M. Pindo et al., A VARIATIONAL APPROACH TO EVALUATE INTERDIODE CAPACITANCES IN PIXEL DETECTORS, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 388(1-2), 1997, pp. 241-246
A two-dimensional method, based on the variational approach to the sol
ution of differential equations, has been developed to evaluate interd
iode capacitances appearing among neighbouring junctions in pixel dete
ctors. The results are in good agreement with experimental data, thus
showing the reliability of the proposed technique to solve Laplace equ
ation in properly chosen pixel detector models. The main feature of th
e proposed method is its well-established mathematical foundation. Mor
eover, it can be easily extended to different diode geometries, thus h
elping in detector design and characterization.