Difference between revisions of "Niowave 2-2016"

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(Created page with "The energy deposited by electrons scattered into a 3.48 diameter stainless steel beam pipe (1.65 mm thick) from a PbBi target as a function of a uniform Solenoidal magnetic fiel…")
 
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The energy deposited by electrons scattered into a 3.48 diameter stainless steel beam pipe (1.65 mm thick) from a PbBi target as a function of a uniform Solenoidal magnetic field.
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Event files were generated assuming an ideal solenoid having an inner radius of 2.527 cm surrounding a beam pipe with a radius of 1.74 cm. Electrons impinge a 2mm thick PbBi liquid target that has a surface area of 2.54 cm x 2.54 cm.  Stainless steel windows 0.25 mm thick sandwhich the PbBi target at locations Z= -10.4875 and Z= -10.7125 cm. The target is located at Z = -10.6 cm and the beam begins upstream at Z =  -1.1 m.  The incident electron beam is a 0.5 cm radius cylinder.
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===Positrons exiting the Solenoid===
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The solenoid design has changed such that the max field is 0.20 Tesla (0.22) and its length is 150 mm. 
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{| border="1"
 
{| border="1"
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{| border="1"
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| [[File:TF_Niowave_SolenoidDesign_12-04-15.png | 200 px]] || [[File:TF_LBEtarg1_1-12-16.png | 200 px]]|| [[File:TF_LBEposEvent_1-12-16.png | 200 px]]
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| B-field (Tesla) || Hot Spot (<math>MeV/e^-</math>)
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|-
 
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| 0.0  || 0.35
 
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|-
 
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|  0.3    || 0.35
 
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|-
 
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|  1.0  || 0.35
 
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|-
 
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|  1.5  || 0.22
 
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|-
 
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|  2.0  || 0.10
 
 
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|-
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|  4.0  || 0.002
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| Overall Target layout || Closeup of Target Simulation Geometry. The center of the 0.25mm thick stainless steel windows are a distance of 1.125 mm from the center of the LBE target.  <math>d_{USS} = d_{DSS} =</math> 1.125 mm, <math>t_{LBE}=2</math> mm, <math>t_{SS} =</math> .25 mm. || An example positron production event.  The yellow lines represents a sensitive detector used to record all positron events.  The red line represents the incident 10 MeV electron that produces two bremsstrahlung photons shown in green.  The first photon has an energy of 2.151 MeV and pair produces in the stainless steel window.  The second photon has an energy of 1.393 MeV and exits the system without interacting.  The first photon is created at time t= 3.323 ns. The first photon produces a  234.6 keV electron and a 894.2 keV positron at time t=3.336 ns.  Only the positron has enough energy to exit the stainless steel window.
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|+ Apparatus
 
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|}
  
  
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To convert this deposited energy per incident electron on the target to a heat load in the pipe you need to divide by the area of the pipe.
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Event files for positrons and electrons are created at two positions, the exit of the downstream SS windows and the exit of the solenoid.
  
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A histogram is filled with 1 cm bins along the Z axis.  The surface area becomes <math>1 cm \times 2 \pi 3.48/2 = 10.933 cm^2</math>.  The beam pipe diameter assumed is 3.48 cm.
 
  
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When filling the histogram binned 1 cm in Z, you should weight it by the amount of depositred energy divided by the circumference of the pipe and divided by the number of incident electrons on the target (5 million).  The energy units are converted to keV by multiplying the numberator by 100 or in this case dividing by 5000 instead of 5 million.
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Twenty (20) million incident electrons with an energy of 10 MeV and forming a cylindrical beam with a 0.5 cm radius cylinder impinged a 2mm thick LBE target located at Z = -106 mm.  The Z location of positrons exiting the beam pipe at the end of the 15 cm long solenoid is 44 mm.  The positrons are 150.00 mm from the middle of the LBE target (Z=44mm).
  
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A space delimited text file with the above events in the format of
  
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TH1F *T00N=new TH1F("T00N","T00N",100,-1000.5,-0.5)
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PID, x(mm),y,z,Px,Py,Pz(MeV),t(ns)
  
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Electrons->Draw("evt.EoutPosZ>>T00N","evt.DepE/10.088/5000")
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in units of mm for distance and MeV for momentum is located at
  
  
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http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps6MeV.dat
  
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To convert From Mev/ e- to kW/cm^2 assuming a current of 1mA (10^-3 C/s) you 
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for positrons exiting the last SS windows
  
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<math>\left( \frac{\mbox{MeV}}{\mbox{cm}^2 \mbox{e}^-}\right) \times \left( \frac{ \mbox{e}^-}{1.6 \times 10^{-19}\mbox{C}}  \right ) \times \left( \frac{1 \times 10^{-3} \mbox{C}}{\mbox{s}} \right )  \times \left( \frac{1.6 \times 10^{-13}\mbox{W} \cdot \mbox{ s}}{\mbox{MeV} }\right )</math>
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and
  
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<math>\left( \frac{\mbox{keV}}{\mbox{cm}^2 \mbox{e}^-}\right) = \left( \frac{\mbox{W} }{\mbox{cm}^2 } \right )</math>
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http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps6MeV.dat
  
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for electrons.
  
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==Sample Events==
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The Sensitive detector is located either 1.1 mm (Z=-103.775 mm) away from the last SS window or 15 cm (Z= 46.225 mm )downstream.
  
 
 
 
{| border="1"
 
{| border="1"
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| [[File:BeamPipeDepEmev-vs-B.png |200px]] || [[File:BeamPipeDepPower-vs-B.png |200px]]|| [[File:BeamPipeDepPower-vs-lowB.png |200px]] 
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| particle|| Energy || At SS Exit Z= -10.3775 cm|| At Solenoid Exit
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|+ Energy deposited (MeV) along a 1 m long beam pipe of stainless steel 1.65 mm thick.
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|-
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| Positrons || 6 MeV  ||  http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps6MeV.dat || http://www2.cose.isu.edu/~foretony/PosExitSolenoidNoGaps6MeV.dat
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|-
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| Positrons || 8 MeV  ||  http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps8MeV.dat || http://www2.cose.isu.edu/~foretony/PosSolenoidExitNoGaps8MeV.dat
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|-
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| Positrons || 10MeV  ||  http://www2.cose.isu.edu/~foretony/PositronsAtExitWindowNoGaps10MeV.dat|| http://www2.cose.isu.edu/~foretony/PositronsAtSolExitNoGaps10MeV.dat
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| Electron || 6 MeV  ||  http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps6MeV.dat || http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps6MeV.dat
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|-
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| Electrons || 8 MeV  ||  http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps8MeV.dat || http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps8MeV.dat
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|+ Sample Event Files
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|-
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| Electrons || 10 MeV ||  http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps10MeV.dat || http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps10MeV.dat
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|+ Sample Event Files
 
|}
 
|}
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With SS windows
 
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Positrons->Draw("sqrt(evt.BeamPosPosX*evt.BeamPosPosX+evt.BeamPosPosY*evt.BeamPosPosY)","evt.BeamPosMomZ>0 && evt.BeamPosPosZ>-500 && sqrt(evt.BeamPosPosX*evt.BeamPosPosX+evt.BeamPosPosY*evt.BeamPosPosY)<97.4/2");
 

Revision as of 20:58, 12 April 2016

Event files were generated assuming an ideal solenoid having an inner radius of 2.527 cm surrounding a beam pipe with a radius of 1.74 cm. Electrons impinge a 2mm thick PbBi liquid target that has a surface area of 2.54 cm x 2.54 cm. Stainless steel windows 0.25 mm thick sandwhich the PbBi target at locations Z= -10.4875 and Z= -10.7125 cm. The target is located at Z = -10.6 cm and the beam begins upstream at Z = -1.1 m. The incident electron beam is a 0.5 cm radius cylinder.

Positrons exiting the Solenoid

The solenoid design has changed such that the max field is 0.20 Tesla (0.22) and its length is 150 mm.



TF Niowave SolenoidDesign 12-04-15.png TF LBEtarg1 1-12-16.png TF LBEposEvent 1-12-16.png
Overall Target layout Closeup of Target Simulation Geometry. The center of the 0.25mm thick stainless steel windows are a distance of 1.125 mm from the center of the LBE target. [math]d_{USS} = d_{DSS} =[/math] 1.125 mm, [math]t_{LBE}=2[/math] mm, [math]t_{SS} =[/math] .25 mm. An example positron production event. The yellow lines represents a sensitive detector used to record all positron events. The red line represents the incident 10 MeV electron that produces two bremsstrahlung photons shown in green. The first photon has an energy of 2.151 MeV and pair produces in the stainless steel window. The second photon has an energy of 1.393 MeV and exits the system without interacting. The first photon is created at time t= 3.323 ns. The first photon produces a 234.6 keV electron and a 894.2 keV positron at time t=3.336 ns. Only the positron has enough energy to exit the stainless steel window.
Apparatus


Event files for positrons and electrons are created at two positions, the exit of the downstream SS windows and the exit of the solenoid.


Twenty (20) million incident electrons with an energy of 10 MeV and forming a cylindrical beam with a 0.5 cm radius cylinder impinged a 2mm thick LBE target located at Z = -106 mm. The Z location of positrons exiting the beam pipe at the end of the 15 cm long solenoid is 44 mm. The positrons are 150.00 mm from the middle of the LBE target (Z=44mm).

A space delimited text file with the above events in the format of

PID, x(mm),y,z,Px,Py,Pz(MeV),t(ns)

in units of mm for distance and MeV for momentum is located at


http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps6MeV.dat

for positrons exiting the last SS windows

and

http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps6MeV.dat

for electrons.

Sample Events

The Sensitive detector is located either 1.1 mm (Z=-103.775 mm) away from the last SS window or 15 cm (Z= 46.225 mm )downstream.


particle Energy At SS Exit Z= -10.3775 cm At Solenoid Exit
Positrons 6 MeV http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps6MeV.dat http://www2.cose.isu.edu/~foretony/PosExitSolenoidNoGaps6MeV.dat
Positrons 8 MeV http://www2.cose.isu.edu/~foretony/PosAtExitWindowNoGaps8MeV.dat http://www2.cose.isu.edu/~foretony/PosSolenoidExitNoGaps8MeV.dat
Positrons 10MeV http://www2.cose.isu.edu/~foretony/PositronsAtExitWindowNoGaps10MeV.dat http://www2.cose.isu.edu/~foretony/PositronsAtSolExitNoGaps10MeV.dat
Electron 6 MeV http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps6MeV.dat http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps6MeV.dat
Electrons 8 MeV http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps8MeV.dat http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps8MeV.dat
Sample Event Files
Electrons 10 MeV http://www2.cose.isu.edu/~foretony/ElectronsAtExitWindowNoGaps10MeV.dat http://www2.cose.isu.edu/~foretony/ElectronsAtSolenoidExitNoGaps10MeV.dat
Sample Event Files
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