Wavefront Analysis for Annular Ellipse Aperture

Abstract

The orthonormal annular ellipse Zernike polynomials are important for wavefront analysis of annular ellipse aperture (elliptical aperture with an elliptical obscuration) for their property of orthgonalization over such aperture and representing balanced aberration. In this paper, the relationship between the Zernike annular ellipse   polynomials and third order Siedel aberrations were studied. Then the standard deviations of balanced and unbalanced primary aberrations have been calculated for this aperture.

Keywords: Zernike polynomials, annular ellipse aperture, aberration, standard deviation