Providing a visual understanding of holography through phase space representations

Tobias Birnbaum , Tomasz Kozacki , Peter Schelkens Vrije Univ. of Brussel


Digital holograms are a prime example for signals, which are best understood in phase space-the joint space of spatial coordinates and spatial frequencies. Many characteristics, as well as optical operations can be visualized therein with so called phase space representations (PSRs). However, literature relies often only on symbolic PSRs or on, in practice, visually insufficient PSRs like theWigner-Ville representation. In this tutorial-style paper, we will showcase the S-method, which is both a PSR that can be calculated directly from any given signal, and that allows for a clear visual interpretation. Wewill highlight the power of space-frequency analysis in digital holography, explainwhy this specific PSR is recommended, discuss a broad range of basic operations, and briefly overview several interesting practical questions in digital holography.
Author Tobias Birnbaum - Department of Electronics and Informatics (ETRO) [Vrije University Brussel]
Tobias Birnbaum,,
, Tomasz Kozacki (FM / IMPh)
Tomasz Kozacki,,
- The Institute of Micromechanics and Photonics
, Peter Schelkens Vrije Univ. of Brussel
Peter Schelkens Vrije Univ. of Brussel,,
Journal seriesApplied Sciences-Basel, [Applied Sciences (Switzerland)], ISSN 2076-3417
Issue year2020
Article number4766
Keywords in EnglishDigital holography, Phase space representation, S-method, Spectrogram, Time-frequency representation, Wigner-Ville
ASJC Classification1507 Fluid Flow and Transfer Processes; 1508 Process Chemistry and Technology; 1706 Computer Science Applications; 2200 General Engineering; 2500 General Materials Science; 3105 Instrumentation
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); after publication
WUTa144d51f0b844a76beb1d6f9a91e92c8.pdf 31.85 MB
Score (nominal)70
Score sourcejournalList
ScoreMinisterial score = 70.0, 05-08-2020, ArticleFromJournal
Publication indicators Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.985; WoS Impact Factor: 2018 = 2.217 (2) - 2018=2.287 (5)
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