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Refractive index determination using an orthogonalized dispersion equation.

C K Carniglia, K N Schrader, P A O'Connell

|June 18, 2010

Summary

A new orthogonal dispersion equation accelerates refractive index determination for optical materials. This method significantly speeds up calculations for thin film analysis using spectral data.

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Area of Science:

Optical Materials Science
Spectroscopy
Thin Film Analysis

Background:

Accurate determination of the refractive index of optical materials is crucial for various applications.
Traditional dispersion equations can be computationally intensive, especially when analyzing spectral data.
Ellipsometry is a powerful technique for characterizing thin films, but data reduction can be complex.

Purpose of the Study:

To present an orthogonal form of a general three-term dispersion equation.
To demonstrate its utility in determining the refractive index of transparent optical materials from spectral data.
To apply the technique for analyzing ellipsometric measurements of thin films.

Main Methods:

Developed an orthogonal basis set for a three-term dispersion equation, adaptable to data spectral range and spacing (wavelength or wavenumber).

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Applied the orthogonal dispersion equation to fit Conrady dispersion equation data.

Utilized the method for reducing ellipsometric measurements of a zirconia thin film on a fused silica substrate.

Main Results:

The orthogonal form of the dispersion equation demonstrated significantly faster convergence to solutions compared to the standard form.
The technique was successfully applied to analyze thin film ellipsometric data.
The convergence rate was observed to be an order of magnitude faster.

Conclusions:

The orthogonal dispersion equation offers a computationally efficient approach for refractive index determination.
This method enhances the speed and accuracy of analyzing spectral data, particularly for thin film characterization.
The developed technique provides a valuable tool for optical materials research and thin film metrology.