I am not certain that this information will be useful to you (see excerpt and link below); but you might consider looking at it just in case. Cheers, Dr. D.
Excerpt from dissertation found at link next under...
"The linear method is the standard method of extracting SBH (Equation
5.10). The Gaussian method is a popular method for judging inhomogeneous interfaces
(Equation 5.11). The TFE method is the proposed model based upon the TFE
contribution (Equation 5.9). The labels Odd3, Odd5 and Odd7 represent the highest
order term of the odd order polynomial used in the extraction (Equation 5.9). The
method listed as actual is the actual image charge-lowered SBH from the simulated
voltage profile. The variation comes from the small temperature dependence of this
Please check the work by Dr. Raymond Tung. It's a generalized version of the parallel conduction model. I found it superior to the gaussian distribution model.