate system!GISAS geometry
}
%
\index
{
Glancing angle
}
%
\index
{
Scattering!angle
}
%
\index
{
Geometry!conventions for GISAS
}
in GISAS scattering comprise a Cartesian coordinate system
and a set of angles.
The coordinate system has a
$
z
$
axis normal to the sample plane,
and pointing into the halfspace where the beam comes from.
The
$
x
$
axis usually points along the incident beam,
projected onto the sample plane.
Incident and final plane waves are characterized
by wavevectors
$
\k
_
\si
$
,
$
\k
_
\sf
$
;
the angle
$
\alpha
_
\si
$
is the incident glancing angle;
$
\phi
_
\si
$
is usually zero, unless used to describe a sample rotation;
$
\alpha
_
\sf
$
is the exit angle with respect to the sample's surface;
and
$
\phi
_
\sf
$
is the scattering angle with respect to the scattering plane.
In the above figure
$
\phi
_
\sf
$
is negative by convention, while all other angles
are positive.
\nomenclature
[1α024 2i000]
{$
\alpha
_
\si
$}{
Glancing angle of the incident beam
}
\nomenclature
[1α024 2f000]
{$
\alpha
_
\sf
$}{
Glancing angle of the detected beam
}
\nomenclature
[1φ024 2i000]
{$
\phi
_
\si
$}{
Angle between the incident beam, projected into the sample plane, and the
$
x
$
axis
}
%
\nomenclature
[1φ024 2f000]
{$
\phi
_
\sf
$}{
Angle between the detected beam, projected into the sample plane, and the
$
x
$
axis
}
%
\nomenclature
[2x020]
{$
x
$}{
Horizontal coordinate, usually chosen along the incoming beam projection
}
%
\nomenclature
[2y020]
{$
y
$}{
Horizontal oordinate, chosen normal to
$
z
$
and
$
x
$}
%
The numbered layers illustrate a multilayer system as dicussed in
\cref
{
sec:Multilayers
}
.
\index
{
Layer!numbering
}
%
\index
{
Multilayer
}
}
\label
{
fig:expgeom
}
\end{figure}
%--------------------------------------------------------------------------------
Reflectometry and grazing-incidence scattering
are designed for the investigation of surfaces, interfaces, and thin layers,
or most generically:
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