15 December 2010 Modelling of the space invariant optical systems with a spatially incoherent illumination
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Proceedings Volume 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 77460N (2010); doi: 10.1117/12.881768
Event: 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2010, Liptovsky Jan, Slovakia
Abstract
A study of imaging in an isoplanatic optical setup with a spatially incoherent illumination is presented. In such optical setups a light intensity distribution in an image plane can be calculated by a convolution of an input field with a Point Spread Function (PSF). Additionally a numerical simulation of incoherent monochromatic illumination is done by an integration of intensity images obtained with different random initial phase distributions (equivalent to a long exposure with a rotating diffuser in an optical setup). When an optical system is non space-invariant the point source image changes in various regions of the image plane and imaging simulation becomes complicated. Method with a simple convolution with PSF distribution cannot be applied because there is no one well defined PSF for the whole optical setup. This second method needs a bigger computational effort but can provide imaging modelling for both isoplanatic and non space invariant situations. In this contribution we compare the two mentioned methods in terms of imaging quality and its agreement with theoretical expectations. We give some statistical analysis of a contrast and noise level of the obtained pictures. We discuss the advantages and limitations of both modelling techniques for typical greyscale test patterns.
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Karol Kakarenko, Izabela Ducin, Michal Makowski, Agnieszka Siemion, Andrzej Siemion, Jaroslaw Suszek, Maciej Sypek, Dariusz Wojnowski, Andrzej Kolodziejczyk, "Modelling of the space invariant optical systems with a spatially incoherent illumination", Proc. SPIE 7746, 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 77460N (15 December 2010); doi: 10.1117/12.881768; https://doi.org/10.1117/12.881768
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KEYWORDS
Point spread functions

Convolution

Modeling

Fresnel lenses

Lens design

Imaging systems

Astronomical imaging

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