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Influence of Partially Spatially Coherent Illumination on the Measurement of Two‐dimensional Correlation Function
Author(s) -
Fujiwara H.,
Murata K.
Publication year - 1971
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19714810404
Subject(s) - coherence (philosophical gambling strategy) , optics , correlation function (quantum field theory) , physics , intensity (physics) , spatial filter , filter (signal processing) , correlation , holography , spatial coherence , function (biology) , degree of coherence , coherence theory , plane (geometry) , coherence length , computer science , mathematics , computer vision , quantum mechanics , geometry , superconductivity , evolutionary biology , dielectric , biology
A coherent optical filtering is often applied to the measurement of correlation function of two‐dimensional patterns. The present report treats the influence of spatial coherence on such an optical filtering. A general formula for optical filtering with partially spatially coherent illumination is obtained. The intensity distribution of correlation in the output image plane for several special cases is calculated, where different kinds of coherence conditions of illumination in the process of holographic recording of a filter, or of filtering are assumed. An experiment is performed to verify the theory.