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

N Nakajima, B E Saleh

|November 2, 2010

Summary

This study presents a robust method for reconstructing complex-valued objects using two intensity measurements and a Gaussian-filtered illumination beam. The technique effectively overcomes distortions caused by random-phase screens, enhancing imaging capabilities.

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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.