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Zernike polynomials as a basis for wave-front fitting in lateral shearing interferometry.

|May 1, 1997

Summary

A novel method efficiently handles Zernike polynomials, enabling their use in shearography systems for wave-front fitting. This approach details polynomial calculation and computer memory representation.

Area of Science:

Optics and Photonics
Computational Science

Background:

Zernike polynomials are crucial for describing optical aberrations.
Efficient computation is needed for real-time optical system analysis.

Purpose of the Study:

To introduce an efficient computational method for Zernike polynomials.
To enable the application of Zernike polynomials in shearography wave-front fitting.

Main Methods:

Development of a new algorithm for Zernike polynomial computation.
Implementation of the method within a C++ class structure.
Integration into shearography systems for wave-front analysis.

Main Results:

Demonstrated efficiency of the new Zernike polynomial handling method.

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Successful application as a basis for wave-front fitting in shearography.

Provided a C++ code excerpt for practical implementation.

Conclusions:

The presented method offers an efficient way to compute and utilize Zernike polynomials.
This facilitates advanced wave-front analysis in shearography.
The C++ implementation aids practical adoption in optical metrology.