Title :
Calculation of pixel detector capacitances through three dimensional numerical solution of the Laplace equation
Author :
Kavadias, S. ; Misiakos, K. ; Loukas, D.
Author_Institution :
Inst. of Microelectron., NCSR Demokritos, Athens, Greece
fDate :
4/1/1994 12:00:00 AM
Abstract :
A method for the solution of the three dimensional Laplace equation is presented. The method applies to planar geometry cases, such as pixel detector devices, characterized by mixed boundary conditions. Through this algorithm the capacitances associated with pixel detectors are calculated. These capacitances, which are the pixel to substrate and the interpixel capacitances, are of great importance in the design of a pixel detector since they influence the noise and the cross talk effects between pixels. Capacitances for various pixel and interpixel dimensions are presented along with an analytical approximation for the calculation of the total pixel capacitance
Keywords :
boundary-value problems; capacitance; crosstalk; electrostatics; numerical analysis; partial differential equations; position sensitive particle detectors; semiconductor counters; semiconductor device noise; capacitance; cross talk; interpixel capacitance; mixed boundary conditions; noise; numerical solution; pixel capacitance; pixel detector; pixel to substrate capacitance; three dimensional Laplace equation; Boundary conditions; Capacitance; Detectors; Geometry; Laplace equations; Leakage current; Poisson equations; Sensor arrays; Strips; Voltage;
Journal_Title :
Nuclear Science, IEEE Transactions on
