Twin axial vortices generated by Fibonacci lenses

Calatayud, Arnau; Ferrando, Vicente; Remón, Laura; Furlan, Walter D.; Monsoriu, Juan A.

doi:10.1364/oe.21.010234

Cited by 46 publications

(20 citation statements)

References 21 publications

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“…It has been proved that DOEs with nearly 50% of degradation, can still be used in image-forming devices without loss of performance capabilities, allowing applications in harmful working conditions [22]. Fibonacci zone plates [23][24][25][26][27] stand out for producing two foci, that are located one in front and one behind the focus of an equivalent Fresnel zone plate of the same number of zones. The axial positions of these foci are given by the Fibonacci numbers, being the golden mean the ratio of the two focal distances.…”

Section: Introductionmentioning

confidence: 99%

Diffractive m-bonacci lenses

Machado¹,

Ferrando²,

Furlan³

et al. 2017

Opt. Express

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Fibonacci zone plates are proving to be promising candidates in image forming devices. In this letter we show that the set of Fibonacci zone plates are a particular member of a new family of diffractive lenses which can be designed on the basis of a given m-bonacci sequence. These lenses produce twin axial foci whose separation depends on the m-golden mean. Therefore, with this generalization, bifocal systems can be freely designed under the requirement at particular focal planes. Experimental results support our proposal.

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Section: Introductionmentioning

confidence: 99%

Diffractive m-bonacci lenses

Machado¹,

Ferrando²,

Furlan³

et al. 2017

Opt. Express

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“…Moreover, the ratio of the focal distances satisfies u2 u1 ≈ϕ. The diameter of these 'twin' vortices provided by FiVLs is related by the golden mean [46], and the diameter of the rings increases proportionally with the topological charge.…”

Section: Fibonacci Vortex Lensesmentioning

confidence: 99%

Fractal Light Vortices

Machado¹,

Monsoriu²,

Furlan³

2017

Vortex Dynamics and Optical Vortices

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Vortex lenses produce special wavefronts with zero-axial intensity, and helical phase structure. The variations of the phase and amplitude of the vortex produce a circular flow of energy that allows transmitting orbital angular momentum. This property is especially in optical trapping, because due to the orbital angular momentum of light, they have the ability to set the trapped particles into rotation. Vortex lenses engraved in diffractive optical elements have been proposed in the last few years. These lenses can be described mathematically as a two-dimensional (2D) function, which expressed in polar coordinates are the product of two different separable one-dimensional (1D) functions: One, depends only on the square of radial coordinate, and the other one depends linearly on the azimuthal coordinate and includes the topological charge. The 1D function that depends on the radial coordinate is known as a zone plate. Here, vortex lenses, constructed using different aperiodic zone plates, are reviewed. Their optical properties are studied numerically by computing the intensity distribution along the optical axis and the transverse diffraction patterns along the propagation direction. It is shown that these elements are able to create a chain of optical traps with a tunable separation, strength and transverse section.

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“…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.

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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.

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Twin axial vortices generated by Fibonacci lenses

Cited by 46 publications

References 21 publications

Diffractive m-bonacci lenses

Diffractive m-bonacci lenses

Fractal Light Vortices

Generalized Fibonacci photon sieves

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