A. Garza-Rivera1, J. E. Gómez-Correa2、*, F. J. Renero-Carrillo1, J. P. Trevino3, and V. Coello4
Author Affiliations
1INAOE, Departamento de Óptica, Tonantzintla, Puebla, 72840, Mexico2Catedras Conacyt – CICESE, Unidad Monterrey, PIIT Apodaca, Nuevo León, 66629, Mexico3Tecnológico de Monterrey, Campus Puebla, Departamento de Bioingeniería y Ciencias, Puebla, Puebla, 72453, Mexico4CICESE, Unidad Monterrey, PIIT Apodaca, Nuevo León, 66629, Mexicoshow less
Fig. 1. Microlens array of a Gabor superlens.
Fig. 2. Parameters of a liquid tunable lens that works by electrowetting.
Fig. 3. Micro-tunable lenses are placed in the third array (MLA3).
Fig. 4. Variation of the second radius of curvature produced by a voltage range between 0 V and 115 V.
Fig. 5. Simulation of GSL with an array of micro-tunable liquid lens with and a radius of curvature of −0.061 in the middle surface of the third array.
Fig. 6. Spot registered by the detector in the simulation of the GSL with an array of micro-tunable liquid lenses as MLA3 applying a voltage () and a radius of curvature () in the middle surface of the third array: (a) and , (b) and , (c) and , (d) and , and (e) and .
Fig. 7. Total Seidel aberration coefficients plotted for increasing values of the focal distance. Observe that the central channel with all aberrations is close to zero except for the spherical aberration, as shown in (a). Other channels show an increase of all aberration coefficients except for field curvature, as shown in (b) and (c).
Fig. 8. Zoom of the ray tracing at the detector (image plane) of the GSL system with (a) and , and (b) and . An apparent trade-off between transverse and longitudinal ray aberrations is observed as a zoom is performed close to the focal plane. This explains the behavior of the focal spot size as the focal distance varies.
Corresponding Lens | Surface # | Radius of Curvature (μm) | Thickness (μm) | Refractive Index () | Pitch (μm) |
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Object | 1 | | | | | MLA1 | 2 | 162 | 30 | 1.563840 | 100 | | 3 | −650 | 190 | 1.000000 | | MLA2 | 4 | 165 | 20 | 1.784720 | 84 | | 5 | −164 | 169 | 1.000000 | | MLA3 | 6 | | 10 | 1.529440 | 66 | | 7 | | 10 | 1.337774 | | | 8 | −100 | 422 | 1.000000 | | Image Plane | 9 | | | | |
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Table 1. Optical Parameters of the GSL System When the Second Radius of Curvature of the Liquid Micro-Tunable Lens Is and Gabor Focal Length Is a
Voltage | Peak Incoherent Irradiance [] |
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0 | | 100 | | 105 | | 110 | | 115 | |
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Table 2. Peak Incoherent Irradiance Distribution for Each Voltage
Voltage () | Radius of Curvature (mm) | Focal Length of the Doublets (mm) | Gabor Focal Length (mm) |
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100 | −0.204 | 0.2324 | 0.86 | 105 | −0.117 | 0.2025 | 0.87 | 110 | −0.081 | 0.1760 | 0.88 | 115 | −0.061 | 0.1543 | 0.89 |
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Table 3. Radius of Curvature (), Focal Length of the Doublets , and Gabor Focal Length () of the GSL System as Functions of the Change of Voltage from 100 V to 115 V