

# Goal



Here we will run the Cyclotron flavour of OPAL (OPALcycl) in two distinct modes



1. Tune Calculation



* Tune Calculation with OPAL's closed orbit finder (only in OPAL 2.2 and higher)



2. Accelerated orbit mode



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3. 3D space charge calculation (under construction)



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# Preparation



This example is for OPAL 2.0.x and 1.6.x (see compatible versions in examples).



If you do not have already access to OPAL, you can visit the download page [the download page](home). In



case OPAL is on your cluster please check with the administrator how to use. PSI user please click [here](OPALAtPSI).






# Needed Input Files



For this project we need input files, that you obtain by clicking on links below:






 File  Description 



  



 [cyclotron1.in](uploads/7697ea84f47c30e9c80c63f58b8505eb/cyclotron1.in) and [cyclotron2.in](uploads/7d4ce0fdf2f5cfaed4921c58d26e7026/cyclotron2.in) ([cyclotron1.in](Cyclotron/1.6/cyclotron1.in) and [cyclotron2.in](Cyclotron/1.6/cyclotron2.in) for 1.6.x)  the OPAL input files 



 [bfield.dat](Cyclotron/bfield.dat)  magnetic field map 



 [rffield1.dat](Cyclotron/rffield1.dat) and [rffield2.dat](Cyclotron/rffield2.dat)  rf field maps 



 [dist1.dat](Cyclotron/dist1.dat) [dist2.dat](Cyclotron/dist2.dat)  the input distributions 



 [ic.dat](Cyclotron/ic.dat)  initial conditions for the tune calculation 



 [refsol.dat](Cyclotron/refsol.dat)  the reference solution for the tune calculation 



 [cyclotron1.gpl](Cyclotron/cyclotron1.gpl) and [cyclotron2.gpl](Cyclotron/cyclotron2.gpl) ([cyclotron2.gpl](Cyclotron/1.6/cyclotron2.gpl) for 1.6.x)  plotting scripts for gnuplot 






# Tune Calculation using cyclotron1.in



### Needed files: cyclotron1.{in,bash,gpl}, bfield.dat, dist1.dat, ic.dat & refsol.dat






For the tune calculation we need initial conditions (ic): energy, radius and radial momenta given to us by an other program in the file ic.dat.



The Bash script [cyclotron1.bash](Cyclotron/cyclotron1.bash) will run the tune calculation for all energies specified in ic.dat and store the



radial and vertical tune values together with reference data.



Make sure the script has execute permission (`chmod u+x cyclotron1.bash`).



A comparison can be plotted with [gnuplot](http://www.gnuplotting.org), by executing






`gnuplot cyclotron1.gpl`






The result is saved in cyclotron1.pdf and shown below.






![tunesFIXPO](Cyclotron/cyclotron1.png)






### Tune Calculation with OPAL's closed orbit finder (only in OPAL 2.2 and higher)






### Needed files



 File  Description 



  



 [cyclotronTune21.in](uploads/a45407d49ba5b59f9fb1c43d55664b5c/cyclotronTune21.in)  OPAL input file 



 [bfield.dat](Cyclotron/bfield.dat)  magnetic field map 



 [plotTunes.py](Cyclotron/plotTunes.py)  python (version 3) plotting script for tune calculation 






Since version 2.2 OPAL has a closed orbit finder with tune calculation based on Gordon's algorithm.






The important commands in the input file are:






```



OPTION, CLOTUNEONLY =true;



```






This tells OPAL to only perform the closed orbit finder and tune calculation.






```



RingCycl: CYCLOTRON, TYPE=RING, CYHARMON=6, PHIINIT=0.0, PRINIT=pr0, RINIT=r0 , SYMMETRY=8.0, RFFREQ=f1, FMAPFN="bfield.dat", FMLOWE=72, FMHIGHE=590;



```






The minimal and maximal energy for the tune calculation (72 and 590 MeV).






```



DistTO: DISTRIBUTION, TYPE=GAUSSMATCHED, LINE=L1,



NSTEPS=1440, DENERGY=0.001, MAXSTEPSCO = 100, NSECTORS=8, SECTOR=FALSE;



```






The matched gauss distribution with parameters for the closed orbit finder



(energy steps of 0.001 GeV, average the field over 8 sectors and a maximum of 100 steps for the closed orbit finder to converge).



More information on the matched gauss distribution can be found in the [Manual](http://amas.web.psi.ch/opal/Documentation/2.2/OPAL_Manual.html#sec.distribution.gaussmatchedtype).






Run OPAL with






`opal cyclotronTune21.in`






and plot the result from the output file `data/tunes.dat` with






`python3 plotTunes.py`






The result is saved in `RingTunes.png` and shown below.






![TunesClosedOrbitFinder](Cyclotron/RingTunes.png)






# Accelerated Orbit Calculation using cyclotron2.in



### Needed files: cyclotron2.{in,gpl}, bfield.dat, dist2.dat, rffield1.dat & rffield2.dat



For this calculation the initial conditions are set in the input file. Run OPAL with






`opal cyclotron2.in  tee cyclotron2.out`






where you also save the output in cyclotron2.out. It is always a good idea to check the standard output of OPAL in order to reveal problems.






`gnuplot cyclotron2.gpl`






As in the previous example, the result is saved in cyclotron2.pdf and shown below.






![Orbit](Cyclotron/cyclotron2.png)






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# 3D space charge calculation



### Under construction






In cyclotron2.in, only the distribution and beam command, together with the field solver needs to be adapted.






Dist1 as defined here






**Dist1:DISTRIBUTION, DISTRIBUTION=GAUSS**






**sigmax=3E3, sigmapx=1E5,**






**sigmay=3E3, sigmapy=1E5,**






**sigmat=3E3, sigmapt=1E5,**






**CORRX = 0, CORRY =0, CORRT = 0;**






represents a beam with 3 mm rms. The field solver **Fs1** is the standard open domain FFT solver:






**Fs1:FIELDSOLVER, FSTYPE=FFT, MX=64, MY=64, MT=64, PARFFTX=true, PARFFTY=true, PARFFTT=false, BCFFTX=open, BCFFTY=open, BCFFTT=open;**






and the beam is represented by **1E5** macro particles






**Beam1: BEAM, PARTICLE=PROTON, pc=P0, NPART=1E5, BCURRENT=1.0E6, CHARGE=1.0, BFREQ= f1;**



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