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

N Nakajima, B E Saleh

|September 24, 2010

Summary

This study presents a robust method for reconstructing complex-valued objects viewed through random-phase screens using two intensity measurements. The technique effectively retrieves object phase information, overcoming limitations of single measurements.

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Area of Science:

Optics
Image Reconstruction
Phase Retrieval

Background:

Coherent imaging through random-phase screens presents significant challenges for object reconstruction.
Traditional phase retrieval methods often struggle with noise and inherent ambiguities.

Purpose of the Study:

To develop and validate a novel phase retrieval method for complex-valued object reconstruction.
To assess the impact of noise and random-phase screen characteristics on reconstruction accuracy.

Main Methods:

Utilizing two intensity measurements of the object's Fourier transform.
Employing exponential modulation of the image field to introduce phase dependence in the second measurement.
Computer simulations to evaluate reconstruction robustness and error sources.

Main Results:

The proposed method successfully reconstructs complex-valued objects, with a minor ambiguity of displacement.
Reconstruction accuracy is robust against noise from finite exposure times and quantum effects.
Reconstruction error correlates with the variance and correlation length of the random-phase screen.

Conclusions:

The two-measurement phase retrieval technique offers a viable solution for imaging through random-phase screens.
Understanding the influence of noise and screen properties is crucial for optimizing reconstruction fidelity.
The method demonstrates practical applicability in scenarios requiring complex object imaging.