Method of "truss" approximation in wavefront testing

Il'ya P. Agurok

doi:10.1117/12.369204

11 November 1999 Method of "truss" approximation in wavefront testing

Il'ya P. Agurok

Proceedings Volume 3782, Optical Manufacturing and Testing III; (1999) https://doi.org/10.1117/12.369204
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

The smooth continuous wavefront deformation function (WDF) can be expanded into Zernike polynomials. The coefficients of polynomial expansion for Fizeau or Twyman-Green interferometry can be found with ease by applying the least-square approximation. In the Hartmann test, shearing interferometry methods, or the Ritchey-Common test, coefficients can be found by using the least-square approximation as well. In these cases, the measuring data is a result from applying a linear operator to the WDF (which is the differentiation operator in the Hartmann test). By applying this operator to Zernike polynomials, new polynomials can be found for the test data. The coefficients of test data expansion and WDF expansion are equal. As in lateral shearing interferometry, the data from several test pictures can be approximated in one step of the 'truss' approximation.

Citation Download Citation

Il'ya P. Agurok "Method of "truss" approximation in wavefront testing", Proc. SPIE 3782, Optical Manufacturing and Testing III, (11 November 1999); https://doi.org/10.1117/12.369204

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