Nijboer–Zernike’s aberration theory: computational achievements via Tchebychev’s polynomials approximation theory

Abstract

Nijboer–Zernike’s diffraction theory of aberration is a nearly abandoned jewel of physical optics. The present paper constitutes an attempt to extend its practical feasibility. It is found that such a task can be achieved by using what is probably the most important property of  Tchebychev’s polynomials.