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Stochastic characterization of phase detection algorithms in phase-shifting interferometry.

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Summary

This summary is machine-generated.

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Phase-shifting interferometry (PSI) accurately profiles surfaces but is sensitive to stepping errors. This study introduces a method to evaluate PSI algorithm performance with random stepping errors, aiding optimal algorithm selection for surface profiling.

Area of Science:

Metrology
Optical Engineering
Surface Science

Background:

Phase-shifting interferometry (PSI) is a key non-contact technique for sub-nanometer surface profiling.
PSI relies on accurate stepping positions between interferogram acquisitions.
Stepping errors, both systematic and random, degrade profile accuracy.

Purpose of the Study:

To develop a unified procedure for characterizing PSI algorithm performance.
To quantify the impact of independent and identically distributed (i.i.d.) random stepping errors on PSI algorithms.
To guide the selection of optimal PSI algorithms for specific measurement conditions.

Main Methods:

Development of a quantitative procedure to assess algorithm behavior under random stepping errors.

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Analysis of algorithm performance considering both systematic and additional random error sources.

Comparative evaluation of different PSI algorithms based on the proposed characterization method.

Main Results:

A novel method is proposed for quantifying PSI algorithm performance in the presence of random stepping errors.
The procedure allows for a unified characterization, unlike previous error-specific approaches.
The method effectively predicts algorithm behavior and aids in selecting the most robust option.

Conclusions:

The suggested procedure provides a standardized way to evaluate PSI algorithms against random stepping errors.
This enables informed selection of the best algorithm for precise surface metrology.
Improved understanding of error propagation enhances the reliability of PSI measurements.