Abstract
In this paper a numerical algorithm for calculation of the point spread function from the complex light amplitude known on the output pupil of the imaging system is described. The first step of this algorithm includes a global polynomial approximation of the input data given in a number of points distributed arbitrarily over the entire output pupil. In the next step the numerical calculation of the diffraction integral is performed. After transition to polar coordinates and dividing the region of integration into a number of infinitesimal subregions of square shape the exponent in the integrand is approximated locally by a polynomial and then the whole integrand is approximated by a polynomial multiplied by the exponential function with linear exponent. Finally the respective integration is performed analytically. The analysis of the accuracy obtained as well as the results of exemplary calculations prove that the described algorithm is very useful in the analysis of image quality of such imaging elements as hybrid (diffractive–refractive) lenses.
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