Imaging Properties of Kinoform Fibonacci Lenses

Ferrando, Vicente; Calatayud, Arnau; Andrés, Pedro; Torroba, Roberto; Furlan, Walter D.; Monsoriu, Juan A.

doi:10.1109/jphot.2014.2304560

Cited by 35 publications

(25 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Although the focusing and imaging capabilities of Fibonacci lenses have been experimentally demonstrated under monochromatic illumination [14], these lenses are affected by the same limitations of conventional ZPs when broadband illumination is considered, since the twin foci are not self-similar.…”

Section: Introductionmentioning

confidence: 99%

Bifractal focusing and imaging properties of Thue–Morse Zone Plates

et al. 2015

View full text Add to dashboard Cite

Abstract:We present a new family of Zone Plates (ZPs) designed using the Thue-Morse sequence. The focusing and imaging properties of these aperiodic diffractive lenses coined Thue-Morse Zone Plates (TMZPs) are examined. It is demonstrated that TMZPs produce a pair of self-similar and equally intense foci along the optical axis. As a consequence of this property, under broadband illumination, a TMZP produces two foci with an extended depth of focus and a strong reduction of the chromatic aberration compared with conventional periodic ZPs. This distinctive optical characteristic is experimentally confirmed.

show abstract

Section: Introductionmentioning

confidence: 99%

Bifractal focusing and imaging properties of Thue–Morse Zone Plates

et al. 2015

View full text Add to dashboard Cite

show abstract

“…The focusing and imaging properties of Fibonacci diffractive elements, e.g., gratings [20][21][22], lenses [23][24][25], zone plates [26], etc., have been studied in detail. But this aperiodic sequence has not been used for the design of photon sieves, although this kind of photon sieves may allow for new applications in ophthalmology, nanometer lithography, and weapons vision [27].…”

Section: Introductionmentioning

confidence: 99%

Generalized Fibonacci photon sieves

Zhang

2015

Appl. Opt.

View full text Add to dashboard Cite

We successfully extend the standard Fibonacci zone plates with two on-axis foci to the generalized Fibonacci photon sieves (GFiPS) with multiple on-axis foci. We also propose the direct and inverse design methods based on the characteristic roots of the recursion relation of the generalized Fibonacci sequences. By switching the transparent and opaque zones, according to the generalized Fibonacci sequences, we not only realize adjustable multifocal distances but also fulfill the adjustable compression ratio of focal spots in different directions.

show abstract

“…This new DOE has caused wide public concern over the recent years [6][7][8] and researchers have designed different kinds of DOE [9][10][11][12][13][14][15] based on photon sieves proposed by Kipp et al. Fibonacci sequence, named with the inventor Italian mathematician Leonardo de Pisa, called Fibonacci, has been employed in the development of different photonic devices. The focusing and imaging properties of Fibonacci diffractive elements, e.g., gratings [16][17][18], lenses [19][20][21], zone plates [22], etc., are studied in detail. But this amazing aperiodic sequence isn't yet applied in photon sieves.…”

Section: Introductionmentioning

confidence: 99%

Focusing and imaging properties of diffractive optical elements with star-ring topological structure

Zhang

et al. 2015

SPIE Proceedings

View full text Add to dashboard Cite

A kind of diffractive optical elements (DOE) with star-ring topological structure is proposed and their focusing and imaging properties are studied in detail. The so-called star-ring topological structure denotes that a large number of pinholes distributed in many specific zone orbits. In two dimensional plane, this structure can be constructed by two constrains, one is a mapping function, which yields total potential zone orbits, corresponding to the optical path difference (OPD); the other is a switching sequence based on the given encoded seed elements and recursion relation to operate the valid zone orbits. The focusing and imaging properties of DOE with star-ring topological structure are only determined by the aperiodic sequence, and not relevant to the concrete geometry structure. In this way, we can not only complete the traditional symmetrical DOE, such as circular Dammam grating, Fresnel zone plates, photon sieves, and their derivatives, but also construct asymmetrical elements with anisotropic diffraction pattern. Similarly, free-form surface or three dimensional DOE with star-ring topological structure can be constructed by the same method proposed. In consequence of smaller size, lighter weight, more flexible design, these elements may allow for some new applications in micro and nanphotonics.

show abstract

Imaging Properties of Kinoform Fibonacci Lenses

Cited by 35 publications

References 13 publications

Bifractal focusing and imaging properties of Thue–Morse Zone Plates

Bifractal focusing and imaging properties of Thue–Morse Zone Plates

Generalized Fibonacci photon sieves

Focusing and imaging properties of diffractive optical elements with star-ring topological structure

Contact Info

Product

Resources

About