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Numerical experiment of the Shannon entropy in partially coherent imaging by Koehler illumination to show the relationship to degree of coherence.

作者信息

Yamazoe Kenji, Neureuther Andrew R

机构信息

Department of Electrical Engineering and Computer Science, University of California, Berkeley, California 94720-1770, USA.

出版信息

J Opt Soc Am A Opt Image Sci Vis. 2011 Mar 1;28(3):448-54. doi: 10.1364/JOSAA.28.000448.

DOI:10.1364/JOSAA.28.000448
PMID:21383828
Abstract

This paper describes the Shannon entropy in a partially coherent imaging system with Koehler illumination. Numerical simulation shows that the entropy has a one-to-one relationship with the normalized mutual intensity given by the van Cittert-Zernike theorem. Analytical evaluation shows that the entropy is consistent with the definition of coherence and incoherence, which is also verified by numerical simulations. Additional numerical experiments confirm that the entropy depends on the source intensity distribution, polarization state of the source, object, and pupil. Therefore, the entropy quantitatively measures the degree of coherence of the partially coherent imaging system.

摘要

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