title: Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration.
abstract: In this research, Zernike polynomials for a unit annular elliptical aperture (ellipse inscribed by a unit circle of unit radius obscured by elliptical obscuration) have been studied in Cartesian coordinates and in polar coordinates. These polynomials have been shown to form a complete basis orthogonal on a unit annular ellipse aperture, and they represent balanced classical aberrations just as Zernike circular polynomials in a unit circle.
authors.affiliation: Physics Department, Education College for Girls, Kufa University, Najaf 54001, Iraq. sunds2004@yahoo.com
authors.forename: Sundus Y
authors.initials: SY
authors.lastname: Hasan
authors.forename: Ali S
authors.initials: AS
authors.lastname: Shaker