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Sub-Nyquist null aspheric testing using a computer-stored compensator.

M Servin, D Malacara, Z Malacara

|October 12, 2010

Summary

This summary is machine-generated.

A new computer-based method effectively demodulates undersampled interferograms by correlating stored wavefront data with captured interferograms. This technique accurately determines phase maps and is robust against noise for optical testing.

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Area of Science:

Optical Metrology
Wavefront Sensing
Interferometry

Background:

Undersampled interferograms present challenges in optical testing due to insufficient data points.
Accurate phase retrieval is crucial for characterizing optical components like aspheres.
Traditional demodulation methods can be sensitive to noise and require high sampling rates.

Purpose of the Study:

To introduce a novel method for demodulating undersampled interferograms.
To develop a noise-resilient technique for phase map determination in optical metrology.
To enable accurate characterization of optical surfaces using limited interferogram data.

Main Methods:

Correlation of computer-stored wavefront sine and cosine with the captured interferogram.
Utilizing two correlation images to compute the phase map.
Employing prior knowledge of the wavefront under test (within a few wavelengths of error).

Main Results:

Successful demodulation of undersampled interferograms.
Accurate phase difference estimation between software compensator and frame-grabbed interferogram.
Demonstrated robustness against noise due to the correlation-based approach.

Conclusions:

The proposed computer-stored undersampled compensator method effectively demodulates interferograms.
The technique provides accurate phase mapping even with limited prior wavefront knowledge.
This method offers a reliable and noise-resistant solution for optical testing applications.