Abstract

Presented here is a modification in the adjustment for refractive-index nonlinear regression through a Sellmeier expansion. It is free of the deficiencies inherent in the earlier nonlinear method and notably improves the adjustment without excessively complicating the mathematical procedures. The method is applied to CdS with the object of comparing the results with those obtained previously. In this manner, the best adjustment has been found for CdS dispersion. It has also allowed a physical explanation of some adjustment parameters.

© 1985 Optical Society of America

Sellmeier fits with linear regression; multiple data sets; dispersion formulas for helium

Edson R. Peck
Appl. Opt. 22(18) 2906-2913 (1983)

Nonlinear regression analysis of a Sellmeier equation with various resonances: best fit of CdS dispersion

F. Vilches, J. M. Guerra, and M. Sanchez Gomez
Appl. Opt. 23(13) 2044-2045 (1984)

Nonlinear regression analysis for the Sellmeier dispersion equation of CdS

B. J. Pernick
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Improved nonlinear regression analysis for the single-resonance Sellmeier equation

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Simultaneous nonlinear regression analysis for n- and k-dispersion data

Benjamin J. Pernick
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