Recording of incoherent vector holograms using elements of the spatial cross-spectral density matrix

Akanksha Gautam, Athira T.S, Dinesh N. Naik, Rajeev Singh, C. S. Narayanamurthy, Rakesh Kumar Singh

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We present an approach to record incoherent vector holograms using a highly stable field-based interferometer employing radial shearing. The vector holograms are recorded as the elements of the 2 × 2 cross-spectral density (CSD) matrix and reconstruction of the object encoded into these holograms is demonstrated by digitally propagating the elements of the CSD matrix. The CSD matrix contains its elements in the form of a complex spatial coherence function and is connected with an incoherent vector source by the vectorial van Cittert-Zernike theorem. The experimental measurement of the two-dimensional distributions of the complex elements of the CSD matrix is realized by a Sagnac radial shearing interferometer with a phase-shifting approach. The five-step phase-shifting technique is used to measure the fringe visibility and corresponding phase which give the complex elements of the CSD matrix. Recording of incoherent vector holograms is demonstrated from the experimentally recovered elements of the CSD matrix and results are presented for two different incoherent sources, namely polarized and unpolarized. The complex nature of the CSD matrix elements helps in the digital reconstruction and focusing of the incoherent source.

Original languageEnglish
Article number107687
JournalOptics and Lasers in Engineering
Volume169
DOIs
StatePublished - Oct 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023

Funding

This work is supported by the Science and Engineering Research Board (SERB) India- CORE/2019/000026 , Department of Biotechnology (DBT) India- Grant No. BT/PR35587/MED/32/707/2019 and Board of Research in Nuclear Sciences (BRNS) India- Grant No. 58/14/04/2021-BRNS/37092). Akanksha Gautam would like to acknowledge DST-INSPIRE (Grant No. – IF180930).

FundersFunder number
Department of Biotechnology, Ministry of Science and Technology, IndiaBT/PR35587/MED/32/707/2019
Department of Science and Technology, Ministry of Science and Technology, IndiaIF180930
Science and Engineering Research BoardCORE/2019/000026
Board of Research in Nuclear Sciences58/14/04/2021-BRNS/37092

    Keywords

    • Coherence
    • Holography
    • Interferometry
    • Phase-shifting
    • Polarization

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