Loading Makefile.version +1 −1 Original line number Diff line number Diff line Loading @@ -7,7 +7,7 @@ export PROJARCH=$(PROJECT)-$(VERSION_MAJOR).$(VERSION_MINOR) export VERSION_MAJOR=1 export VERSION_MINOR=0 export VERSION_RELEASE=1 export VERSION_RELEASE=5 git_rev=$(shell git rev-parse --short HEAD 2> /dev/null) ifeq "$(git_rev)" "" Loading doc/coordinate_systems.tex +13 −13 Original line number Diff line number Diff line Loading @@ -12,51 +12,51 @@ with the center (0,0,0) at the sample position, see Fig.~\ref{fig:ella_top_view} the NSE Laboratory Frame. The frame center is at the sample position. Two NSE carriers are shown in blue. L1 - is the source to sample distance and L2 is the distance from the sample to the detector. The polar angle $\phi$ is measured with respect to the x-axis and the center of the of the detector is denoted by $\phi_0$} The polar angle $\varphi$ is measured with respect to the x-axis and the center of the of the detector is denoted by $\varphi_0$ (scattering angle).} \label{fig:ella_top_view} \end{figure} The x-axis is horizontal and points downstream from the source toward sample. The z-axis is vertical pointing up, and the y-axis is horizontal completing the right handed coordinate system. The polar angle $\phi$ is measured with respect to the x-axis (polar The polar angle $\varphi$ is measured with respect to the x-axis (polar axis) and the azimuthal angle $\theta$ is measured in the y-z plane with 0 coinciding with the y-axis and clockwise direction when looking with $0^{\circ}$ coinciding with the y-axis and clockwise direction when looking downstream with the neutron flux direction. \subsection{The Detector Coordinate System} The NSE detector can rotate in horizontal plane (x-y) around the sample position from $\phi_0=[0,\phi_0^{max}]$, where $\phi_0^{max}$ is instrument specific. sample position from $\varphi_0=[0,\varphi_0^{max}]$, where $\varphi_0^{max}$ is instrument specific. \begin{figure}[h!] \centering \includegraphics[height=7cm]{detector_view} \caption[The detector view of the NSE Laboratory Frame]{The detector view of the NSE Laboratory Frame. The spectrometer detector is at the straight configuration, i.e. $\phi_0 = 0$. Neutron flux is pointing out of the page. Each detector pixel is labeled by a pair of indices $(i,j)$. $\varphi_0 = 0$. Neutron flux is pointing out of the page. Each detector pixel is labeled by a pair of indices $(i,j)$. The horizontal index $i$ is parallel to y-axis and the vertical index $j$ is anti-parallel to the z-axis.} \label{fig:ella_detector_view} \end{figure} The NSE detector pixels are labeled by a pair of integer indices $(i,j)$ that run from $(1,1)$ to $(NI, NJ)$, where in a typical configuration $NI=NJ=32$. that run from $(1,1)$ to $(N_i, N_j)$, where in a typical configuration $N_i=N_j=32$. The horizontal index $i$ is running parallel to the y-axis and the vertical one $j$ is running anti-parallel to the z-axis. The coordinates of the center of a (i,j) pixel when the detector is at $\phi_0=0$ are given by the center of a (i,j) pixel when the detector is at $\varphi_0=0$ are given by \begin{subequations} \label{eq:pixel_coordinates} \begin{eqnarray} x_C & = & L2 \\ y_C & = & +(i-(NI+1)/2)\times W \\ z_C & = & -(j-(NJ+1)/2) \times H y_C & = & +(i-(N_i+1)/2)\times W \\ z_C & = & -(j-(N_j+1)/2) \times H \end{eqnarray} \end{subequations} where W and H are pixel width and height. And when the detector is rotated by the angle $\phi_0$ around the sample, the coordinates of the pixel (i,j) are now given And when the detector is rotated by the angle $\varphi_0$ around the sample, the coordinates of the pixel (i,j) are now given \begin{subequations} \label{eq:pixel_coordinates_rotated} \begin{eqnarray} x_R & = & x_C\cos\phi_0 - y_C\sin\phi_0 \\ y_R & = & x_C\sin\phi_0 + y_C\cos\phi_0 \\ x_R & = & x_C\cos\varphi_0 - y_C\sin\varphi_0 \\ y_R & = & x_C\sin\varphi_0 + y_C\cos\varphi_0 \\ z_R & = & z_C \end{eqnarray} \end{subequations} Loading doc/design.tex +2 −0 Original line number Diff line number Diff line Loading @@ -84,6 +84,8 @@ Throughout the document the following priorities are assumed: \include{whatabout4pointecho_ins} \include{reduction_parameters} \end{appendices} Loading doc/detector_view.png +245 B (8.5 KiB) Loading image diff... doc/detector_view.svg +57 −50 Original line number Diff line number Diff line Loading @@ -14,7 +14,7 @@ viewBox="0 0 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Makefile.version +1 −1 Original line number Diff line number Diff line Loading @@ -7,7 +7,7 @@ export PROJARCH=$(PROJECT)-$(VERSION_MAJOR).$(VERSION_MINOR) export VERSION_MAJOR=1 export VERSION_MINOR=0 export VERSION_RELEASE=1 export VERSION_RELEASE=5 git_rev=$(shell git rev-parse --short HEAD 2> /dev/null) ifeq "$(git_rev)" "" Loading
doc/coordinate_systems.tex +13 −13 Original line number Diff line number Diff line Loading @@ -12,51 +12,51 @@ with the center (0,0,0) at the sample position, see Fig.~\ref{fig:ella_top_view} the NSE Laboratory Frame. The frame center is at the sample position. Two NSE carriers are shown in blue. L1 - is the source to sample distance and L2 is the distance from the sample to the detector. The polar angle $\phi$ is measured with respect to the x-axis and the center of the of the detector is denoted by $\phi_0$} The polar angle $\varphi$ is measured with respect to the x-axis and the center of the of the detector is denoted by $\varphi_0$ (scattering angle).} \label{fig:ella_top_view} \end{figure} The x-axis is horizontal and points downstream from the source toward sample. The z-axis is vertical pointing up, and the y-axis is horizontal completing the right handed coordinate system. The polar angle $\phi$ is measured with respect to the x-axis (polar The polar angle $\varphi$ is measured with respect to the x-axis (polar axis) and the azimuthal angle $\theta$ is measured in the y-z plane with 0 coinciding with the y-axis and clockwise direction when looking with $0^{\circ}$ coinciding with the y-axis and clockwise direction when looking downstream with the neutron flux direction. \subsection{The Detector Coordinate System} The NSE detector can rotate in horizontal plane (x-y) around the sample position from $\phi_0=[0,\phi_0^{max}]$, where $\phi_0^{max}$ is instrument specific. sample position from $\varphi_0=[0,\varphi_0^{max}]$, where $\varphi_0^{max}$ is instrument specific. \begin{figure}[h!] \centering \includegraphics[height=7cm]{detector_view} \caption[The detector view of the NSE Laboratory Frame]{The detector view of the NSE Laboratory Frame. The spectrometer detector is at the straight configuration, i.e. $\phi_0 = 0$. Neutron flux is pointing out of the page. Each detector pixel is labeled by a pair of indices $(i,j)$. $\varphi_0 = 0$. Neutron flux is pointing out of the page. Each detector pixel is labeled by a pair of indices $(i,j)$. The horizontal index $i$ is parallel to y-axis and the vertical index $j$ is anti-parallel to the z-axis.} \label{fig:ella_detector_view} \end{figure} The NSE detector pixels are labeled by a pair of integer indices $(i,j)$ that run from $(1,1)$ to $(NI, NJ)$, where in a typical configuration $NI=NJ=32$. that run from $(1,1)$ to $(N_i, N_j)$, where in a typical configuration $N_i=N_j=32$. The horizontal index $i$ is running parallel to the y-axis and the vertical one $j$ is running anti-parallel to the z-axis. The coordinates of the center of a (i,j) pixel when the detector is at $\phi_0=0$ are given by the center of a (i,j) pixel when the detector is at $\varphi_0=0$ are given by \begin{subequations} \label{eq:pixel_coordinates} \begin{eqnarray} x_C & = & L2 \\ y_C & = & +(i-(NI+1)/2)\times W \\ z_C & = & -(j-(NJ+1)/2) \times H y_C & = & +(i-(N_i+1)/2)\times W \\ z_C & = & -(j-(N_j+1)/2) \times H \end{eqnarray} \end{subequations} where W and H are pixel width and height. And when the detector is rotated by the angle $\phi_0$ around the sample, the coordinates of the pixel (i,j) are now given And when the detector is rotated by the angle $\varphi_0$ around the sample, the coordinates of the pixel (i,j) are now given \begin{subequations} \label{eq:pixel_coordinates_rotated} \begin{eqnarray} x_R & = & x_C\cos\phi_0 - y_C\sin\phi_0 \\ y_R & = & x_C\sin\phi_0 + y_C\cos\phi_0 \\ x_R & = & x_C\cos\varphi_0 - y_C\sin\varphi_0 \\ y_R & = & x_C\sin\varphi_0 + y_C\cos\varphi_0 \\ z_R & = & z_C \end{eqnarray} \end{subequations} Loading
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