A two incoherent sources resolution criterion in the phase space

L. R. Berriel Valdos; J. F. Aguilar; J. L. Juárez Pérez; G. Rodríguez Gómez; J. Carranza Gallardo; E. de la Rosa Miranda

doi:10.1117/12.666967

9 December 2005 A two incoherent sources resolution criterion in the phase space

L. R. Berriel Valdos, J. F. Aguilar, J. L. Juárez Pérez, G. Rodríguez Gómez, J. Carranza Gallardo, E. de la Rosa Miranda

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Proceedings Volume 6024, ICO20: Optical Devices and Instruments; 60242K (2005) https://doi.org/10.1117/12.666967
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

The aim of this work is to propose a positiveness constraint on the Wigner Distribution Function (WDF) of the detected image of two incoherent point sources: if WDF lacks of zeroes along the frequency coordinate the object can not be resolved by imaging and detected systems; otherwise, it can. This criterion can be applied without preference for a circular clear diffraction limited aperture and for complex apertures with small aberration values; furthermore, it holds if the intensity of each source is different or even when the sources are not points.

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L. R. Berriel Valdos, J. F. Aguilar, J. L. Juárez Pérez, G. Rodríguez Gómez, J. Carranza Gallardo, and E. de la Rosa Miranda "A two incoherent sources resolution criterion in the phase space", Proc. SPIE 6024, ICO20: Optical Devices and Instruments, 60242K (9 December 2005); https://doi.org/10.1117/12.666967

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