Method For Calculating Diffraction Effects In Opto-Mechanical Systems Of Arbitrary Geometry

Alan W Greynolds

doi:10.1117/12.959602

Abstract

A method that substantially reduces the computational effort required to determine diffraction (including wide-angle and near-field) from arbitrary apertures or obstacles is presented. The theoretical process involves rigorously transforming the two-dimensional Kirchoff diffraction integral over the area of the aperture into a one-dimensional integral along the edge of the aperture. The resulting integral is then approximated by the first two terms of an asymptotic expansion given by the method of stationary phase. Diffraction pattern predictions based on this method are compared with those of more conventional methods, e.g. Fourier techniques, for several different geometries. An algorithm derived from the theory has been incorporated into a computer program called PADE (Program for the Analysis of Diffracted Energy) which together with the APART stray radiation analysis program can be used to not only determine multiple diffraction effects but also combinations of both scattering and diffraction in complex opto-mechanical systems. An extension of the algorithm to apertures with serrated-edge or thin-film apodisation is also discussed.

Citation Download Citation

Alan W Greynolds, Alan W Greynolds, } "Method For Calculating Diffraction Effects In Opto-Mechanical Systems Of Arbitrary Geometry", Proc. SPIE 0257, Radiation Scattering in Optical Systems, (3 March 1981); doi: 10.1117/12.959602; https://doi.org/10.1117/12.959602

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