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# Sphinx build info version 1 | ||
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. | ||
config: b9d481773819ad7fd5af4e3e4057f9b0 | ||
tags: 645f666f9bcd5a90fca523b33c5a78b7 |
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.. TP-M2-GI_doc documentation master file, created by | ||
sphinx-quickstart on Mon Apr 11 11:21:56 2022. | ||
You can adapt this file completely to your liking, but it should at least | ||
contain the root `toctree` directive. | ||
A tutorial on Particle in Cell simulation of Laser Wakefield Acceleration | ||
------------------------------------------------------------------------------------ | ||
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.. toctree:: | ||
:maxdepth: 2 | ||
:caption: Contributors: F. Massimo, S. Marini | ||
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introduction | ||
exercises | ||
useful_tools | ||
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.. Indices and tables | ||
.. ================== | ||
.. * :ref:`genindex` | ||
.. * :ref:`modindex` | ||
.. * :ref:`search` |
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Introduction | ||
------------------- | ||
------------------- | ||
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In this practical work, you will familiarize yourself with a Particle in Cell (PIC) code ([BirdsallLangdon]_, [Lapenta]_), | ||
learn how to set up and run a basic PIC simulation to study laser plasma acceleration of electrons, and how to analyze the results. | ||
The PIC code you will use, `Smilei <https://smileipic.github.io/Smilei/index.html>`_ ([Derouillat2018]_), is not a simplified version | ||
but a full PIC code that you can use for your future studies. | ||
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Summary of this practical | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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In the case study of this practical work, an intense laser pulse is injected into the plasma, | ||
exciting a relativistic plasma wave, used to accelerate an externally injected relativistic electron bunch. | ||
This plasma acceleration scheme is known as laser wakefield acceleration, or LWFA ([Esarey2009]_, [Malka2012]_). | ||
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- :ref:`Exploring the Input Namelist; <exploringthenamelist>` (**Exercises 1-2**): we will explore the Python ``InputNamelist.py`` file to understand the basic set-up of the problem (simulation window size, resolution, ...). In this part the simulation window is empty. | ||
- :ref:`Laser pulse in vacuum; <laserpulseinvacuum>` (**Exercises 4-6**): we will add a laser laser pulse propagating in vacuum and check that its diffraction follows the one predicted for a Gaussian beam. | ||
- :ref:`Laser wakefield excitation; <plasmawave>` (**Exercises 7-11**): we will add a pre-ionized plasma and visualize how the laser pulse excites plasma waves in its wake, also checking the results against the analytical theory in the linear regime. | ||
- :ref:`Laser wakefield acceleration of an electron bunch. <laserplasmainjection>` (**Exercises 12-20**): we will add a relativistic electron bunch, injecting it into the plasma waves and studying its acceleration. | ||
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We will arrive progressively to the full simulation set-up, | ||
familiarizing with the postprocessing using the Python postprocessing library | ||
`happi <https://smileipic.github.io/Smilei/Use/post-processing.html>`_ and adding step by step all | ||
the necessary blocks to the input namelist file called `InputNamelist.py <https://github.com/SmileiPIC/TP-M2-GI/blob/main/InputNamelist.py>`_ . | ||
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To add the physical elements or required additional outputs, you just need to | ||
decomment (i.e. remove the symbol ``#`` in front of the) lines with the relative variables and blocks, | ||
as will be described in the exercises. | ||
For example, to activate a block that introduces a laser in the simulation, | ||
you only need to remove the symbol ``#`` in front the ``LaserEnvelopeGaussianAM`` block | ||
and the lines defining the variables used by that block. | ||
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Prerequisites | ||
^^^^^^^^^^^^^^^^^ | ||
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Although the `InputNamelist.py <https://github.com/SmileiPIC/TP-M2-GI/blob/main/InputNamelist.py>`_ is written in Python, | ||
no extensive knowledge of that language is required to understand its contents. | ||
Knowing how to define variables (and, optionally, how to define numpy arrays) should be sufficient. | ||
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This practical work assumes that the reader knows how to navigate in a directory tree, create folders, | ||
and copy files from the command line (for a quick recap, see Sections 4, 5, 7, 8, 9, 13, 14, and 17 | ||
in [ShawCommandLineCrashCourse]_). | ||
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Some clarifications | ||
^^^^^^^^^^^^^^^^^^^^^^^^ | ||
**Warning** Although external injection of an electron bunch in a plasma wave | ||
is not common or easy to realize experimentally, it was chosen due its conceptual simplicity, | ||
which allows to easily study some basic concepts underlying laser-plasma acceleration. | ||
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**Warning:** Many parameters of the simulation were chosen as a compromise between having a quick simulation | ||
and being able to describe the physical phenomena of laser plasma acceleration of electron. | ||
More physically accurate simulations of this phenomenon would require larger mesh sizes, a different resolution, | ||
etc., that would require much longer simulations. | ||
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A quick word on Smilei | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
As previously stated, the numerical tool you will use for this | ||
practical is the PIC code Smilei [Derouillat2018]_. A prior knowledge of Smilei | ||
is not mandatory for the purposes of the practical exercises. Yet, | ||
feel free to check `Smilei’s website on GitHub<https://smileipic.github.io/Smilei/>`_ . | ||
The interested reader can also find additional | ||
`tutorials <https://smileipic.github.io/tutorials/>`_ focusing on physical | ||
processes not covered by this practical. | ||
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Smilei is an open-source and collaborative | ||
code freely distributed under a CeCILL-B license | ||
(equivalent to the GPL license for free-softwares). | ||
It can be run in 1D,2D,3D and cylindrical geometry with azimuthal modes decomposition, | ||
with a diverse suite of physical models and numerical techniques, | ||
from a laptop to supercomputers. | ||
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---- | ||
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References | ||
^^^^^^^^^^ | ||
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.. [BirdsallLangdon] `C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation, Taylor and Francis Group, 2004` | ||
.. [Lapenta] `G. Lapenta, Kinetic plasma simulation: Particle in cell method <https://juser.fz-juelich.de/record/283633/files/Lapenta_KT-2.pdf>`_ | ||
.. [Derouillat2018] `J. Derouillat et al., Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation, Computer Physics Communications, 222:351 – 373, 2018 <https://doi.org/10.1016/j.cpc.2017.09.024>`_ | ||
.. [Esarey2009] `E. Esarey et al., Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys., 81:1229–1285, 2009 <http://dx.doi.org/10.1103/RevModPhys.81.1229>`_ | ||
.. [Malka2012] `V. Malka, Laser plasma accelerators, Physics of Plasmas, 19(5):055501, 2012 <https://doi.org/10.1063/1.3695389>`_ | ||
.. [ShawCommandLineCrashCourse] `Z. A. Shaw, Command line crash course <https://www.computervillage.org/articles/CommandLine.pdf>`_ |
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.. _UsefulTools: | ||
Appendix: Cheatsheet | ||
---------------------------- | ||
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A: Command Line Terminal Cheatsheet | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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- When you feel lost, use the command ``pwd`` (mnemonic ``pwd``: present working directory) to display your present path. In general a path will have for example the form ``/gpfs/users/user_01``. This specific example means that you are in the folder ``user_01``, which is inside the folder ``users``, which is inside the folder ``gpfs``. | ||
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- To check the content of your present path, use the command ``ls`` (mnemonic ``ls``: list) | ||
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- Similarly, you can check the content of another directory, e.g. with a path called ``folder/subfolder``, using the command ``ls folder/subfolder/`` | ||
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- To move to a specific path, e.g. ``path/to/your/folder`` use ``cd path/to/your/folder`` (mnemonic ``cd``: change directory) | ||
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- To move up by one level from your present path, use the shortcut ``cd ..`` | ||
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- To change the name of a file or directory, use ``mv old_name new_name`` (mnemonic ``mv``: move) | ||
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- To move a file/folder into a folder ``move source destination_folder/``. The `source` can be a file or a folder. | ||
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- *Warning* This operation is irreversible! To remove a file, use ``rm filename`` (mnemonic ``rm``: remove). | ||
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- *Warning* This operation is irreversible! To remove an entire folder and its content, use ``rm foldername`` | ||
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---------- | ||
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.. _sec13: | ||
B: How to prepare a simulation | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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Each time an exercise asks to run a new simulation, it is recommended to | ||
create a new directory, where you will insert the required files and run this new simulation. | ||
This will ensure that no previous data is lost or overwritten. | ||
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Following are the instructions to complete this process. | ||
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- Create a new simulation folder, for example called ``sim``, where you will run your simulation: | ||
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.. code-block:: bash | ||
mkdir simulation_folder_name | ||
cd simulation_folder_name | ||
Each time you do it, choose a convenient name of the folder to | ||
remember which simulation it contains. In order to avoid overwriting data, it is recommended to create | ||
a new simulation folder for each simulation. | ||
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- Go inside the simulation folder, e.g. with the command ``cd simulation_folder_name``. | ||
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- Inside the simulation folder, you will need a file to submit a simulation job to the job scheduler, e.g. ``submission_script.sh``. | ||
You can transfer the file you already have through the comand ``cp``: | ||
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.. code-block:: bash | ||
cp $WORKDIR/TP-M2-GI/submission_script.sh simulation_folder_name/ | ||
The last command will copy the file ``$WORKDIR/TP-M2-GI/submission_script.sh`` inside the folder called ``simulation_folder_name`` in your present working directory. | ||
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- Inside the simulation folder, you will need also the input file of your simulation ``InputNamelist.py``. A copy of the ``InputNamelist.py`` should be in ``cd $WORKDIR/TP-M2-GI`` of Ruche, | ||
have a copy in another folder you can use the ``cp`` command (add the source and destination paths.) | ||
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---------- | ||
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C: How to Run your simulation | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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- Check if you have all the required files (submission script, input namelist) through the command ``ls`` | ||
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- Remember to uncomment the necessary variables and blocks as explained in the exercise before launching a simulation. | ||
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- Launch your simulation job: | ||
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.. code-block:: bash | ||
sbatch submission_script.sh | ||
- To check the status (running/queueing etc) of yout job: | ||
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.. code-block:: bash | ||
squeue -u $USER | ||
This should also return the number ``JobId`` of your job, necessary for the next command. | ||
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- To delete your job from the queue: | ||
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.. code-block:: bash | ||
scancel JobId | ||
- To read the end of the log file and let it refresh (if you want to watch your simulation execute for example): | ||
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.. code-block:: bash | ||
tail -f smilei.log | ||
The the comand ``ctrl+C`` will allow you to stop watching the file `smilei.log`. | ||
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---------- | ||
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D: How to postprocess your simulation results | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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- Open ``IPython`` (before, you will need to load the Python modules and define variables like how you did to compile the code, and be sure you have compiled ``happi``): | ||
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.. code-block:: bash | ||
ipython | ||
- Import the libraries you need: | ||
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.. code-block:: bash | ||
import happi | ||
import numpy as np | ||
import matplotlib.pyplot as plt | ||
The output files have the extension ``.h5`` and can be opened with the postprocessing library ``happi``. You will need also the | ||
file ``smilei.py``, generated at the start of your simulation. | ||
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- Open your simulation: | ||
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.. code-block:: bash | ||
S = happi.Open("path/to/my/results") | ||
Here, ``"path/to/my/results"`` is just an example of path, you need to put the path of your simulation. | ||
If you use simply ``S = happi.Open()``, the library ``happi`` open the results inside the current working directory. | ||
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For your convenience and quick reference, some of the most commonly used commands of ``happi`` are reported. | ||
Do not hesitate to copy and paste the following commands in ``IPython`` and adapt them to the problem you are solving. | ||
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Remember that the results are in normalized units, but you can specify also SI units for the plot. | ||
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D.02: Open a simulation | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
To import the library ``happi`` in ``IPython`` and open a simulation in the folder, use:: | ||
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import happi; S = happi.Open("path/to/simulation") | ||
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In this specific example the folder’s path is called for example ``"path/to/simulation"`` | ||
(use the path of your simulation instead!). | ||
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The last command will create an object called ``S``, our simulation, | ||
which contains all the necessary data, taken from the input namelist and from the | ||
output files. | ||
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You can easily access parameters from the input namelist, for example:: | ||
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S.namelist.dx | ||
S.namelist.Main.geometry | ||
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In general, if you tap ``S.`` or add the name of the blocks and then use the tab key, | ||
you will see the available blocks and variables. | ||
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D.03: Plot diagnostics | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
To open a specific diagnostic, like the ``Probe1`` defined in the namelist, | ||
and plot the longitudinal electric field ``Ex`` contained in that diagnostic, use:: | ||
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S.Probe.Probe1("Ex").plot() | ||
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Other physical fields defined on the grid that you can plot are for example ``Ey`` | ||
(the electric field component in the `y` direction), | ||
``Rho`` (the charge density). Remember that you can also specify operations | ||
on the fields, like ``2.*Ey-Ex``, when you declare your variable. | ||
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By default, the last command will only plot the requested field obtained | ||
in the last simulation output available for that diagnostic. | ||
You may instead be interested in a specific iteration of the simulation (in code units), | ||
like iteration 1200. To plot only that timestep, just specify it inside the diagnostic block:: | ||
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S.Probe.Probe1("Ex", timesteps=1200).plot() | ||
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Remember that this timestep corresponds to physical time ``1200*dt``, where ``dt`` | ||
is the simulation timestep, which can be found with ``dt=S.namelist.Main.timestep``. | ||
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To know which iterations are available in your diagnostic, you can use:: | ||
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S.Probe.Probe1("Ex").getAvailableTimesteps() | ||
D.04: Specifying the physical units | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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The code, including its outputs, uses normalized units. | ||
You can specify the units you want to use, e.g.:: | ||
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S.Probe.Probe1("Ex",units=["um","GV/m"]).plot() | ||
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D.05: Visualize multiple timesteps | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
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Normally you have a sequence of outputs, so you may want to see an animation | ||
of the outputs or to be able to slide between the saved timesteps. | ||
It is possible to do it with these commands respectively:: | ||
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S.Probe.Probe1("Ex").animate() | ||
S.Probe.Probe1("Ex").slide() | ||
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In the last case, just slide with the horizontal bar to see the evolution of the plotted quantity at | ||
different iterations. | ||
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D.06: Modify elements of the plot | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
Like in Python, you may be interested into specifying the figure number, | ||
or change the colormap, or specifying a maximum or minimum value plotted. | ||
You can include the same corresponding keywords inside the plot/animate/slide command. | ||
As an example where all these elements are specified:: | ||
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S.Probe.Probe1("Ex").plot(figure=2, vmin = -0.1, vmax = 0.1 , cmap = "seismic") | ||
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D.07: Plot multiple lines in the same window | ||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
You may be interested in visualizing multiple curves in the same plot window. | ||
Then the command ``happi.multiPlot`` is what you need. | ||
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For example, if you want to plot two quantities from the same simulation, | ||
scaling them through multiplying factors:: | ||
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import happi | ||
S = happi.Open("path/to/simulation") | ||
E = S.Probe.Probe1("0.1*Ex", timesteps=1000, label = "E") | ||
rho = S.Probe.Probe1("-10.*Rho", timesteps=1000, label="charge density") | ||
happi.multiPlot(E, rho, figure = 1) | ||
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The previous example draws two curves, but you can use multiPlot to plot more curves. | ||
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Note that you can plot also different timesteps from the same simulation with the same procedure. | ||
Similarly, you can plot two quantities from two or more simulations:: | ||
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import happi | ||
S1 = happi.Open("path/to/simulation1") | ||
Ex1 = S1.Probe.Probe0("Ex",timesteps=1000) | ||
S2 = happi.Open("path/to/simulation2") | ||
Ex2 = S2.Probe.Probe0("Ex",timesteps=1000) | ||
happi.multiPlot(Ex1,Ex2) | ||
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D.08: Export the data | ||
^^^^^^^^^^^^^^^^^^^^^^^^^ | ||
Those shown above are all the ``happi`` commands you may need for this practical. | ||
If you prefer instead to analyze your results with ``numpy`` arrays in Python, | ||
you can easily export your diagnostic to a ``numpy`` array, for example:: | ||
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import happi | ||
import numpy as np | ||
S = happi.Open("path/to/simulation") | ||
myArrayVariable = S.Probe.Probe1("Ex").getData() | ||
myArrayVariable = S.Probe.Probe1("Ex", timesteps=1200).getData() | ||
myArrayVariable = np.asarray(myArrayVariable) | ||
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In case you want to export the data to a text file ``.txt`` and read it with | ||
another language, you can write this array on a text file using:: | ||
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np.savetxt("file_name.txt", myArrayVariable) |
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