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Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

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Through-focus phase retrieval and its connection to the spatial correlation for propagating fields.

O El Gawhary¹, A Wiegmann, N Kumar

¹Optics Research Group, Delft University of Technology, PO Box 5046, 2600 GA Delft, The Netherlands. o.elgawhary@tudelft.nl

|March 14, 2013

Summary

This study identifies optimal measurement planes for through-focus phase retrieval using spatial correlation. It explains why using two Fourier-conjugated planes effectively reconstructs optical field phase.

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Area of Science:

Optics and Photonics
Wavefront Sensing and Metrology

Background:

Through-focus phase retrieval is crucial for characterizing optical fields.
Accurate phase information is essential for aberration correction and optical system performance.

Purpose of the Study:

To determine suitable measurement planes for phase retrieval using spatial correlation.
To elucidate the effectiveness of phase retrieval from Fourier-conjugated planes.

Main Methods:

Analysis of spatial correlation for propagating optical fields.
Investigation of complex amplitude and intensity distributions across focal planes.

Main Results:

Identification of specific planes optimal for phase retrieval based on spatial correlation.
Explanation of the robust phase reconstruction achieved using two Fourier-conjugated planes.

Conclusions:

Spatial correlation provides a criterion for selecting effective measurement planes in phase retrieval.
Understanding these principles enhances aberration characterization, adaptive optics, and wavefront metrology.