2020
DOI: 10.1364/oe.379492
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Fundamental limit for gain and resolution in analog optical edge detection

Abstract: In this paper, the relation between gain and resolution of an ideal analog optical differentiator in two different cases and their fundamental limits are investigated. Based on this relation, a figure of merit for comparison of the designed differentiators in recent papers is proposed. The differentiators are optimized using this figure of merit, and they are compared with each other to determine the best one. Also, a new differentiator is presented based on the dielectric slab waveguide in which the trade-off… Show more

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Cited by 30 publications
(12 citation statements)
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“…In a theoretical study, Karimi at al. discussed the fundamental gain-resolution limit that applies to optical analog edge detectors [94]. Considering the Rayleigh criterion, the derived formula reveals a linear relation between the gain of the spatial filter and the achievable image resolution.…”
Section: Discussionmentioning
confidence: 99%
“…In a theoretical study, Karimi at al. discussed the fundamental gain-resolution limit that applies to optical analog edge detectors [94]. Considering the Rayleigh criterion, the derived formula reveals a linear relation between the gain of the spatial filter and the achievable image resolution.…”
Section: Discussionmentioning
confidence: 99%
“…So far, most demonstrations have suffered from the narrow operational spatial bandwidth associated with the low resolution of processed images. In a theoretical study, Karimi et al [98] discussed the fundamental gain-resolution limit that applies to optical analog edge detectors. Considering the Rayleigh criterion, the derived formula reveals a linear relation between the gain of the spatial filter and the achievable image resolution.…”
Section: Discussionmentioning
confidence: 99%
“…It should be mentioned that dielectric metasurfaces also have some drawbacks-some of them only work for one polarization while the energy of other polarized waves is completely wasted, which may lead to relatively low signal-to-noise ratio. Moreover, determining how to balance the features of numerical aperture, efficiency and spatial resolution requires an elaborate design [157].…”
Section: Discussionmentioning
confidence: 99%