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Study of electric field distortion and charge careers collection. f= U. f= 0. W. H. L. detector geometry. Electric field calculation in germanium. poisson equation for potential: boundary conditions: electric field:. Electric field calculation in germanium.
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Study of electric field distortion and charge careers collection Samuel Lago
f=U f=0 W H L detector geometry Samuel Lago
Electric field calculation in germanium • poisson equation for potential: • boundary conditions: • electric field: Samuel Lago
Electric field calculation in germanium • three dimension poisson equation: Samuel Lago
3D detector geometry Samuel Lago
Finite-Volume-Method • The detector is devided into rectangular controlvolumes. • The potential is approximated through the grid points in the center of every controlvolume. 2D grid 3D grid Samuel Lago
Finite-Volume-Method discretization of poisson equation: Samuel Lago
Finite-Volume-Method discretization of poisson equation: Samuel Lago
Finite-Volume-Method discretization of poisson equation (source term): Samuel Lago
Finite-Volume-Method discretization of poisson equation (left hand side): Samuel Lago
Finite-Volume-Method discretization of poisson equation (left hand side): Samuel Lago
Finite-Volume-Method discretization of poisson equation (Dirichlet boundary): Samuel Lago
Finite-Volume-Method discretization of poisson equation (Neumann boundary): Samuel Lago
Finite-Volume-Method discretization of poisson equation: with all coefficients we get and a linear system of equations Samuel Lago
Potential p-type detector blocking contact on unsegmented electrode U = 4000 V geometry : 0.06m x 0.06m x 0.02m r(z): r0=1.0 e-3, r1=2.0 e-3 pixel-size: 10mm x 10mm Samuel Lago
Potential r0 p-type detector blocking contact on unsegmented electrode U = 4000 V geometry : 0.06m x 0.06m x 0.02m r(z): r0=1.0 e-3, r1=2.0 e-3 rc=1.6 e-3 pixel-size: 10mm x 10mm r1 rc r1 r0 Samuel Lago
Potential p-type detector blocking contact on unsegmented electrode U = 4250 V geometry : 0.06m x 0.06m x 0.02m r(x): r0=1.0 e-3, r1=2.0 e-3 pixel-size: 10mm x 10mm Samuel Lago
Potential p-type detector blocking contact on unsegmented electrode U = 4250 V geometry : 0.06m x 0.06m x 0.02m r(x): r0=1.0 e-3, r1=2.0 e-3 pixel-size: 10mm x 10mm r1 r0 Samuel Lago
Potential p-type detector blocking contact on segmented electrode U = 4000 V geometry : 0.06m x 0.06m x 0.02m r(z): r0=1.0 e-3, r1=2.0 e-3 pixel-size: 10mm x 10mm Samuel Lago
Potential r0 r0 n-type detector blocking contact on segmented electrode U = 4000 V geometry : 0.06m x 0.06m x 0.02m r(z): r0=1.0 e-3, r1=2.0 e-3 rc=1.6 e-3 pixel-size: 10mm x 10mm r1 r1 rc rc r1 r1 r0 r0 Samuel Lago
Depletion charge blocking contact on segmented electrode z Samuel Lago
Depletion charge blocking contact on unsegmented electrode Samuel Lago
Pulse shapes Total charge at time "t" Samuel Lago
Pulse shapes r0=1.0E-3 r1=2.0E-3 r=const=1.6E-3 Samuel Lago
Calculations with the LOAX geometry Samuel Lago
Calculations with the LOAX geometry Samuel Lago
investigation of the position resolution with r(x,y,z) in n- and p-type detector calculatulation of potential and electric Field with r(x,y,z) in COMSOL export Data for investigation of the position resolution in Fortran-Code Outlook Samuel Lago