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Related Experiment Video

Updated: May 16, 2026

Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments

Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments

Published on: February 27, 2013

Two-quadrant area structure function analysis for optical surface characterization.

Liangyu He¹, Chris J Evans, Angela Davies

¹Department of Mechanical Engineering and Engineering Science, UNC Charlotte, 9201 University City Blvd., Charlotte, North Carolina 28223, USA. liangyu.he@gmail.com

|November 29, 2012

Summary

This summary is machine-generated.

This study introduces the two-quadrant area structure function (SF) for characterizing optical surfaces, especially those with asymmetries. This advanced method offers a more complete description than traditional techniques for non-stationary surfaces.

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Area of Science:

Optical engineering
Surface metrology
Data analysis

Background:

Characterizing optical surfaces is crucial for performance.
Traditional methods like power spectral density (PSD) and autocorrelation function (ACF) have limitations for non-stationary surfaces.
Existing area structure function (SF) methods may not fully capture surface asymmetries.

Purpose of the Study:

To introduce and validate a two-quadrant area structure function (SF) for comprehensive optical surface characterization.
To address the limitations of one-quadrant SF and traditional methods for asymmetric and non-stationary surfaces.
To compare the efficacy of the two-quadrant area SF with established techniques.

Main Methods:

Development of a two-quadrant area structure function (SF) algorithm.
Application of the area SF to simulated optical surface data.
Analysis of a diamond-turned optical surface using the area SF.
Comparison of area SF results with area power spectral density (PSD) and area autocorrelation function (ACF) analyses.

Main Results:

The two-quadrant area SF provides a more complete description of optical surfaces, particularly those with asymmetries.
Calculations using simulation data demonstrate the area SF's capability.
Analysis of a diamond-turned surface highlights the area SF's effectiveness compared to PSD and ACF.
The study confirms that the direct relationship between SF, PSD, and ACF is not applicable to non-stationary optical surfaces.

Conclusions:

The two-quadrant area structure function (SF) is a superior method for specifying and characterizing optical surfaces, especially those exhibiting asymmetries.
This advanced SF approach overcomes limitations of existing methods for non-stationary surfaces common in optical applications.
The findings advocate for the adoption of the two-quadrant area SF in optical metrology and surface analysis.