Compact MOSFET Models for VLSI Design

Appendix C:

PSP Two-point Collocation Method

In this appendix we shall discuss the two point collocation method (N = 2) given in Wang et al. [1]. The charge sheet model equation for the channel current of a MOS transistor and continuity equation give:

where = /, and the coordinate y is normalized to the channel length L. The mobility is assumed to be constant along the channel with the value μ_eff. The non-quasistatic model considering the velocity saturation effect is discussed in Wang et al. [2]. Let the second term in the above equation be G(). Thus:

which can be written as:

where:

and: ...