Abstract

Phase objects can be characterized using well-known methods such as shear interferometry and deflectometry, which provide information on the partial derivatives of the phase. It is often believed that for phase retrieval it is strictly necessary to have knowledge of two partial derivatives in orthogonal directions. In the praxis, this implies that the measurements have to be performed along two dimensions, which often requires a rotation of the object or rotation of the shear direction. This is time consuming and errors can be easily generated from the process of rotation, especially for image registration in the axial direction. In the present Letter, we will demonstrate that only one partial derivative often suffices to recover the phase, and we will discuss under which conditions that is possible. Simulations and validation experiments are presented.

© 2013 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
One-frame two-dimensional deflectometry for phase retrieval by addition of orthogonal fringe patterns

Jorge L. Flores, Beethoven Bravo-Medina, and José A. Ferrari
Appl. Opt. 52(26) 6537-6542 (2013)

Phase retrieval from one single phase contrast x-ray image

Xizeng Wu and Aimin Yan
Opt. Express 17(13) 11187-11196 (2009)

Enhanced deterministic phase retrieval using a partially developed speckle field

Percival F. Almoro, Laura Waller, Mostafa Agour, Claas Falldorf, Giancarlo Pedrini, Wolfgang Osten, and Steen G. Hanson
Opt. Lett. 37(11) 2088-2090 (2012)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription