Commit 1e154a0e authored by Håkan Wennlöf's avatar Håkan Wennlöf
Browse files

Merge branch 'b-1074' into 'v3.0-stable'

[v3.0-stable] improving Simulation Geometry section of user manual

See merge request allpix-squared/allpix-squared!1087
parents cef7c6fd 2b4f08c1
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@@ -11,6 +11,7 @@ Allpix Squared is developed and maintained by

The following authors, in alphabetical order, have developed or contributed to Allpix Squared:

* Babar Ali, Czech Technical University in Prague, [bali](https://gitlab.cern.ch/bali)
* Mohamed Moanis Ali, GSOC2019 Student, [mmoanis](https://github.com/mmoanis)
* Mathieu Benoit, BNL, [mbenoit](https://gitlab.cern.ch/mbenoit)
* Thomas Billoud, Université de Montréal, [tbilloud](https://gitlab.cern.ch/tbilloud)
@@ -33,6 +34,7 @@ The following authors, in alphabetical order, have developed or contributed to A
* Moritz Kiehn, Université de Genève, [msmk](https://gitlab.cern.ch/msmk)
* Rafaella Eleni Kotitsa, CERN, [rkotitsa](https://gitlab.cern.ch/rkotitsa)
* Stephan Lachnit, DESY, [slachnit](https://gitlab.cern.ch/slachnit)
* Hugo Natal da Luz, Czech Technical University in Prague, [ferrepe2](https://git.utef.cvut.cz/ferrepe2)
* Salman Maqbool, CERN Summer Student, [smaqbool](https://gitlab.cern.ch/smaqbool)
* Stefano Mersi, CERN, [mersi](https://gitlab.cern.ch/mersi)
* Ryuji Moriya, CERN Summer Student, University of Glasgow, [rmoriya](https://gitlab.cern.ch/rmoriya)
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@@ -73,15 +73,17 @@ the geometric center of their sensor.

Local coordinate systems for the detectors are also right-handed Cartesian systems, with the x- and y-axes defining the
sensor plane. The origin of this coordinate system is the center of the lower left pixel in the grid, i.e. the pixel with
indices (0,0). This simplifies calculations in the local coordinate system as all positions can either be stated in absolute
indices (0,0), whereas the z-axis pointing towards the readout connected to the sensor.
This simplifies calculations in the local coordinate system as all positions can either be stated in absolute
numbers or in fractions of the pixel pitch.

A sketch of the actual coordinate transformations performed, including the order of transformations, is given below. The
global coordinate system used for tracking of particles through detetector setup is shown on the left side, while the local
coordinate system used to describe the individual sensors is located at the right.
global coordinate system used for tracking of particles through the detector setup is shown on the left side, while the local
coordinate system used to describe the individual sensors is located at the right. Both local and global coordinate systems are aligned by default.
Therefore, without any rotation, the sensor backplane (opposite to the plane where the readout is performed) is turned to the negative side of the z-axis.

![](./transformations.png)\
*Coordinate transformations from global to local and revers. The first row shows the detector positions in the respective
*Coordinate transformations from global to local and reverse. The first row shows the detector positions in the respective
coordinate systems in top view, the second row in side view.*

The global reference for time measurements is the beginning of the event, i.e. the start of the particle tracking through the