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39 lines
1.6 KiB
TeX
39 lines
1.6 KiB
TeX
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\documentclass[12pt,a4paper]{article}
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\usepackage{amsmath}
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\usepackage{amsfonts}
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\usepackage{amssymb}
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\usepackage{graphicx}
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\begin{document}
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\section{splines caclulations}
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Splines data points are calculated at fixed energies. The energy points are uniformly distributed in logarithmic range.
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The number of points and logarithmic limits are defined in \textit{constants.h}.
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The number of points is \textit{max\_datapoints}, log limits are \textit{logEmin} and \textit{logEmax}.
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The energy points are stored in \textit{EnergyTable} class and precalculated values are stored in \textit{energy\_table} variable.
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the double array can be accessed as energy\_table.values.
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The integration is done using GSL numerical integration library.
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\subsection{range spline precision}
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The range spline precision is checked via calculating dE/dx from inverse derivative of range spline and compared to directly calculated dE/dx.
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\begin{figure}[h]
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\centering
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\includegraphics[width=6.5cm]{plots/dedx_difs_n500.png}
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\includegraphics[width=6.5cm]{plots/dedx_difs_n400.png}
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\includegraphics[width=6.5cm]{plots/dedx_difs_n300.png}
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\includegraphics[width=6.5cm]{plots/dedx_difs_n200.png}
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\caption{Relative difference of dE/dx calculated directly and from range spline, number of range spline datapoints = 500(top left), 400(top right), 300(bottom left), 200(bottom right)}
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\end{figure}
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\section{Benchmarks}
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\subsection{Thin Target Approximation}
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test: projectile: 238U@700MeV/u - 30GeV/u, material: C(1mg/cm2), 30000 calculation in loop.
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reults: with thin target pproximation: 2.4s, without: 2.4s
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\end{document}
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