title: Orthonormal aberration polynomials for optical systems with circular and annular sector pupils.
abstract: Using the Zernike circle polynomials as the basis functions, we obtain the orthonormal polynomials for optical systems with circular and annular sector pupils by the Gram-Schmidt orthogonalization process. These polynomials represent balanced aberrations yielding minimum variance of the classical aberrations of rotationally symmetric systems. Use of the polynomials obtained is illustrated with numerical examples.
authors: Departamento de Óptica, Universidad de Granada, Granada, Spain.
authors: José Antonio
authors: JA
authors: Díaz
authors: Virendra N
authors: VN
authors: Mahajan