Quantitative phase retrieval of a complex-valued object using variable function orders in the fractional Fourier...

Area of Science:

• Optics and Photonics
• Image Reconstruction
• Wavefront Engineering

Background:

• Quantitative phase imaging is crucial for analyzing complex-valued objects.
• Diffraction-based imaging methods often face challenges in retrieving both amplitude and phase information.
• Fractional Fourier transform (FrFT) offers a versatile domain for signal analysis and manipulation.

Purpose of the Study:

• To develop a novel and effective method for quantitatively recovering complex-valued objects.
• To utilize diffraction intensity maps recorded in the fractional Fourier domain for object reconstruction.
• To propose a new phase retrieval algorithm tailored for this specific imaging modality.

Main Methods:

• Introducing wavefront modulation in the wave path.
• Recording multiple diffraction intensity maps with varying fractional Fourier transform orders.
• Developing and applying a new phase retrieval algorithm.

Main Results:

• Successfully demonstrated the feasibility and effectiveness of the proposed method through a proof-of-principle study.
• Quantitative recovery of complex-valued objects from recorded diffraction intensity maps.
• Validation of the proposed phase retrieval algorithm's performance.

Conclusions:

• The proposed method provides a viable approach for quantitative object recovery in the fractional Fourier domain.
• The novel phase retrieval algorithm enhances the accuracy and effectiveness of reconstruction.
• This technique holds potential for various applications in optics and imaging.