semiconductor-based radiation detector

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The dimension of detector is 12x12x12 mm3. Applied 1 V in z=12 plane at 5.5 Here is the weighting potential in density plot, equipotential line (green), and electric field vectors (black). It is weight potential in pixellated detector along z-axis at x = 6 mm and y = 6 mm. The shape of weighting potential is same with that of Frisch-grid and hemi-spherical detector. Now you can understand ..

Dirichlet (디리클레) 경계 조건와 Neumann (노이만) 경계조건은 물리학에서 편미분 방정식(PDE, partial differential equation)을 풀다보면, 반드시 접하게 되는 용어들이다.편미분 방정식을 풀어, 해를 구하기 위해서는 시간에 변수에 포함되는 경우, 초기 조건 (t=0)이 포함되어야 하고, 공간 변수에 대한 경계조건이 반드시 주어져야 한다. 공간변수에 대한 경계조건은 Dirichlet 혹은 Neumann 형태로 주어지는데, 1. Dirichelt 경계조건은 함수의 값으로 경계가 주어지고,2. Neumann 경계조거은 함수의 미분값으로 경계가 주어진다. 수학적으로는 아래의 그림을 참조하면 이해하기가 쉬울것이다.

The detector configuration is 6x6x12 mm3. The position of Frisch-grid is 1-mm below the anode. The only variable is the width of Frisch-grid. Here is the results of the weighting potential for 2-mm and 5-mm Frisch-grid band width.The width of Frisch-grid affects on the steepness of weighting potential. Weighting potential becomes steeper as the width of Frisch-grid wider. Figure 2 shows electric..

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Temperature profiles inside of 300-mm length and 70-mm diameter cylindrical heater filled with air considering radiation and convection of heat. Heating element is in 1150 (both sidewall) and top and bottom are in open state.FEM with Mathematica enable easily the simulation of temperature profile solving PDE (partial differential equation).

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. ..

Weighting potential distribution in bar-shaped (6x6x12 mm3) CdZnTeSe detector. 5-mm wide Frisch-grid band attached to below 1-mm from anode. It was easily calculated with FEM (finite element method) using Mathematica. Left side (z=0) is cathode and right side (z=12) is anode. Sometimes (in scientific paper) the location of Frisch-grid is not properly discribed. The location of Frisch-grid sho..