Bifractal focusing and imaging properties of Thue–Morse Zone Plates

Ferrando, Vicente; Giménez, Fernando; Furlan, Walter D.; Monsoriu, Juan A.

doi:10.1364/oe.23.019846

Cited by 62 publications

(49 citation statements)

References 23 publications

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“…In this way, like FiVLs, TMVLs are bifocals, but they produce a sequence of secondary foci around each main focus that have a fractal structure. In fact, it has been shown that irradiance provided by these lenses with topological charge m ¼ 0i s self-similar [51], that is, the irradiance distribution corresponding to a TMVL of order S is a modulated version of the irradiance distribution corresponding to the previous stage, S−1, magnified by a factor 2.…”

Section: Thue-morse Vortex Lensmentioning

confidence: 99%

“…On the other hand, in recent years different non-periodic and quasi-periodic sequences [22] have been also employed to design new types of ZPs with curious physical properties. Fractal zone plates (FrZPs) [23,24], Fibonacci zone plates (FiZPs) [25,26], Thue-Morse zone plates (TMZPs) [27] and some variations of these basic designs are representative examples [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…TMZPs are based on the deterministic Thue-Morse sequence, which results in a combination of the FrZP and FiZP. For this reason, this new family of aperiodic ZPs combines the advantages of fractal ZPs (reduction of the chromatic aberration) and Fibonacci ZPs (bifocusing along the optical axis) [27].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Thue-morse Vortex Lensmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractal Light Vortices

Machado¹,

Monsoriu²,

Furlan³

2017

Vortex Dynamics and Optical Vortices

Self Cite

View full text Add to dashboard Cite

show abstract

“…Fibonacci zone plates are intrinsically bifocals, being the ratio of the two main focal distances defined by the golden ratio [11]. Thue-Morse zone plates combine the properties of fractal and Fibonacci zone plates producing two main self-similar foci along the optical axis with extended depth of focus [12].…”

Section: Introductionmentioning

confidence: 99%

Multiple-plane image formation by Walsh zone plates

Machado¹,

Ferrando²,

Giménez³

et al. 2018

Opt. Express

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A radial Walsh filter is a phase binary diffractive optical element characterized by a set of concentric rings that take the phase values 0 or π, corresponding to the values + 1 or -1 of a given radial Walsh function. Therefore, a Walsh filter can be re-interpreted as an aperiodic multifocal zone plate, capable to produce images of multiple planes simultaneously in a single output plane of an image forming system. In this paper, we experimentally demonstrate for the first time the focusing capabilities of these structures. Additionally, we report the first achievement of images of multiple-plane objects in a single image plane with these aperiodic diffractive lenses.

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“…These subsidiary foci of the FZP provide an extended depth of focus for each wavelength that partially overlaps with the other ones, creating an overall extended depth of focus that is less sensitive to chromatic aberration. However, the price paid to gain depth of field and reduce chromatic aberration is a reduced resolution, low energy efficiency, and strong background stray light 16 17 . In 2007, Andersen et al .…”

mentioning

confidence: 99%

Ultra-broadband achromatic imaging with diffractive photon sieves

Zhao

Lin

et al. 2016

Sci Rep

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Diffractive optical elements suffer from large chromatic aberration due to the strong wavelength-dependent nature in diffraction phenomena, and therefore, diffractive elements can work only at a single designed wavelength, which significantly limits the applications of diffractive elements in imaging. Here, we report on a demonstration of a wavefront coded broadband achromatic imaging with diffractive photon sieves. The broadband diffraction imaging is implemented with a wavefront coded pinhole pattern that generates equal focusing power for a wide range of operating wavelength in a single thin-film element without complicated auxiliary optical system. Experimental validation was performed using an UV-lithography fabricated wavefront coded photon sieves. Results show that the working bandwidth of the wavefront coded photon sieves reaches 28 nm compared with 0.32 nm of the conventional one. Further demonstration of the achromatic imaging with a bandwidth of 300 nm is also performed with a wavefront coded photon sieves integrated with a refractive element.

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Bifractal focusing and imaging properties of Thue–Morse Zone Plates

Cited by 62 publications

References 23 publications

Fractal Light Vortices

Fractal Light Vortices

Multiple-plane image formation by Walsh zone plates

Ultra-broadband achromatic imaging with diffractive photon sieves

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