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Opt Lett. 2010 Jul 1;35(13):2239-41. doi: 10.1364/OL.35.002239.

Transport of intensity and spectrum for partially coherent fields.

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  • 1Department of Electrical and Computer Engineering, Medical Imaging Research Center, Illinois Institute of Technology, Chicago, Illinois 60616, USA.


Transport-of-intensity and transport-of-spectrum equations are derived using the coherent mode decomposition for paraxial fields having an arbitrary state of coherence. We give a simple example that demonstrates the difference between a partially coherent and a fully coherent transport of intensity or spectrum. The results presented here may be used to estimate the intensity response in a variety of phase-contrast imaging modalities and may form the basis for improved phase-retrieval techniques.

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