Optical beam interactions with a periodic array of Fresnel zone plates

Roszkiewicz, Agata; Nasalski, W.

doi:10.1088/0953-4075/47/16/165401

Cited by 3 publications

(3 citation statements)

References 36 publications

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“…Under oblique incidence many interesting phenomena triggered by the cross-polarization coupling [31], like beam spatial reshaping, shifting, splitting and switching, appear [32,38]. Theoretical predictions of this coupling were subsequently followed by additional numerical simulations of beam propagation and refraction phenomena [39,40]. Analogical results can be also obtained for the exact eLG beams interacting , .…”

Section: 1mentioning

confidence: 90%

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Elegant Laguerre–Gaussian beams—formulation of exact vector solution

Nasalski

2018

J. Opt.

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In photonic applications of optical beams, their transverse cross-section should be often narrow, with a diameter in their waist of the order of one wavelength or even less. Within this range, the paraxial approximation of beam fields is not valid and standard corrections by field expansions with respect to a small parameter are not efficient as well. Thus, still there is a need for more accurate beam field description. In this report, an exact vector solution for free-space propagation is given in terms of elegant Laguerre–Gaussian beams. The analysis starts from the known paraxial field approximation and next, through bidirectional field transformation and application of a Hertz potential leads to an exact vector solution. The role of the paraxial solution in construction of the exact solution is elucidated. The method works well not only in cases of free-space propagation but also in description of beam interactions with planar interfaces and multilayers.

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Section: 1mentioning

confidence: 90%

“…In other words, the beam fields of polar polarization fulfilled equation(40) are composed of the beam fields of the circular polarization fulfilled equation(38). One example of such composition is presented in figures 3 and 4.…”

mentioning

confidence: 99%

Elegant Laguerre–Gaussian beams—formulation of exact vector solution

Nasalski

2018

J. Opt.

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“…However, considerations on such complex 3D field-structure configurations are beyond the scope of this work. Examples of them were already analysed by us in the context of interactions of paraxial beams with planar isotropic interfaces [26], open nano-meta-rezonators [27] and periodic arrays of Fresnel zone plates [28].…”

Section: Crystals With Spatially Shifted Layersmentioning

confidence: 99%

Transmission and reflection properties of two-dimensional finite metal crystals

Roszkiewicz

Nasalski

2017

Eur. Phys. J. D

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Abstract. Optical characteristics of a finite two-dimensional silver stripe photonic crystal of a square lattice are numerically analysed with use of multilayer Rigorous Coupled Wave Analysis. Qualitative changes in optical response of the crystal originated from modifications of the thickness and filling factors of each layer and the polarization direction of the incident wave are shown. The crystal manifests its various characteristics in wideband or narrowband reflection and transmission, while absorption remains low. The behaviour of the crystal is determined by its structure geometry yielding excitation of localized plasmons and collective modes together with interactions between them. The optical response of the square lattice structure is also compared with the response of a triangular lattice crystal.

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Metallic Fresnel zone plate implemented on an optical fiber facet for super-variable focusing of light

Kim

et al. 2017

Opt. Express

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We propose and investigate a metallic Fresnel zone plate (FZP/MFZP) implemented on a silver-coated optical fiber facet for super-variable focusing of light, the focal point of which can be drastically relocated by varying the wavelength of the incident light. We numerically show that when its nominal focal length is set to 20 μm at 550 nm, its effective focal length can be tuned by ~13.7 μm for 300-nm change in the visible wavelength range. This tuning sensitivity is over 20 times higher than that of a conventional silica-based spherical lens. Even with such high tuning sensitivity with respect to the incident wavelength change, the effective beam radius at the focal point is preserved nearly unchanged, irrespective of the incident wavelength. Then, we fabricate the proposed device, exploiting electron- and focused-ion-beam processes, and experimentally verify its super-variable focusing functionality at typical red, green, and blue wavelengths in the visible wavelength range, which is in good agreement with the numerical prediction. Moreover, we propose a novel MFZP structure that primarily exploits the surface-plasmon-polariton-mediated, extra-ordinary transmission effect. For this we make all the openings of an MFZP, which are determined by the fundamental FZP design formula, be partitioned by multi-rings of all-sub-wavelength annular slits, so that the transmission of azimuthally polarized light is inherently prohibited, thereby leading to super-variable and selective focusing of radially polarized light. We design and fabricate a proof-of-principle structure implemented on a gold-coated fused-silica substrate, and verify its novel characteristics both numerically and experimentally, which are mutually in good agreement. We stress that both the MFZP structures proposed here will be very useful for micro-machining, optical trapping, and biomedical sensing, in particular, which invariably seek compact, high-precision, and flexible focusing schemes.

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Optical beam interactions with a periodic array of Fresnel zone plates

Cited by 3 publications

References 36 publications

Elegant Laguerre–Gaussian beams—formulation of exact vector solution

Elegant Laguerre–Gaussian beams—formulation of exact vector solution

Transmission and reflection properties of two-dimensional finite metal crystals

Metallic Fresnel zone plate implemented on an optical fiber facet for super-variable focusing of light

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