Fractional Talbot Effect: Compact Description

Arrizón, Víctor; Rojo-Velázquez, G.; Ibarra, J.

doi:10.1007/s10043-000-0129-3

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…At other distances we observed more complex images and/or low intensity. We recognized that these images were related to the Talbot effect 210,211. There are two important aspects of this observation.…”

Section: Surface Plasmon-coupled Emission (Spce)mentioning

confidence: 69%

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Plasmon-controlled fluorescence: a new paradigm in fluorescence spectroscopy

Lakowicz

Ray

Chowdhury

et al. 2008

Analyst

600

687

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Fluorescence spectroscopy is widely used in biological research. Until recently, essentially all fluorescence experiments were performed using optical energy which has radiated to the far-field. By far-field we mean at least several wavelengths from the fluorophore, but propagating far-field radiation is usually detected at larger macroscopic distances from the sample. In recent years there has been a growing interest in the interactions of fluorophores with metallic surfaces or particles. Near-field interactions are those occurring within a wavelength distance of an excited fluorophore. The spectral properties of fluorophores can be dramatically altered by near-field interactions with the electron clouds present in metals. These interactions modify the emission in ways not seen in classical fluorescence experiments. In this review we provide an intuitive description of the complex physics of plasmons and near-field interactions. Additionally, we summarize the recent work on metal-fluorophore interactions and suggest how these effects will result in new classes of experimental procedures, novel probes, bioassays and devices.

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Section: Surface Plasmon-coupled Emission (Spce)mentioning

confidence: 69%

“…We recognized that these images were related to the Talbot effect. 210, 211 There are two important aspects of this observation.…”

Section: Sub-wavelength Optical Microscopy Using Plasmonic Nanostructurementioning

confidence: 96%

Plasmon-controlled fluorescence: a new paradigm in fluorescence spectroscopy

Lakowicz

Ray

Chowdhury

et al. 2008

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600

687

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“…We also indicate that ϕ ′ k means the azimuthal angle of the twodimensional vector k ′ ⊥ = k ⊥ − q mn . Due to the presence of the delta function in expression (26), only vectors k ⊥ such that the length of the vector k ′ ⊥ is κ, i.e.…”

Section: Diffraction Of the Bessel Wavementioning

confidence: 99%

“…contributing to the field behind the grating. Each term of the series in (26) with given indices m and nth is a superposition of plane waves lying on a cone with a vertex angle θ k = arctan(κ/k z ) around the direction of the vector {q mn , k z } to the center of the image of the corresponding hole. This angle is exactly equal to the angle at the vertex of the cone of (22) in the decomposition into plane waves of the original Bessel wave.…”

Section: Diffraction Of the Bessel Wavementioning

confidence: 99%

Diffraction of bessel beams on 2D amplitude gratings—a new branch in the talbot effect study

Kotelnikov

Kameshkov

Knyazev

2020

J. Opt.

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In this paper, an analytical theory for the diffraction of a Bessel beam of arbitrary order J l (κr) on a 2D amplitude grating is presented. The diffraction pattern in the main and fractional Talbot planes under certain conditions is a lattice of annular microbeams, the diameters of which depend on the grating period, the illuminating beam diameter, the number of the Talbot plane, and the topological charge l. For the rings near the optical axis, the latter reproduces l of the illuminating beam. Experiments carried out on the Novosibirsk free electron laser at a wavelength λ = 141 µm using gratings with hole diameters of down to d ≈ 2λ, as well as, the numerical simulations, well support the theory. Since the Laguerre-Gaussian beams can be represented as a superposition of Bessel beams, results of this paper can be applied to the analysis of the Talbot effect with the Laguerre-Gaussian beams.

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“…An excellent review of the Talbot effect has been given by Patorski (1989). Other interesting developments have been the wave optics description of Latimer and Crouse (1992), the simplified expressions of Arrizon et al (2000) and the phase space analysis of Testorf and Ojeda-Castaneda (1996).…”

Section: Introductionmentioning

confidence: 99%

The grating projection system: a laser light pattern projection technique for long distance illumination based on the Talbot effect

Castagner¹,

Jones²

2003

J. Phys. D: Appl. Phys.

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Inspired by the Talbot effect, a grating projection system was designed. Periodic patterns were produced from a projection of a diffraction grating illuminated by a spherical wave of monochromatic coherent light. The diffracted light was collimated by a lens, the focal distance of which was at the centre of the incident spherical wave. Experiments demonstrated that the diffracted orders were also spherical waves centred on the same transverse plane as the incident light. The periodic illumination observed at different locations along the optic axis was proven to be the result of interference between the diffracted orders. It was demonstrated that this system could be used to measure velocities up to 20 m s−1 of particles crossing the fringes at distances up to 3 m.

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Fractional Talbot Effect: Compact Description

Cited by 11 publications

References 15 publications

Plasmon-controlled fluorescence: a new paradigm in fluorescence spectroscopy

Plasmon-controlled fluorescence: a new paradigm in fluorescence spectroscopy

Diffraction of bessel beams on 2D amplitude gratings—a new branch in the talbot effect study

The grating projection system: a laser light pattern projection technique for long distance illumination based on the Talbot effect

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