Orthonormal Vector Polynomials in a Unit Annular Pupil | ||
| Almuthanna Journal of Pure Science (MJPS) | ||
| Article 1, Volume 2, Issue 1, December 2014, Pages 0-0 | ||
| Authors | ||
| and Thill A. Kadhum; Sundus Y. Hasan | ||
| Abstract | ||
| A set of orthonormal polynomials, which represent scalar functions, are given in this paper that represent balanced basis over an area of annular pupil. These functions are used to represent the aberration of imaging systems with annular pupils. Another orthonormal set of polynomials related to those, which represent vector quantities, can be generated from the gradients of annular Zernike polynomials (ZP), and the orthogonality is made by MATLAB code for Gram Schmidt orthogonalization method (GSOM). A relation of these polynomials to the circular ZP and circular ZP gradients are represented also in this work. | ||
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