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dc.contributor.authorEl Guendy, MDV
dc.contributor.authorMouthaan, Ralf
dc.contributor.authorWetherfield, B
dc.contributor.authorKadis, A
dc.contributor.authorChristopher, PJ
dc.contributor.authorKaczorowski, A
dc.contributor.authorWilkinson, Timothy
dc.date.accessioned2021-09-23T23:30:53Z
dc.date.available2021-09-23T23:30:53Z
dc.date.issued2021-10
dc.identifier.issn0091-3286
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/328464
dc.description.abstractThe Kaczmarz algorithm is an iterative method for solving linear equations in the form of Ax = b. It is widely used in computed tomography (CT) and digital signal processing (DSP) but has yet to be adopted in computer-generated holography (CGH). Phase retrieval algorithms such as Gerchberg-Saxton or Fienup are significantly more popular in this field, however, in this paper we propose a unique and alternative approach to projecting a replay field through Discrete Fourier Transform (DFT) matrices and have shown that there are legitimate benefits to implementing this approach. The gradient descent iteration mechanism adopted by Kaczmarz, for instance, provides finer granularity control over the individual pixels in the replay field. We consequently demonstrate the quality of the image is significantly improved when compared to Gerchberg-Saxton.
dc.publisherSPIE-Intl Soc Optical Eng
dc.rightsAll rights reserved
dc.titleKaczmarz holography: Holographic projection in the Fraunhofer region
dc.typeArticle
prism.issueIdentifier10
prism.publicationDate2021
prism.publicationNameOptical Engineering
prism.volume60
dc.identifier.doi10.17863/CAM.75912
dcterms.dateAccepted2021-09-21
rioxxterms.versionofrecord10.1117/1.OE.60.10.103101
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2021-10-01
dc.contributor.orcidEl Guendy, MDV [0000-0002-8655-8253]
dc.contributor.orcidMouthaan, Ralf [0000-0001-9817-0742]
dc.contributor.orcidWetherfield, B [0000-0001-9172-8790]
dc.contributor.orcidChristopher, PJ [0000-0003-4034-2147]
dc.contributor.orcidKaczorowski, A [0000-0001-5949-8200]
dc.contributor.orcidWilkinson, Timothy [0000-0001-8885-1288]
dc.identifier.eissn1560-2303
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/I033491/1)
pubs.funder-project-idEPSRC (EP/T008369/1)
pubs.funder-project-idEPSRC (2108797)
cam.orpheus.counter8
rioxxterms.freetoread.startdate2024-09-23


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