From 58ce7fcb3aae3b157d79a91c690ce35cd21c2e8f Mon Sep 17 00:00:00 2001 From: hrocho Date: Thu, 27 Jul 2017 11:39:44 +0200 Subject: [PATCH] ls docs and example --- docs/calculations.tex | 32 +++++++++++++++++++++++++++++++- docs/plots/ls.png | Bin 0 -> 20001 bytes docs/plots/lsX.png | Bin 0 -> 28829 bytes docs/plots/lsX_precision.png | Bin 0 -> 59621 bytes docs/plots/ls_precision.png | Bin 0 -> 60540 bytes examples/ls_coefficients.cpp | 27 +++++++++++++++++++++++++++ examples/makefile | 2 +- storage.h | 2 ++ 8 files changed, 61 insertions(+), 2 deletions(-) create mode 100644 docs/plots/ls.png create mode 100644 docs/plots/lsX.png create mode 100644 docs/plots/lsX_precision.png create mode 100644 docs/plots/ls_precision.png create mode 100644 examples/ls_coefficients.cpp diff --git a/docs/calculations.tex b/docs/calculations.tex index e46c492..4880bf0 100644 --- a/docs/calculations.tex +++ b/docs/calculations.tex @@ -29,11 +29,41 @@ The range spline precision is checked via calculating dE/dx from inverse derivat \end{figure} +\section{Lindhard-Soerensen} +The Lindhard-Soerensen (LS) corrections to energy loss and energy loss straggling can be calculated directly or from precalculated values, which is useful when performance is needed. The precalculated LS coefficients are calculated at predefined log distributed energies. Below and above the energy limits the functions returns the value at minimal or maximal precalculated value. The take into account the different masses the Ls coefficients are precalculated for 2 different masses and final coefficients are estimated using a linear interpolation between the two calculations. + + +The calculated LS coefficients are plotted in Fig. \ref{ls}. +For the comparison and check of precalculated LS coefficients the LS coefficients and relative difference to directly calculated coefficients for different masses and charges are plotted in Figures \ref{ls_prec} amd \ref{lsX_prec}. + +\begin{figure} +\centering +\includegraphics[width=6.5cm]{plots/ls.png} +\includegraphics[width=6.5cm]{plots/lsX.png} +\caption{LS corrections for energy loss and energy loss straggling for different energies and projectile} +\label{ls} +\end{figure} + +\begin{figure} +\centering +\includegraphics[width=12cm]{plots/ls_precision.png} +\caption{LS corrections for energy loss directly calculated and calculated from the tabulated values for different Z and A. On the right the relative differences are plotted. The lowest energy for precalculation was set to 1 MeV/u.} +\label{ls_prec} +\end{figure} + +\begin{figure} +\centering +\includegraphics[width=12cm]{plots/lsX_precision.png} +\caption{LS corrections for energy loss directly calculated and calculated from the tabulated values for different Z and A. On the right the relative differences are plotted. The lowest energy for precalculation was set to 1 MeV/u.} +\label{lsX_prec} +\end{figure} + + + \section{Benchmarks} \subsection{Thin Target Approximation} test: projectile: 238U@700MeV/u - 30GeV/u, material: C(1mg/cm2), 30000 calculation in loop. - reults: with thin target pproximation: 2.4s, without: 2.4s \end{document} \ No newline at end of file diff --git a/docs/plots/ls.png b/docs/plots/ls.png new file mode 100644 index 0000000000000000000000000000000000000000..de50d6d27bb17c49f4d105dfce27254dffb08a3c GIT binary patch literal 20001 zcmeIabx>CA+bFs~QIrxDX`~btC8bkALKKzm5b2bbd|pvNLJ*Y>=`N+DOOOs}1O%iT zr0ZPk@%`=n?fuP}J?Eb@b7l@Rg3ns(x$o<~I@g=W^3p_Ssm>w@LL@6Asem9S^biDB z9RC!8APcg1SK-e|ySuVV`0(R~|I8OYpRtiqw?hzu^XNaE?h%gz1ffS{CGRLXM=y@J zI)B)V*f+2bXjmNl;?S?{q;7i)5#OT+(g-*C<*BHtr5U^x zkn$m>o&Tf3YccT2u3bQSaBy&bxH$LfgYZuzqC50tEqDk&fZZ3~#rbgTP>AaZw_)52qgV1ugD0}lo{t#lIy;8c6 z^CL{xBfW*K>_LUgX14^1NK!_|4ejUO$f!8}kR`(q2R`okR_1X;d|g1mLKzml1eabGU<=97+Ck&hogCcnAB 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p(238,92); // define projectile, ie 12C + + cout<<"projectile 238U\n"; + + auto energies = catima::EnergyTable<50>(2,5); // get energy table, energies log distributed between 10^2 and 10000^5; + for(double T:energies){ + auto ls = catima::bethek_lindhard(p(T)); + auto lsX = catima::bethek_lindhard_X(p(T)); + cout<<"T "<