Gaia Optical Aberrations Described by Means of Orthogonal Polynomials

Details Gaia Optical Aberrations Described by Means of Orthogonal Polynomials Gaia Optical Aberrations Described by Means of Orthogonal Polynomials

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005esasp.576..437g&link_type=abstract

"Proceedings of the Gaia Symposium "The Three-Dimensional Universe with Gaia" (ESA SP-576). Held at the Observatoire de Paris-Me

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Gaia, Wavefront Analysis, Orthogonal Polynomials, Pupil Apodisation

Scientific paper

We present a method to describe the wavefront aberration distribution generated by a rectangular aperture with polynomial representations different from the usual Zernike one. While Zernike polynomials can still be used for wavefront decomposition over pupil shapes other than circular, in this case they form a basis that is no longer orthogonal. We compare the Zernike description with two new bases that are orthogonal over rectangular apertures, obtained with different approaches: the Gram-Schmidt orthogonalisation and the extension at two dimensions of the Legendre polynomials.

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