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Multi-derivative method for phase extraction without knowing carrier frequencies in off-axis quantitative phase

Zhi Zhong, Diyao Song, Lei Liu

|December 1, 2023

Summary

A new multi-derivative method reconstructs transparent object phase in quantitative phase imaging (QPI). This technique simplifies alignment and speeds up phase retrieval for high-quality imaging without prior knowledge.

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Area of Science:

Optical Imaging
Phase Contrast Microscopy
Biophysics

Background:

Quantitative Phase Imaging (QPI) is crucial for label-free visualization of transparent specimens.
Existing QPI methods often require complex procedures like Fourier transforms or prior knowledge of system parameters.
Derivative-based methods offer an alternative but can be sensitive to noise and require careful implementation.

Purpose of the Study:

To develop a simplified and robust multi-derivative method for phase reconstruction in off-axis QPI.
To eliminate the need for carrier frequency estimation or Fourier transforms in phase retrieval.
To enhance the speed and quality of phase reconstruction compared to existing methods.

Main Methods:

Numerical computation of first-, second-, and third-order derivatives of interferograms.
Direct phase extraction from interferometric data without Fourier analysis.
Validation using white-light diffraction phase microscopy and laser off-axis QPI.

Main Results:

Successful quantitative phase reconstruction without prior knowledge of carrier frequencies.
Streamlined alignment and retrieval processes compared to advanced derivative methods.
Significantly accelerated phase retrieval speed compared to Fourier-division methods.
Achieved high-quality phase retrieval at frame rates up to 41.6 fps for 1-megapixel interferograms on a standard computer.

Conclusions:

The proposed multi-derivative method provides a fast, high-quality, and straightforward approach for phase reconstruction in off-axis QPI.
This technique simplifies the experimental setup and data processing requirements for QPI.
The method demonstrates broad applicability across different QPI modalities and is suitable for real-time imaging applications.