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Error metrics for partially coherent wave fields

Abstract

Lensless imaging methods that account for partial coherence have become very common in the past decade. However, there are no metrics in use for comparing partially coherent light fields, despite the widespread use of such metrics to compare fully coherent objects and wave fields. Here, we show how reformulating the mean squared error and Fourier ring correlation in terms of quantum state fidelity naturally generalizes them to partially coherent wave fields. These results fill an important gap in the lensless imaging literature and will enable quantitative assessments of the reliability and resolution of reconstructed partially coherent wave fields.

© 2022 Optica Publishing Group

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Supplementary Material (1)

NameDescription
Supplement 1       Additional derivations and exploration of mode number dependence

Data availability

Data underlying the results presented in this paper are available in Ref. [5]. A Python implementation of the $\mathrm{PCMSE}$ P C M S E and $\mathrm{PCFRC}$ P C F R C  is available in  Ref. [24].

5. Z. Chen, M. Odstrcil, Y. Jiang, Y. Han, M.-H. Chiu, L.-J. Li, and D. A. Muller, Nat. Commun. 11, 2994 (2020). [CrossRef]  

24. A. Levitan, “Function Implementations for: Error metrics for partially coherent wavefields,” Harvard Dataverse (2022), https://doi.org/10.7910/DVN/CUTW1U.

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Equations (13)

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