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Wave optics can limit the ways in which optical components can change light-ray fields. Optical components called METATOYs trade in the continuity of the phase fronts and the precision to which they change light-ray fields in return for additional possibilities when changing light-ray fields. Now only geometry limits the possible mappings between the positions of an object and its geometric image...
A recent paper demonstrated that two lenslet arrays with focal lengths f1 and f2, separated by f1+f2, change the direction of transmitted light rays approximately like the interface between isotropic media with refractive indices n1 and n2, where n1/n2=-f1/f2 [J. Courtial, New J. Phys. 10 (2008) 083033]. This is true if light passes through corresponding lenslets, that is lenslets that share an optical...
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