Fast-Fourier-Transform Based Numerical Integration Method For The Rayleigh-Sommerfeld Diffraction Formula

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dc.contributorVirginia Techen
dc.contributor.authorShen, F. B.en
dc.contributor.authorWang, Anboen
dc.contributor.departmentCenter for Photonics Technologyen
dc.date.accessed2014-02-24en
dc.date.accessioned2014-04-04T15:12:16Zen
dc.date.available2014-04-04T15:12:16Zen
dc.date.issued2006-08-01en
dc.description.abstractThe numerical calculation of the Rayleigh-Sommerfeld diffraction integral is investigated. The implementation of a fast-Fourier-transform (FFT) based direct integration (FFT-DI) method is presented, and Simpson's rule is used to improve the calculation accuracy. The sampling interval, the size of the computation window, and their influence on numerical accuracy and on computational complexity are discussed for the FFT-DI and the FFT-based angular spectrum (FFT-AS) methods. The performance of the FFT-DI method is verified by numerical simulation and compared with that of the FFT-AS method. (c) 2006 Optical Society of America.en
dc.description.sponsorshipU.S. Department of Energy DE-FC36-01G011050en
dc.description.sponsorshipNational Science Foundation CMS-0427951en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFabin Shen and Anbo Wang, "Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula," Appl. Opt. 45, 1102-1110 (2006). doi: 10.1364/ao.45.001102en
dc.identifier.doihttps://doi.org/10.1364/ao.45.001102en
dc.identifier.issn1559-128Xen
dc.identifier.urihttp://hdl.handle.net/10919/46900en
dc.identifier.urlhttp://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-6-1102en
dc.language.isoen_USen
dc.publisherOptical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNear-fielden
dc.subjectFresnel approximationen
dc.subjectKirchhoff diffractionen
dc.subjectAxial pointsen
dc.subjectValidityen
dc.subjectApertureen
dc.subjectWavesen
dc.titleFast-Fourier-Transform Based Numerical Integration Method For The Rayleigh-Sommerfeld Diffraction Formulaen
dc.title.serialApplied Opticsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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