Twin-Image-Free Holography: A Compressive Sensing Approach

Wenhui Zhang, Liangcai Cao, David J. Brady, Hua Zhang, Ji Cang, Hao Zhang, Guofan Jin

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

Holographic reconstruction is troubled by the phase-conjugate wave front arising from Hermitian symmetry of the complex field. The so-called twin image obfuscates the reconstruction in solving the inverse problem. Here we quantitatively reveal how and how much the twin image affects the reconstruction and propose a compressive sensing (CS) approach to reconstruct a hologram completely free from the twin image. Using the canonical basis, the incoherence condition of CS is naturally satisfied by the Fourier transformation associated with wave propagation. With the propagation kernel function related to the distance, the object wave diffracts into a sharp pattern while the phase-conjugate wave diffracts into a diffuse pattern. An iterative algorithm using a total variation sparsity constraint could filter out the diffuse conjugated signal and overcome the inherent physical symmetry of holographic reconstruction. The feasibility is verified by simulation and experimental results, as well as a comparative study to an existing phase retrieval method.

Original languageEnglish (US)
Article number093902
JournalPhysical review letters
Volume121
Issue number9
DOIs
StatePublished - Aug 30 2018
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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