Reconstruction of a complex-valued object in double-passage coherent imaging through a random-phase screen

Area of Science:

• Optics and Photonics
• Image Reconstruction
• Wave Propagation

Background:

• Reconstructing complex-valued objects is challenging due to phase distortions.
• Random-phase screens significantly degrade image quality in coherent imaging systems.
• Gaussian illumination and exponential filtering offer potential solutions for phase distortion mitigation.

Purpose of the Study:

• To develop and validate a robust method for complex-valued object reconstruction.
• To investigate the effectiveness of using two intensity measurements for phase retrieval.
• To analyze the impact of Gaussian illumination and random-phase screens on reconstruction fidelity.

Main Methods:

• Object reconstruction using two intensity measurements of the Fourier transform.
• Employing an exponential filter to modulate the image before the second measurement.
• Simulating the process with a complex object, Gaussian illumination, and a Gaussian random-phase screen.

Main Results:

• The proposed method successfully reconstructs complex-valued objects.
• Reconstruction demonstrates robustness against aberrations introduced by the random-phase screen.
• Computer simulations confirm the efficacy of the two-intensity measurement approach.

Conclusions:

• The developed technique provides a reliable way to reconstruct complex objects.
• The method is resilient to phase distortions from random-phase screens.
• This approach advances coherent imaging and object reconstruction techniques.