Resolving power of a hybrid zone-plate/gradient-index lens system

Jose Manuel Rivas-Moscoso; Carlos C. Gomez-Reino

doi:10.1117/12.592178

21 October 2004 Resolving power of a hybrid zone-plate/gradient-index lens system

Jose Manuel Rivas-Moscoso, Carlos C. Gomez-Reino

Proceedings Volume 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications; (2004) https://doi.org/10.1117/12.592178
Event: 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, 2004, Porlamar, Venezuela

Abstract

Following the Rayleigh criterion for resolution, we analyze the resolving power of a hybrid optical structure composed of a zone plate and a gradient-index lens at focal planes inside and outside the lens in terms of the type and number of zones of the zone plate. The Fraunhofer approximation can be invoked to study the irradiance at the Fourier planes inside the lens. In all other cases, the Fresnel diffraction integral must be used, although the resolution defined by the Rayleigh criterion still holds. We compare the limit of resolution for the hybrid structure with the resolution of a lens with the same aperture diameter as a function of the number of zones, stating that both coincide for a large number of zones. Finally, we present irradiance profiles with both approximations at various planes inside the lens and compare the results with those obtained by the use of zone plates in free space.

Citation Download Citation

Jose Manuel Rivas-Moscoso and Carlos C. Gomez-Reino "Resolving power of a hybrid zone-plate/gradient-index lens system", Proc. SPIE 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, (21 October 2004); https://doi.org/10.1117/12.592178

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KEYWORDS

GRIN lenses

Spectral resolution

Zone plates

Gradient-index optics

Free space

Solids

Fourier transforms

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