2021
DOI: 10.1088/1361-6463/abe66b
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Generalized perfect optical vortices along arbitrary trajectories

Abstract: Perfect optical vortices (POVs) arevortex beams with infinitely narrow rings and fixed radii independent of their topological charges. Here we propose the concept of generalized POVs (GPOVs) along arbitrary curves beyond the regular shapes of circles and ellipses. GPOVs share similar properties to POVs, such as defined only along infinitely narrow curves and owning topological charges independent of scale. Using a rigorous mathematical derivation in a curvilinear coordinate, we reveal theoretically that the GP… Show more

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Cited by 13 publications
(4 citation statements)
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“…A detailed comparison among them is provided in Table 1 in Supplementary Materials, suggesting that our meta-imager has superior performances, such as arbitrary convolutional operation, high integration, tunable magnification, and high accuracy. For light with other states of polarization, the complex amplitude in our meta-imager might be realized by using a pure-amplitude or pure-phase spatial light modulator with carefully designed encoding technique 50,51 . However, it will lead to increased volume, decreased efficiency, low spatial resolution, and low detection quality.…”
Section: Discussionmentioning
confidence: 99%
“…A detailed comparison among them is provided in Table 1 in Supplementary Materials, suggesting that our meta-imager has superior performances, such as arbitrary convolutional operation, high integration, tunable magnification, and high accuracy. For light with other states of polarization, the complex amplitude in our meta-imager might be realized by using a pure-amplitude or pure-phase spatial light modulator with carefully designed encoding technique 50,51 . However, it will lead to increased volume, decreased efficiency, low spatial resolution, and low detection quality.…”
Section: Discussionmentioning
confidence: 99%
“…Here, the BG vortex beam is usually created by a computer-controlled liquid-crystal spatial light modulator (SLM) [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] or digital micromirror device (DMD) [35], a special designed hybrid phase plate [36], a transparent variable diffractive spiral axicon based on a single liquid-crystal cell [37], polymer-based phase plate [38], metasurface [39], Pancharatnam-Berry phase element [40], axicon [41][42][43], or diffraction of the BG vortex beam by using curved fork grating [44], and so on. In addition, the PVB can be directly generated by schemes including a computer-generated hologram (CGH) displayed on the reflective phase SLM [45][46][47][48] or the DMD [49,50], a radial phase shift spiral zone plate [51,52], a planar Pancharatnam-Berry (PB) phase element [53], or metasurfaces [54][55][56][57][58][59][60][61][62], etc. Recently, the ...…”
Section: Introductionmentioning
confidence: 99%
“…However, to implement full control of the beam structure, iterative or non-iterative algorithms for calculating the transmission functions of optical elements, such as diffractive optical elements (DOEs) or metasurfaces [22], should be used. In the case of the generation of two-dimensional fields, methods based on the use of two-phase DOEs calculated using the Fourier transform [9] or a rigorous mathematical derivation in the curvilinear coordinate were used [23]. Various amplitude encoding techniques combined with discrete inverse Fourier transform are also widely used to provide full intensity and phase control.…”
Section: Introductionmentioning
confidence: 99%