Direct phase retrieval in double blind Fourier holography

Area of Science:

• Optics and Photonics
• Computational Imaging
• Scientific Instrumentation

Background:

• Phase measurement is critical across diverse scientific fields, including X-ray imaging, astrophysics, and spectroscopy.
• Current phase retrieval methods often rely on interferometry or iterative numerical optimization, which can suffer from convergence and noise issues.
• A unified approach addressing the limitations of existing phase measurement techniques is needed.

Purpose of the Study:

• To present a novel, efficient, and robust method for solving the two-dimensional phase problem.
• To combine the strengths of interferometric measurements and numerical reconstruction techniques.
• To demonstrate the practical applicability of the proposed method in lens-less imaging.

Main Methods:

• Development of a new scheme termed double blind Fourier holography.
• Formulation of the phase problem as a system of linear equations.
• Experimental validation of the method using lens-less imaging setups.

Main Results:

• The proposed double blind Fourier holography efficiently solves the 2D phase problem by leveraging linear equations.
• The method demonstrates robustness and overcomes limitations associated with traditional iterative algorithms.
• Successful experimental demonstration in lens-less imaging confirms the practical utility of the approach.

Conclusions:

• Double blind Fourier holography offers a significant advancement in phase measurement techniques.
• This method provides an efficient and robust solution for the phase problem in 2D applications.
• The technique has broad implications for various scientific and technological fields requiring accurate phase information.