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This document presents a detailed methodology for integrating SPL and ENGE calculations within a 3D CAD framework. It introduces a novel magnetic field mapping technique, utilizing combined models to accurately represent current density and magnetic flux density. Key advancements include strategies to manage geometry without symmetry, improved meshing techniques to reduce errors, and precise positioning for effective simulations. The study aims to enhance the understanding of magnetic field interactions by carefully controlling model configurations and outputs, ultimately aiming for practical applications in optics and magnet design.
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ENGE01 status 22/June/2012 Toshi Gogami
Contents • ENGE+SPL TOSCA • New map debut !
Process • Ever • ENGE+SPL 3D-CAD SAT file • Create combined model directly • New strategy • ENGE + SPL 3D-CAD SAT file • SPL • SPL + tilt ….(1) • ENGE • ENGE + tilt …..(2) • Combine (1) and (2) Errors….
The way to SPL+ENGE mag. Field map • SPL • Fill holes in CAD to avert volume mesh errors. • Bvs. current density scan instead of B-I curve. Set the current density which can reproduce the measurements of magnetic flux density. • SPL + tilt ….(1) • Read precise positions and angles in global coordinates from 3D-CAD file. • Input • With no symmetry • ENGE • Fill holes in CAD to avert volume mesh errors. • B vs. current density scan instead of B-I curve. Set the current density which can reproduce the measurements of magnetic flux density. • ENGE + tilt …..(2) • Read precise positions and angles in global coordinates from 3D-CAD file. • Input • With no symmetry • Combine (1) and (2) • Set coordinates system to the same as GEANT4 code • Solve Map For SPL ; Tilt = rotation
SPL Not going to be saturated. Need to be checked. SPL holes • Chose 1050.0 [ A/cm2] • (to be ~1.7 T )
SPL + tilt (with no symmetry) Usually we use symmetry This time I tried modeling without symmetry for the further calculation including ENGE.
ENGE (current density scan) ( -50.0 , -75.0 , 0.0 ) • Chose 155.0 [A/cm2] • ( ~1.56 T )
Shapes of Background air One box background Could not meshed well anyhow…. Two boxes background (Matching for the meshing is better ! )
Same coordinate system as GEANT4 code Rotated to set them same as GEANT4 code
Incidence of an electron( check ) Track Particle = electron p = 300 MeV φ= 1.67 rad θ = 87.2 mrad Passed through Okayasu Dr thesis
Effects from the other magnet • The effect on magnetic field from the other side of magnet. • 4 Points • P1 = (40 , 15 , 100) • P2 = (20 , 10 , 80 ) • P3 = (10 , 5 , 70 ) • P4 = ( 5 , 3 , 60 ) • 5 sets • SPL + ENGE model • SPL (ON) + ENGE (ON) .... Set1 • SPL (OFF) + ENGE (ON) ....Set2 • SPL (ON) + ENGE(OFF) ....Set3 • ENGE model ....Set4 • SPL model ....Set5 Checked : Set1 = Set2+Set3 Comparison 1 Comparison 2 OK
Set4 – Set2 (comparison 1) Absolute values Huge difference 1 2 3 Ratio 4
Set5 – Set3 (comparison 2) Absolute values 0.3 T ! 1 2 3 Ratio 4 Huge difference
Set5 – Set3 (comparison 2) Changed • Central Magnetic flux density • Shape of fringe fields By By SPL + ENGE (OFF) model = Set3 ONLY SPL model = Set5 By on this line (Center of SPL gap) X : -40 ~ 50 cm Y,Z : 0.0 , 33.95 cm
Conclusion from those comparison Big difference ! The effects on the calculation of magnetic fields • Depend on the shape and the configuration of magnets • Optical nature is intricately changed according to these plots which shows the effects for all components are different. To obtain magnetic fields which have practical nature of optics • When one calculate a magnet, put another magnet on the setup. (relatively finer mesh) • Add up those magnetic field together later. • Calculate magnetic field for those magnets at once. (relatively rough mesh) Now available
Mesh size dependence y SPL + Tilt Checked coordinates P1 = (40 , 15 , 100) P2 = (20 , 10 , 80 ) P3 = (10 , 5 , 70 ) P4 = ( 5 , 3 , 60 ) (Bx, By , Bz) • 3cm mesh • 1: -22.1 , 86.2 , -26.7 • 2: -225.0 , 301.8 , -263.4 • 3: -1297.8 , 2129.1 , -1081.5 • 4: -3248.6 , 9181.8 , -1033.9 • 4cm mesh • 1: -22.1 , 86.4 , -26.7 • 2: -24.7 , 301.9 , -262.4 • 3: -1298.0 , 2136.3 , -1084.7 • 4: -3277.5 , 9187.5 , -1035.8 • 12cm mesh • 1: -22.4 , 85.5 , -26.8 • 2: -25.9 , 292.3 , -266.1 • 3: -1308.9 , 2146.9 , -1108.5 • 4: -3209.4 , 9170.5 , -1007.3 x z Change this air’s mesh size No big differences. < A few 10 G level
SPL + ENGE GEANT4 Simulation(ENGE01) • The latest version of ENGE01 (tfarm1:/home/dragon/ENGE01) • Revision 174 (subversion) • With new map ( One map for SPL+ENGE ) pe = 270 MeV pe = 310 MeV pe = 390 MeV Map : combine_splenge_rough_19June2012.map θ : 0.1 ± 0.1 φ : 1.57 ± 1.5
Summary • ENGE+SPL TOSCA calculation • New map is now available(combined version) • To obtain magnetic fields which have practical nature of optics • When one calculate a magnet, put another magnet on the setup. (relatively finer mesh) • Calculate magnetic field for those magnets at once. (relatively rough mesh) • Now available • SPL + ENGE Geant4 Simulation • Rev. 174
SPL Target to center position : • x : -6.395 cm • y : 0.0 cm • z : 33.95218 cm conductor center • x : 13.67 cm • y : 0.0 cm • z : 33.95218 cm