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Iterative Kramers-Kronig method for non-interferometric quantitative phase imaging: beyond the first-order Born and

Qian Shen, Jiasong Sun, Shun Zhou

|February 14, 2025

Summary

This summary is machine-generated.

A novel iterative Kramers-Kronig (KK) quantitative phase imaging (QPI) method, iKK-QPI, accurately measures large-phase samples. This non-interferometric approach overcomes limitations of traditional QPI, enabling detailed imaging of biological and industrial specimens.

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Area of Science:

Optics and Photonics
Biomedical Imaging
Materials Science

Background:

Traditional non-interferometric quantitative phase imaging (QPI) struggles with rapid and accurate imaging of large-phase samples.
Existing methods are limited by slow convergence and reliance on object approximation models, restricting their application range.

Purpose of the Study:

To introduce a novel non-interferometric QPI method, iterative Kramers-Kronig QPI (iKK-QPI), for high-accuracy quantitative measurement of large-phase objects.
To overcome the limitations of weak scattering conditions and expand the phase range retrievable by non-interferometric QPI.

Main Methods:

Developed iKK-QPI by imposing real-part constraints on the cepstrum within the KK relations reconstruction framework.
Utilized iterative processing to enhance phase retrieval accuracy and extend the measurable phase range.

Main Results:

iKK-QPI successfully reconstructed objects with large phase ranges up to 6 radians with less than ±5% error.
The method demonstrated significantly improved performance compared to existing KK relations-based methods, achieving three times the phase range capability.
Imaging results for a microlens array and COS-7 cells validated the method's effectiveness.

Conclusions:

iKK-QPI offers a powerful non-interferometric solution for accurate phase imaging of samples with large phase variations.
This advancement extends the applicability of QPI to diverse biological and industrial applications previously inaccessible due to phase limitations.