Gabor superlens with variable focus

Fig. 5. Simulation of GSL with an array of micro-tunable liquid lens with $V = 115 V$ and a radius of curvature of −0.061 in the middle surface of the third array.

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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 ( $V$ ) and a radius of curvature ( $r_{c}$ ) in the middle surface of the third array: (a) $V = 0 V$ and $r_{c} = \infty$ , (b) $V = 100 V$ and $r_{c} = - 0.204$ , (c) $V = 105 V$ and $r_{c} = - 0.117$ , (d) $V = 110 V$ and $r_{c} = - 0.081$ , and (e) $V = 115 V$ and $r_{c} = - 0.061$ .

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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).

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Fig. 8. Zoom of the ray tracing at the detector (image plane) of the GSL system with (a) $V = 100 V$ and $r_{c} = - 0.204$ , and (b) $V = 115 V$ and $r_{c} = - 0.061$ . 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.

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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 $r_{c}$ and Gabor Focal Length Is $F$ ^a

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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 $r_{c}$ and Gabor Focal Length Is $F$ ^a

Corresponding Lens	Surface #	Radius of Curvature $R_{c}$ (μm)	Thickness $t$ (μm)	Refractive Index ( $n_{i}$ )	Pitch (μm)
Object	1	$\infty$
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	$\infty$	10	1.529440	66
	7	$r_{c}$	10	1.337774
	8	−100	422	1.000000
Image Plane	9	$\infty$	$F$

Table 2. Peak Incoherent Irradiance Distribution for Each Voltage
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Table 2. Peak Incoherent Irradiance Distribution for Each Voltage
Voltage $(V)$ Peak Incoherent Irradiance [ ${(W / cm)}^{2}$ ]
0 $1.050 \times 10^{7}$
100 $1.600 \times 10^{7}$
105 $3.000 \times 10^{7}$
110 $6.650 \times 10^{7}$
115 $2.855 \times 10^{8}$

Table 3. Radius of Curvature ( $r_{c}$ ), Focal Length of the Doublets $f$ , and Gabor Focal Length ( $F$ ) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V
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Table 3. Radius of Curvature ( $r_{c}$ ), Focal Length of the Doublets $f$ , and Gabor Focal Length ( $F$ ) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V
Voltage ( $V$ ) Radius of Curvature $r_{c}$ (mm) Focal Length of the Doublets $f$ (mm) Gabor Focal Length $F$ (mm)
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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A. Garza-Rivera, J. E. Gómez-Correa, F. J. Renero-Carrillo, J. P. Trevino, V. Coello, "Gabor superlens with variable focus," Chin. Opt. Lett. 18, 122201 (2020)

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Paper Information

Category: Optical Design and Fabrication

Received: Jun. 19, 2020

Accepted: Aug. 11, 2020

Published Online: Oct. 9, 2020

The Author Email: J. E. Gómez-Correa (jesusg@cicese.mx)

DOI:10.3788/COL202018.122201

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Optical Parameters of the GSL System When the Second Radius of Curvature of the Liquid Micro-Tunable Lens Is rc and Gabor Focal Length Is Fa

Table 1. Optical Parameters of the GSL System When the Second Radius of Curvature of the Liquid Micro-Tunable Lens Is rc and Gabor Focal Length Is Fa

Table 2. Peak Incoherent Irradiance Distribution for Each Voltage

Table 2. Peak Incoherent Irradiance Distribution for Each Voltage

Table 3. Radius of Curvature (rc), Focal Length of the Doublets f, and Gabor Focal Length (F) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V

Table 3. Radius of Curvature (rc), Focal Length of the Doublets f, and Gabor Focal Length (F) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V

Table 1. Optical Parameters of the GSL System When the Second Radius of Curvature of the Liquid Micro-Tunable Lens Is $r_{c}$ and Gabor Focal Length Is $F$ ^a

Table 1. Optical Parameters of the GSL System When the Second Radius of Curvature of the Liquid Micro-Tunable Lens Is $r_{c}$ and Gabor Focal Length Is $F$ ^a

Table 3. Radius of Curvature ( $r_{c}$ ), Focal Length of the Doublets $f$ , and Gabor Focal Length ( $F$ ) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V

Table 3. Radius of Curvature ( $r_{c}$ ), Focal Length of the Doublets $f$ , and Gabor Focal Length ( $F$ ) of the GSL System as Functions of the Change of Voltage from 100 V to 115 V