Direct phase retrieval in double blind Fourier holography

Oren Raz, Ben Leshem, Jianwei Miao, Boaz Nadler, Dan Oron, Nirit Dudovich

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Phase measurement is a long-standing challenge in a wide range of applications, from X-ray imaging to astrophysics and spectroscopy. While in some scenarios the phase is resolved by an interferometric measurement, in others it is reconstructed via numerical optimization, based on some a-priori knowledge about the signal. The latter commonly use iterative algorithms, and thus have to deal with their convergence, stagnation, and robustness to noise. Here we combine these two approaches and present a new scheme, termed double blind Fourier holography, providing an efficient solution to the phase problem in two dimensions, by solving a system of linear equations. We present and experimentally demonstrate our approach for the case of lens-less imaging.

Original languageEnglish
Pages (from-to)24935-24950
Number of pages16
JournalOptics Express
Volume22
Issue number21
DOIs
Publication statusPublished - Oct 20 2014

Fingerprint

Holography
holography
Lenses
retrieval
Noise
Spectrum Analysis
X-Rays
linear equations
astrophysics
lenses
optimization
spectroscopy
x rays

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Medicine(all)

Cite this

Raz, O., Leshem, B., Miao, J., Nadler, B., Oron, D., & Dudovich, N. (2014). Direct phase retrieval in double blind Fourier holography. Optics Express, 22(21), 24935-24950. https://doi.org/10.1364/OE.22.024935

Direct phase retrieval in double blind Fourier holography. / Raz, Oren; Leshem, Ben; Miao, Jianwei; Nadler, Boaz; Oron, Dan; Dudovich, Nirit.

In: Optics Express, Vol. 22, No. 21, 20.10.2014, p. 24935-24950.

Research output: Contribution to journalArticle

Raz, O, Leshem, B, Miao, J, Nadler, B, Oron, D & Dudovich, N 2014, 'Direct phase retrieval in double blind Fourier holography', Optics Express, vol. 22, no. 21, pp. 24935-24950. https://doi.org/10.1364/OE.22.024935
Raz O, Leshem B, Miao J, Nadler B, Oron D, Dudovich N. Direct phase retrieval in double blind Fourier holography. Optics Express. 2014 Oct 20;22(21):24935-24950. https://doi.org/10.1364/OE.22.024935
Raz, Oren ; Leshem, Ben ; Miao, Jianwei ; Nadler, Boaz ; Oron, Dan ; Dudovich, Nirit. / Direct phase retrieval in double blind Fourier holography. In: Optics Express. 2014 ; Vol. 22, No. 21. pp. 24935-24950.
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