Weighting potential in hemi-spherical detector is calculated using Mathematica with FEM. Detector configuration is 12x12x6 mm3. Five surfaces except top are fully covered with gold electrode (cathode) and center of top surface has a 1-mm diameter elctrode (anode). Potential in cathode and anode is 0 V and 1 V, respectively.
Weighting potential along the z-axis for 0.5-mm diameter anode. The shape of weighting potential depends on the size of anode. As the anode size gets smaller, the potential slope gets steeper.
The mathematica code is very simple. If you need code, let me know.
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