Dielectric function parametric model, and method of use

Details Dielectric function parametric model, and method of use Dielectric function parametric model, and method of use

1995-08-14

1998-08-18

Teska, Kevin J.

G01N 2100

Patent

active

057969833

ABSTRACT:
Novel dielectric function parametric model oscillator structures comprised of finite order polynomials and/or essentially zero-width finite magnitude discontinuities in appropriate sequences, which novel oscillator structures are suitable for application in a Kronig-Kramer consistent dielectric function oscillator structure based mathematical model, are disclosed. The present invention method of application enables production of one-dimensional normalized dependent variable vs. independent variable evaluating look-up tables by application of convolution integration effected oscillator structure Gaussian broadening, as applied to finite order polynomials, without the requirement that numerical derivatives or integrations be performed. In use, addition of contributions from one or more said present invention oscillator structures allows determination of dependent variable values given independent variable values, without requiring subtraction of relatively large numbers. In addition only a relatively small set of essentially uncorrelated present invention oscillator structure finite order polynomial term coefficient and finite magnitude discontinuity magnitude defining mathematical model coefficients are required. The present invention dielectric function model oscillator structure mathematical model allows user determinable degrees of freedom which allow essentially any plot of dielectric function dependent vs. independent variable data to be modeled with a high degree of mathematical model coefficients.

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