{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T19:07:12Z","timestamp":1770836832487,"version":"3.50.1"},"reference-count":19,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2020,11,20]],"date-time":"2020-11-20T00:00:00Z","timestamp":1605830400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Union's Horizon 2020 research and innovation program Laserlab-Europe","award":["871124"],"award-info":[{"award-number":["871124"]}]},{"name":"ANRT -CIFRE","award":["2019\/0271"],"award-info":[{"award-number":["2019\/0271"]}]},{"name":"Projet Prematuration 2019 IP Paris"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In recent years, integral imaging, a promising three-dimensional imaging technology, has attracted more and more attention for its broad applications in robotics, computational vision, and medical diagnostics. In the visible spectrum, an integral imaging system can be easily implemented by inserting a micro-lens array between a image formation optic and a pixelated detector. By using a micro-Fresnel Zone Plate (FZP) array instead of the refractive lens array, the integral imaging system can be applied in X-ray. Due to micro-scale dimensions of FZP in the array and current manufacturing techniques, the number of zones of FZP is limited. This may have an important impact on the FZP imaging performance. The paper introduces a simulation method based on the scalar diffraction theory. With the aid of this method, the effect of the number of zones on the FZP imaging performance is numerically investigated, especially the case of very small number of zones. Results of several simulation of FZP imaging are presented and show the image can be formed by a FZP with a number of zones as low as 5. The paper aims at offering a numerical approach in order to facilitate the design of FZP for integral imaging.<\/jats:p>","DOI":"10.3390\/s20226649","type":"journal-article","created":{"date-parts":[[2020,11,20]],"date-time":"2020-11-20T09:46:18Z","timestamp":1605865578000},"page":"6649","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Simulation of Fresnel Zone Plate Imaging Performance with Number of Zones"],"prefix":"10.3390","volume":"20","author":[{"given":"Ying","family":"Li","sequence":"first","affiliation":[{"name":"Laboratoire d\u2019Optique Appliqu\u00e9e, CNRS, ENSTA-Paris, Institut Polytechnique de Paris, 828 Boulevard des Mar\u00e9chaux, 91120 Palaiseau, France"},{"name":"Imagine Optic, Rue Fran\u00e7ois Mitterrand, 33400 Talence, France"}]},{"given":"Ombeline","family":"de La Rochefoucauld","sequence":"additional","affiliation":[{"name":"Imagine Optic, Rue Fran\u00e7ois Mitterrand, 33400 Talence, France"}]},{"given":"Philippe","family":"Zeitoun","sequence":"additional","affiliation":[{"name":"Laboratoire d\u2019Optique Appliqu\u00e9e, CNRS, ENSTA-Paris, Institut Polytechnique de Paris, 828 Boulevard des Mar\u00e9chaux, 91120 Palaiseau, France"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1051\/jphystap:019080070082100","article-title":"Epreuves reversibles donnant la sensation du relief","volume":"7","author":"Lippmann","year":"1908","journal-title":"J. Phys. Theor. Appl."},{"key":"ref_2","unstructured":"Ng, R., Levoy, M., Br\u00e9dif, M., Duval, G., Horowitz, M., and Hanrahan, P. (2005). Light Field Photography with a Hand-Held Plenoptic Camera. [Ph.D. Thesis, Stanford University]. Available online: https:\/\/hal.archives-ouvertes.fr\/hal-02551481."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1364\/OPTICA.2.000104","article-title":"3D intensity and phase imaging from light field measurements in an LED array microscope","volume":"2","author":"Tian","year":"2015","journal-title":"Optica"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1259\/dmfr\/23496562","article-title":"Effect of number of projections on image quality of local CT","volume":"33","author":"Weenen","year":"2004","journal-title":"Dentomaxillofacial Radiol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2071","DOI":"10.1001\/archinternmed.2009.440","article-title":"Projected cancer risks from computed tomographic scans performed in the United States in 2007","volume":"169","author":"Mahesh","year":"2009","journal-title":"Arch. Intern. Med."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"f2360","DOI":"10.1136\/bmj.f2360","article-title":"Cancer risk in 680 000 people exposed to computed tomography scans in childhood or adolescence: Data linkage study of 11 million Australians","volume":"346","author":"Mathews","year":"2013","journal-title":"BMJ"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Wilburn, B., Joshi, N., Vaish, V., Talvala, E.V., Antunez, E., Barth, A., Andrew, A., Mark, H., and Marc, L. (2005). High performance imaging using large camera arrays. ACM SIGGRAPH 2005 Pap., 765\u2013776.","DOI":"10.1145\/1186822.1073259"},{"key":"ref_8","first-page":"21","article-title":"Spatio-angular resolution tradeoffs in integral photography","volume":"263\u2013272","author":"Georgiev","year":"2006","journal-title":"Render. Tech."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1145\/1276377.1276463","article-title":"Dappled photography: Mask enhanced cameras for heterodyned light fields and coded aperture refocusing","volume":"26","author":"Veeraraghavan","year":"2007","journal-title":"ACM Trans. Graph."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Attwood, D., and Anne, S. (2017). X-rays and Extreme Ultraviolet Radiation: Principles and Applications, Cambridge University Press.","DOI":"10.1017\/CBO9781107477629"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Erko, A., Idir, M., Krist, T., and Michette, A.G. (2008). Modern Developments in X-ray and Neutron Optics, Springer.","DOI":"10.1007\/978-3-540-74561-7"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1051\/epjap:2002092","article-title":"Wavefront measurements in the soft X-ray range","volume":"20","author":"Zeitoun","year":"2002","journal-title":"Eur. Phys. J. Appl. Phys."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"183901","DOI":"10.1103\/PhysRevLett.88.183901","article-title":"Electromagnetic-field distribution measurements in the soft x-ray range: Full characterization of a soft x-ray laser beam","volume":"88","author":"Zeitoun","year":"2002","journal-title":"Phys. Rev. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1007\/s00340-004-1430-9","article-title":"Recent developments in X-UV optics and X-UV diagnostics","volume":"78","author":"Zeitoun","year":"2004","journal-title":"Appl. Phys. B"},{"key":"ref_15","unstructured":"Gaskill, J.D. (1978). Linear Systems, Fourier Transforms, and Optics, Wiley."},{"key":"ref_16","unstructured":"Goodman, J.W. (2005). Introduction to Fourier Optics, Roberts and Company Publishers."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1080\/14786447908639684","article-title":"Investigations in optics, with special reference to the spectroscope","volume":"8","author":"Rayleigh","year":"1879","journal-title":"Lond. Edinb. Dublin Philos. Mag. J. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Voelz, D. (2011). Computational Fourier Optics: A MATLAB Tutorial, SPIE Press.","DOI":"10.1117\/3.858456"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Ersoy, O.K. (2006). Diffraction, Fourier Optics and Imaging, John Wiley & Sons.","DOI":"10.1002\/0470085002"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/22\/6649\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:34:46Z","timestamp":1760178886000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/22\/6649"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,20]]},"references-count":19,"journal-issue":{"issue":"22","published-online":{"date-parts":[[2020,11]]}},"alternative-id":["s20226649"],"URL":"https:\/\/doi.org\/10.3390\/s20226649","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,20]]}}}