Abstract

Lumped transmission line equivalent circuit models offer a proven technique for calculating small signal admittances of MOS capacitors. Typically, this is done by means of 6 × 6 matrix multiplications. Recently, however, we derived for the lossless MOSC a set of three differential equations which are easier and more convenient to solve than the more general matrix method. Here we review simple circuit topology to explore the fundamental limitations of the three differential equation system and find that minority carrier scattering and bulk recombination losses can be included. Each of these losses contributes an additional term to each of the three lossless equations, resulting in a system of equations that is modular with respect to the inclusion of either of these two losses. The majority carrier scattering loss is more easily taken care of by the matrix method, but is only important at very high frequency (e.g. 10 7 Hz).

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