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mlz
BornAgain
Commits
505d38e6
Commit
505d38e6
authored
9 years ago
by
Van Herck, Walter
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Provided appropriate way of dealing with k_\perp becoming zero in BornAgain (documentation)
parent
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Doc/UserManual/Multilayers.tex
+11
-8
11 additions, 8 deletions
Doc/UserManual/Multilayers.tex
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505d38e6
...
@@ -427,14 +427,17 @@ The general solution of (\ref{Ewavez}) will be a linear function of $z$:
...
@@ -427,14 +427,17 @@ The general solution of (\ref{Ewavez}) will be a linear function of $z$:
\begin{equation}
\begin{equation}
\phi
_{
\il
}
(z) = A
^
0
_{
\il
}
+ A
^
1
_{
\il
}
z.
\phi
_{
\il
}
(z) = A
^
0
_{
\il
}
+ A
^
1
_{
\il
}
z.
\end{equation}
\end{equation}
In
\BornAgain
,
In
\BornAgain
, such a linear wavefunction amplitude can not be handled by the form factors,
such total reflection is imposed if
$
|f
_{
\il
}
|
$
falls below a very small value
which are only defined in terms of plain waves with complex wavevector components.
(currently
$
10
^{
-
20
}$
).
The following cases are treated seperately:
However, except for the top vacuum layer
\begin{itemize}
this ought to be inconsequential
\item
The top layer has
$
f
_
0
=
0
$
: regardless of whether or not the top layer is the only layer present,
because the index of refraction should always
the solution will consist of a simple constant wavefunction amplitude (
$
\phi
_
0
(
z
)
=
A
^
0
_
0
$
).
have an absorptive component that prevents
$
f
_{
\il
}$
from becoming zero.
Since this does not cause any problem with form factor calculations, nothing needs to be done.
\item
$
f
_{
\il
}
=
0
$
for a layer with
$
\il
>
0
$
: In this case
$
f
_{
\il
}$
will be given a very small imaginary value,
representing a slight absorption. However, this should be inconsequential because the index of refraction
of non-vacuum layer always contains an absorptive component.
\end{itemize}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \newpage % TEMPORARY
% \newpage % TEMPORARY
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