Wigner distribution function of volume holograms

Based on a linear systems approach, we derive the Wigner distribution function (WDF) of a 4f imager with a volume holographic three-dimensional pupil; then we obtain the WDF of the volume hologram itself by using the shearing properties of the WDF. Two common configurations, plane and spherical wave...

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Main Authors: Oh, Se Baek, Barbastathis, George
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Optical Society of America 2009
Online Access:http://hdl.handle.net/1721.1/49444
https://orcid.org/0000-0002-4140-1404
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author Oh, Se Baek
Barbastathis, George
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Oh, Se Baek
Barbastathis, George
author_sort Oh, Se Baek
collection MIT
description Based on a linear systems approach, we derive the Wigner distribution function (WDF) of a 4f imager with a volume holographic three-dimensional pupil; then we obtain the WDF of the volume hologram itself by using the shearing properties of the WDF. Two common configurations, plane and spherical wave reference volume holograms, are examined in detail. The WDF elucidates the shift variant nature of the volume holographic element in both cases.
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spelling mit-1721.1/494442022-09-29T12:27:54Z Wigner distribution function of volume holograms Oh, Se Baek Barbastathis, George Massachusetts Institute of Technology. Department of Mechanical Engineering Oh, Se Baek Barbastathis, George Oh, Se Baek Based on a linear systems approach, we derive the Wigner distribution function (WDF) of a 4f imager with a volume holographic three-dimensional pupil; then we obtain the WDF of the volume hologram itself by using the shearing properties of the WDF. Two common configurations, plane and spherical wave reference volume holograms, are examined in detail. The WDF elucidates the shift variant nature of the volume holographic element in both cases. 2009-10-19T13:22:39Z 2009-10-19T13:22:39Z 2009-08 2009-04 Article http://purl.org/eprint/type/SubmittedJournalArticle 0146-9592 http://hdl.handle.net/1721.1/49444 S. Oh and G. Barbastathis, "Wigner distribution function of volume holograms," Opt. Lett. 34, 2584-2586 (2009). https://orcid.org/0000-0002-4140-1404 en_US http://dx.doi.org/10.1364/OL.34.002584 Optics Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Optical Society of America Se Baek Oh
spellingShingle Oh, Se Baek
Barbastathis, George
Wigner distribution function of volume holograms
title Wigner distribution function of volume holograms
title_full Wigner distribution function of volume holograms
title_fullStr Wigner distribution function of volume holograms
title_full_unstemmed Wigner distribution function of volume holograms
title_short Wigner distribution function of volume holograms
title_sort wigner distribution function of volume holograms
url http://hdl.handle.net/1721.1/49444
https://orcid.org/0000-0002-4140-1404
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