Sequence of focused optical vortices generated by a spiral fractal zone plate

Tao, Shaohua; Xiao, Yuan; Lin, Jiao; Burge, R. E.

doi:10.1063/1.2226995

Cited by 87 publications

(60 citation statements)

References 8 publications

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“…One of the simplest and most conventional ways to realize a multi-focal MFZP is to divide the area of a lens into multiple sections, such that each section is individually designed and constructed to produce a different focal point [22][23][24]. Whilst this spatial division can be carried out either azimuthally or radially, it can produce some undesirable outcomes.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study on Multi-Focal Metallic Fresnel Zone Plates Designed by the Phase Selection Rule via Virtual Point Sources

Kim

Lee

et al. 2018

Applied Sciences

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Abstract:We propose a novel design method for multi-focal metallic Fresnel zone plates (MFZPs), which exploits the phase selection rule by putting virtual point sources (VPSs) at the desired focal points distant to the MFZP plane. The phase distribution at the MFZP plane reciprocally formed by the VPSs was quantized in a binary manner based on the phase selection rule, thereby leading to a corresponding on-off amplitude pattern for the targeted MFZP. The resultant phase distribution was dependent on the complex amplitudes of the VPSs, so that they could be determined from the perspective of both multi-focal functionality and fabrication feasibility. As a typical example, we utilized the particle swarm optimization algorithm to determine them. Based on the proposed method, we designed and numerically analyzed two types of novel MFZPs-one for a monochromatic multi-focal application and the other for a multi-chromatic mono-focal application-verifying the effectiveness and validity of the proposed method. We also fabricated them onto Au-deposited glass substrates, using electron beam evaporation and a focused ion beam milling process. We experimentally characterized them and also verified that they successfully demonstrated their feasibilities. The former produced distinct hot spots at three different focal distances of 10, 15, and 20 µm for monochromatic incidence at 650 nm, and the latter produced a single hot spot at a focal distance of 15 µm for multi-chromatic incidence at 660, 532, and 473 nm. The experimental results were also in good agreement with their corresponding numerical results. We expect that both MFZPs will have various applications, such as laser micromachining, optical trapping, biomedical sensing, confocal collimation, achromatic optics, etc.

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Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Study on Multi-Focal Metallic Fresnel Zone Plates Designed by the Phase Selection Rule via Virtual Point Sources

Kim

Lee

et al. 2018

Applied Sciences

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“…This fact is supported by the introduction of a novel family of diffracting apertures known as fractal zone plates (FZPs) [13]. These apertures, among other applications, have been used in the generation of optical vortices employed for trapping and rotating microparticles [14,15] or as image-forming devices with an extended depth of field and reduced chromatic aberration under white-light illumination [16]. FZPs can be regarded as a set of circularly symmetric apertures with spatial self-similar distribution in the squared radial coordinate r 2 .…”

mentioning

confidence: 95%

Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping

et al. 2012

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We demonstrated a simple diffractive method to map the self-similar structure shown in squared radial coordinate of any set of circularly symmetric fractal plates into self-similar light pulses in the corresponding temporal domain. The space-to-time mapping of the plates was carried out by means of a kinoform diffractive lens under femtosecond illumination. The spatio-temporal characteristics of the fractal pulses obtained in this way were measured by means of a spectral interferometry technique assisted by a fiber optics coupler (STARFISH). Our proposal allows synthesizing suited sequences of focused fractal femtosecond pulses potentially useful for several current applications, such as femtosecond material processing, atomic, and molecular control of chemical processes or generation of nonlinear effects.

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“…It has been demonstrated that spiral phase plates can be combined with fractal zone plates (FraZPs) [6] to produce a sequence of focused optical vortices along the propagation direction [7]. Among FraZPs, devil's vortex lenses (DVLs) deserve particular interest.…”

Section: Introductionmentioning

confidence: 99%

Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays

et al. 2013

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Different spatial distributions of optical vortices have been generated and characterized by implementing arrays of devil's vortex lenses in a reconfigurable spatial light modulator. A simple design procedure assigns the preferred position and topological charge value to each vortex in the structure, tuning the desired angular momentum. Distributions with charges and momenta of the opposite sign have been experimentally demonstrated. The angular velocity exhibited by the phase distribution around the focal plane has been visualized, showing an excellent agreement with the simulations. The practical limits of the method, with interest for applications involving particle transfer and manipulation, have been evaluated.

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Sequence of focused optical vortices generated by a spiral fractal zone plate

Cited by 87 publications

References 8 publications

Numerical and Experimental Study on Multi-Focal Metallic Fresnel Zone Plates Designed by the Phase Selection Rule via Virtual Point Sources

Numerical and Experimental Study on Multi-Focal Metallic Fresnel Zone Plates Designed by the Phase Selection Rule via Virtual Point Sources

Synthesis of fractal light pulses by quasi-direct space-to-time pulse shaping

Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays

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