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Lensless coherent imaging by a deterministic phase retrieval method with an aperture-array filter.

Nobuharu Nakajima¹

¹Faculty of Engineering, Shizuoka University, 3-5-1 Johoku, Nakaku, Hamamatsu 432-8561, Japan. tsnnaka@ipc.shizuoka.ac.jp

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|March 4, 2008

Summary

This study enhances phase retrieval methods for reconstructing complex objects from diffraction patterns. The new technique works in Fresnel diffraction regions and reduces noise for more accurate object reconstruction.

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Area of Science:

Optics and Photonics
Image Reconstruction
Diffraction Physics

Background:

Previous noniterative analytic phase retrieval methods were limited by far-field conditions.
Reconstructing complex-valued objects from diffraction intensity patterns is crucial in various imaging applications.

Purpose of the Study:

To extend analytic phase retrieval to Fresnel diffraction regions.
To develop a noise-robust method for phase retrieval.
To improve the reconstruction of complex-valued objects.

Main Methods:

An improved analytic phase retrieval method using an aperture array filter.
Extension of distance adaptability to Fresnel diffraction conditions.
Utilizing phase information from multiple sampling data groups to reduce noise.

Main Results:

Successful reconstruction of complex-valued objects in Fresnel diffraction regions.
Demonstrated noise reduction in phase retrieval using multiple data groups.
Validated method with computer-simulated reconstructions, including objects with phase vortices.

Conclusions:

The proposed method overcomes the far-field limitations of previous techniques.
The noise reduction procedure enhances the reliability of phase retrieval.
This advancement enables more versatile and accurate object reconstruction from diffraction data.