Complete transverse representation of a correlation singularity of a partially coherent field

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dc.contributor.author Gbur, Greg
dc.contributor.author Swartzlander, Grover Jr.
dc.date.accessioned 2010-08-24T14:27:33Z
dc.date.available 2010-08-24T14:27:33Z
dc.date.issued 2008-08-13
dc.identifier.citation Journal of the Optical Society of America, Optical Society of America, vol. 25, no. 09, September 2008 en_US
dc.identifier.uri http://hdl.handle.net/1850/12541
dc.description.abstract An understanding of correlation singularities is fundamentally important in imaging science. Until now spatial coherence studies have examined a two-dimensional projection of the four-dimensional correlation function, finding so-called correlation vortices or correlation ring dislocations in a given transverse plane. Here we describe the properties and symmetries of the full four-dimensional correlation function. The general solution is found to be a hyperbola in two reduced dimensions. For perfect coherence this reduces to crossed straight lines, whereas in the incoherent limit it reduces to parallel lines. These results elucidate a number of previous experimental and theoretical observations regarding correlation singularities and suggest other behaviors of such singularities. en_US
dc.language.iso en_US en_US
dc.publisher Optical Society of America en_US
dc.relation.ispartofseries vol. 25 en_US
dc.relation.ispartofseries no. 09 en_US
dc.subject Imaging science en_US
dc.subject Physics en_US
dc.title Complete transverse representation of a correlation singularity of a partially coherent field en_US
dc.type Article en_US

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