2017
DOI: 10.1364/oe.25.022640
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Segmented Bessel beams

Abstract: We investigate segmented Bessel beams that are created by placing different ring apertures behind an axicon that is illuminated with a plane wave. We find an analytical estimate to determine the shortest possible beam segment by deriving a scale-invariant analytical model using appropriate dimensionless parameters such as the wavelength and the axicon angle. This is verified using simulations and measurements, which are in good agreement. The size of the ring apertures was varied from small aperture sizes in t… Show more

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Cited by 15 publications
(7 citation statements)
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“…However, it is difficult to achieve a collimated light sheet with a thickness below a few hundred microns, due to fundamental diffraction limit associated with collimating to a small beam diameter [28]. It is also not possible to facilitate the propagation of a segmented Bessel beam [29], due to the curved geometry and the initial air-to-glass aperture breaking the phase conditions. To approximate a collimated light sheet with minimized sheet thickness and divergence angle, a cylindrical plano-convex lens can be used after a collimator plano-convex lens.…”
Section: Principlesmentioning
confidence: 99%
“…However, it is difficult to achieve a collimated light sheet with a thickness below a few hundred microns, due to fundamental diffraction limit associated with collimating to a small beam diameter [28]. It is also not possible to facilitate the propagation of a segmented Bessel beam [29], due to the curved geometry and the initial air-to-glass aperture breaking the phase conditions. To approximate a collimated light sheet with minimized sheet thickness and divergence angle, a cylindrical plano-convex lens can be used after a collimator plano-convex lens.…”
Section: Principlesmentioning
confidence: 99%
“…Then, the relevant parameter to engineer the length z B of the Bessel beam (irrespective of its diameter) is the width e of the annular slit. Even if straightforward application of geometrical optics ( z B = e /tan θ) can help for dimensioning purposes, accurate analytical estimations [ 36 ] or numerical calculations [ 38 ] are required to set the optimal value of e , since strong modulations of intensity along Z may occur due to diffraction effects caused by such beam truncation. In our conditions, the optimal aperture of the annular slit is e = 420 µm, enabling to obtain a “focal line” of length z B = 21 µm with a smooth intensity profile along Z and a core diameter (= first zero of intensity of the Bessel function) of 0.90 µm FWHM.…”
Section: Methodsmentioning
confidence: 99%
“…Without the annular aperture, the beam intensity distribution shows a long central intense core surrounded by concentric lobes, as expected for a typical Bessel beam generated by such a technique (Figure 1b, 1 st row). Now, introducing the annular aperture truncates the length of the Bessel beam [ 36 ] (Figure 1b, 2 nd row). In addition, by masking the tip of the axicon, this technologically‐simple technique also offers the advantage of filtering out its fabrication imperfections, responsible of nonideal tapered shape of the obtained non‐truncated Bessel beams, [ 37 ] as observed experimentally (Figure 1b, 1 st row).…”
Section: Methodsmentioning
confidence: 99%
“…We assume the typical case that the distance z 0 between axial beam center position and hologram position is larger than the beam length Δz. Then the transmission function T(x,y) and the amplitude A(x,y) of the hologram have an annular shape [30,31]: . The magnification of the illumination system has been set to M ill = 1 in order to keep things simple.…”
Section: Basic Prinmentioning
confidence: 99%