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dc.contributor.authorSümbül, U.en_US
dc.contributor.authorOzaktas, H. M.en_US
dc.date.accessioned2016-02-08T10:30:55Z
dc.date.available2016-02-08T10:30:55Z
dc.date.issued2003en_US
dc.identifier.issn1084-7529
dc.identifier.urihttp://hdl.handle.net/11693/24548
dc.description.abstractContinuum extensions of common dual pairs of operators are presented and consolidated, based on the fractional Fourier transform. In particular, the fractional chirp multiplication, fractional chirp convolution, and fractional scaling operators are defined and expressed in terms of their common nonfractional special cases, revealing precisely how they are interpolations of their conventional counterparts. Optical realizations of these operators are possible with use of common physical components. These three operators can be interpreted as fractional lenses, fractional free space, and fractional imaging systems, respectively. Any optical system consisting of an arbitrary concatenation of sections of free space and thin lenses can be interpreted as a fractional imaging system with spherical reference surfaces. As a special case, a system departing from the classical single-lens imaging condition can be interpreted as a fractional imaging system. © 2003 Optical Society of America.en_US
dc.language.isoEnglishen_US
dc.source.titleOptical Society of America. Journal A: Optics, Image Science, and Visionen_US
dc.subjectConvolutionen_US
dc.subjectFourier transformsen_US
dc.subjectInterpolationen_US
dc.subjectLensesen_US
dc.subjectMatrix algebraen_US
dc.subjectOptical systemsen_US
dc.subjectFractional imaging systemsen_US
dc.subjectImaging systemsen_US
dc.titleFractional free space, fractional lenses, and fractional imaging systemsen_US
dc.typeArticleen_US
dc.departmentDepartment of Electrical and Electronics Engineering
dc.citation.spage2033en_US
dc.citation.epage2040en_US
dc.citation.volumeNumber20en_US
dc.citation.issueNumber11en_US
dc.publisherOSA - The Optical Societyen_US


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