Abstract

We present a simple and robust method to simultaneously reconstruct two unknown interfering fields. First, the interference field (IF) is recovered from diffraction interference intensity recordings. The recovered IF along with a set of interference intensities generated by the phase shifting technique is used in an iterative phase retrieval algorithm to derive both the phase and amplitude information of the interfering fields. Numerical simulations are presented to validate the proposed method. In the simulation, we consider two arbitrary interfering fields with unrelated amplitudes and phases, creating a difficult problem where two complicated fields must be retrieved simultaneously. In addition, the phase of the second interfering field contains a vortex with a topological charge of 5. Under noise-free conditions, the relative errors of phases, defined as the root-mean-square (RMS) value of the residual phase divided by the RMS value of the original phase, for the first and second interfering fields are of the order of 105 and 106, respectively, where the relative error of amplitudes is of the order of 107. For 5% and 10% noise, the obtained relative error of phase is of the order of 102 for the first interfering field and 103 for the second interfering field, where the relative error of amplitudes is of the order of 102. These results show the success of the proposed method even under noisy conditions and in the presence of phase vortices.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Application of the speckle-based phase retrieval method in reconstructing two unknown interfering wavefronts

Roghayeh Yazdani and Hamid R. Fallah
Opt. Lett. 41(17) 4087-4090 (2016)

Reconstructing the phase distribution of two Interfering wavefronts by analysis of their nonlocalized fringes with an iterative method

Ehsan A. Akhlaghi, Ahmad Darudi, and M. Taghi Tavassoly
Opt. Express 19(17) 15976-15981 (2011)

Reconstruction of the point-spread function of the human eye from two double-pass retinal images by phase-retrieval algorithms

Ignacio Iglesias, Norberto López-Gil, and Pablo Artal
J. Opt. Soc. Am. A 15(2) 326-339 (1998)

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 (7)

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

Tables (1)

You do not have subscription access to this journal. Article tables 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 (3)

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