Minimization of diffraction peaks of spatial light modulators using Voronoi diagrams

Benoît-Pasanau, Céline; Goudail, François; Chavel, Pierre; Cano, Jean-Paul; Ballet, Jérôme

doi:10.1364/oe.18.015223

Cited by 7 publications

(6 citation statements)

References 9 publications

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“…We notice that the order 1 decreases with a and then stabilizes to a constant value. This evolution is similar to what was observed in [9], where we have studied diffraction by the walls of the SLM (without phase function implemented). The only difference is that, in that case, after a first minimum for a ¼ 1:27, the curve increases again (the first-order peak reappears) and reaches local minima around −60 dB for a ¼ l with l integer and l ≥ 2.…”

Section: Pixelation By Voronoi Diagramssupporting

confidence: 84%

“…In order to have the same maximal slope value as in the case of the pixelated lens, we differentiate Eqs. (1) and (9), and, for λ ¼ 0:5 μm and f ¼ 2 m, we obtain A coma ¼ 8π 7 . In Fig. 14, we present the structure of the SLMs pixelated with the regular grid, with the isophases, and with the Voronoi techniques, and the phase function encoded on them.…”

Section: A Correction Of Astigmatismmentioning

confidence: 65%

“…In the present work, as opposed to Ref. [9], the walls between pixels are neglected, which means they are considered infinitely thin.…”

Section: Introductionmentioning

confidence: 99%

“…We study and compare two ways to implement this idea: the so-called isophases and the Voronoi diagrams. The Voronoi technique already showed its capability to reduce diffraction peaks when only the diffraction by the walls between the pixels is taken into account [9]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [9], we considered periodic or nonperiodic arrangements of pixels but with one and the same uniform phase in all pixels. In the present work, we extend the investigation to the practically more important case where a phase function is encoded onto the SLM.…”

Section: Introductionmentioning

confidence: 99%

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Reducing the diffraction artifacts while implementing a phase function on a spatial light modulator

et al. 2011

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Spatial light modulators are often used to implement phase modulation. Since they are pixelated, the phase function is usually approximated by a regularly sampled piecewise constant function, and the periodicity of the pixel sampling generates annoying diffraction peaks. We theoretically investigate two pixelation techniques: the isophase method and a new nonperiodic method derived from the Voronoi tessellation technique. We show that, for a suitable choice of parameters, the diffraction peaks disappear and are replaced by a smoothly varying halo. We illustrate the potential of these two techniques for implementing a lens function and wavefront correction.

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Section: Pixelation By Voronoi Diagramssupporting

confidence: 84%

Section: A Correction Of Astigmatismmentioning

confidence: 65%

“…In the present work, as opposed to Ref. [9], the walls between pixels are neglected, which means they are considered infinitely thin.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Reducing the diffraction artifacts while implementing a phase function on a spatial light modulator

et al. 2011

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Improved wavefront estimation accuracy in a programmable grating array based wavefront sensor

Pathak

2021

J. Opt.

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Shack–Hartmann wavefront sensor (SHWS) is one of the popular zonal wavefront sensor that typically consists of a two-dimensional (2D) array of lenslets and a camera. Another variant of a zonal wavefront sensor is the programmable grating array based wavefront sensor (PGAWS) that replaces the lenslets array of the SHWS with a 2D array of programmable diffraction gratings and a single focusing lens to result in a 2D array of +1 order spots. The ability of a PGAWS to correctly measure the incident wavefront depends on the accuracy with which each +1 order spot centroid position in the camera plane is calculated. However, in practical applications the intensities of the +1 order spots are usually non-uniform and there is presence of higher order spots that lead to erroneous calculation of the centroid position. In the present work, an improved PGAWS is proposed and by exploiting its programmable facility the transmittance function of the grating array is defined to generate an array of uniform intensity +1 order spots with negligible contribution from unwanted higher order spots by breaking them into noise. We present proof-of-concept simulation results that illustrate the generation of uniform intensity +1 order spots and also quantify its uniformity numerically by defining a quality metric. Furthermore, the working of the proposed PGAWS is substantiated through simulation results which demonstrate its accurate wavefront estimation capability in comparison to the conventional PGAWS, in the presence of non-uniform intensity +1 order spots.

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Computational augmented reality eyeglasses

Maimone

Fuchs

2013

2013 IEEE International Symposium on Mixed and Augmented Reality (ISMAR)

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Minimization of diffraction peaks of spatial light modulators using Voronoi diagrams

Cited by 7 publications

References 9 publications

Reducing the diffraction artifacts while implementing a phase function on a spatial light modulator

Reducing the diffraction artifacts while implementing a phase function on a spatial light modulator

Improved wavefront estimation accuracy in a programmable grating array based wavefront sensor

Computational augmented reality eyeglasses

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