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Phase map retrieval in digital holography: avoiding the undersampling effect by a lateral shear approach.

P Ferraro¹, C Del Core, L Miccio

¹CNR-Istituto Nazionale di Ottica Applicata & Istituto di Cibernetica E. Caianiello, LENS European Laboratory for Non Linear Spectroscopy, Via Campi Flegrei 34, 80078 Pozzuoli (Napoli), Italy. pietro.ferraro@inoa.it

|August 3, 2007

Summary

Digital holography (DH) phase reconstruction can be undersampled. Digital lateral-shearing interferometry in DH accurately reconstructs phase maps, even for rapidly changing profiles, overcoming limitations of standard unwrapping procedures.

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Area of Science:

Optics and Photonics
Holography
Interferometry

Background:

Numerical reconstruction in digital holography (DH) yields wrapped phase maps.
Undersampling due to limited pixel size can prevent accurate phase retrieval using standard unwrapping methods.
Rapidly changing phase profiles pose significant challenges for conventional phase reconstruction.

Purpose of the Study:

To introduce and validate the digital lateral-shearing interferometry approach for phase reconstruction in DH.
To demonstrate the method's effectiveness in overcoming undersampling issues in phase maps.
To show accurate reconstruction of rapidly changing phase profiles, including highly curved surfaces.

Main Methods:

Application of digital lateral-shearing interferometry within the digital holography framework.
Numerical reconstruction of wavefronts to obtain phase maps.
Testing the method on a highly curved silicon microelectromechanical system (MEMS) membrane.

Main Results:

The digital lateral-shearing interferometry approach successfully reconstructs accurate phase maps in the image plane.
The method effectively addresses undersampling issues inherent in standard DH reconstructions.
Accurate phase reconstruction was achieved even for the complex, rapidly varying profile of a curved MEMS membrane.

Conclusions:

Digital lateral-shearing interferometry offers a robust solution for phase reconstruction in digital holography.
This technique overcomes limitations of traditional unwrapping methods when dealing with undersampled or rapidly changing phase data.
The approach is particularly valuable for analyzing micro-scale devices with complex surface topographies.