Optical design and evaluation of Alvarez-type vision-training system

Wei Lou; Dewen Cheng; Luo Gu; Weihong Hou; Yongtian Wang

doi:doi:10.3788/COL201816.072201

Chinese Optics Letters, 2018, 16 (7): 072201, Published Online: Jul. 19, 2018

Optical design and evaluation of Alvarez-type vision-training system Download： 748次

Wei Lou ¹Dewen Cheng ^1,*Luo Gu ¹Weihong Hou ²Yongtian Wang ¹

Author Affiliations

¹ School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

² Beijing NED+ Ltd., Beijing 100081, China

Figures & Tables

Fig. 1. Schematic diagram of Alvarez vision-training system with three different configurations.

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Fig. 2. Distributions of (a) dioptric power and (b) astigmatism for one lens of the Alvarez system.

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Fig. 3. Distributions of dioptric power (left) and astigmatism (right) of the optimized Alvarez system. In (a) and (b), $Δ d = - 5 mm$ , $P = - 10 D$ . In (c) and (d), $Δ d = 0 mm$ , $P = - 4 D$ . In (e) and (f), $Δ d = 5 mm$ , $P = 2 D$ .

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Fig. 4. Schematic diagram of the light from FOVs intersecting the surfaces with three configurations.

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Fig. 5. Distributions of dioptric power (left) and astigmatism (right) across FOVs of the initial Alvarez system at the evaluation point (0, 0). The distributions are based on (a) $P_{s} (fov, e_{0})$ and (b) $A_{s} (fov, e_{0})$ , where $P = - 10 D$ ; (c) $P_{s} (fov, e_{0})$ and (d) $A_{s} (fov, e_{0})$ , where $P = - 4 D$ ; (e) $P_{s} (fov, e_{0})$ and (f) $A_{s} (fov, e_{0})$ , where $P = 2 D$ , respectively.

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Fig. 6. Dioptric power distributions across FOVs of the optimized Alvarez system at the evaluation points (0, 0) (left) and (3, 0) (right). The distributions are based on (a) $P_{s} (fov, e_{0})$ and (b) $P_{s} (fov, e_{1})$ , where $P = - 10 D$ ; (c) $P_{s} (fov, e_{0})$ and (d) $P_{s} (fov, e_{1})$ , where $P = - 4 D$ ; (e) $P_{s} (fov, e_{0})$ and (f) $P_{s} (fov, e_{1})$ , where $P = 2 D$ , respectively.

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Fig. 7. Astigmatism distributions across FOVs of the optimized Alvarez system at the evaluation points (0, 0) (left) and (3, 0) (right). The distributions are based on (a) $A_{s} (fov, e_{0})$ and (b) $A_{s} (fov, e_{1})$ , where $P = - 10 D$ ; (c) $A_{s}$ (fov, $e_{0}$ ) and (d) $A_{s} (fov, e_{1})$ , where $P = - 4 D$ ; (e) $A_{s} (fov, e_{0})$ and (f) $A_{s} (fov, e_{1})$ , where $P = 2 D$ , respectively.

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Table1. Initial System Parameters

Parameter	L₁	L₂
$R$ (mm)	25	25
$r$ (mm)	$- 250$	250
$c_{2}$	1.0000	1.0000
$c_{7}$	1.5625	1.5625
$c_{8}$	$- 1.5625$	$- 1.5625$

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Table2. Optimized System Parameters

Parameter	L₁	L₂
$R$ (mm)	25	25
$r$ (mm)	$- 173.6265$	173.6416
$c_{1}$	0.3534	$- 1.045$
$c_{2}$	$- 2.5000$	$- 2.5000$
$c_{3}$	$- 2.2894$	$- 2.4998$
$c_{4}$	0.4354	0.8663
$c_{5}$	$- 0.0585$	$- 0.6200$
$c_{6}$	$- 0.0214$	0.0008
$c_{7}$	1.3823	1.0992
$c_{8}$	$- 1.4839$	$- 1.4639$
$c_{9}$	$- 1.7909$	$- 1.9615$
$c_{10}$	1.7165	1.9533
$c_{11}$	$- 0.0765$	$- 0.3459$
$c_{12}$	0.1535	0.2997
$c_{13}$	$- 0.1117$	$- 0.1221$
$c_{14}$	$- 0.0043$	0.0035
$c_{15}$	0.0090	$- 0.0023$
$c_{16}$	0.1342	0.2628
$c_{17}$	$- 0.0454$	$- 0.1387$
$c_{18}$	0.0269	0.0430
$c_{19}$	$- 0.4926$	$- 0.5321$
$c_{20}$	0.4681	0.5334
$c_{21}$	$- 0.4379$	$- 0.5455$

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Wei Lou, Dewen Cheng, Luo Gu, Weihong Hou, Yongtian Wang. Optical design and evaluation of Alvarez-type vision-training system[J]. Chinese Optics Letters, 2018, 16(7): 072201.

Optical design and evaluation of Alvarez-type vision-training system Download： 748次

Fig. 1. Schematic diagram of Alvarez vision-training system with three different configurations.

Fig. 2. Distributions of (a) dioptric power and (b) astigmatism for one lens of the Alvarez system.

Fig. 3. Distributions of dioptric power (left) and astigmatism (right) of the optimized Alvarez system. In (a) and (b), $Δ d = - 5 mm$ , $P = - 10 D$ . In (c) and (d), $Δ d = 0 mm$ , $P = - 4 D$ . In (e) and (f), $Δ d = 5 mm$ , $P = 2 D$ .

Fig. 4. Schematic diagram of the light from FOVs intersecting the surfaces with three configurations.

Table1. Initial System Parameters

Table2. Optimized System Parameters

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Optical design and evaluation of Alvarez-type vision-training system Download： 748次

Fig. 1. Schematic diagram of Alvarez vision-training system with three different configurations.

Fig. 2. Distributions of (a) dioptric power and (b) astigmatism for one lens of the Alvarez system.

Fig. 3. Distributions of dioptric power (left) and astigmatism (right) of the optimized Alvarez system. In (a) and (b), Δd=−5 mm, P=−10 D. In (c) and (d), Δd= 0 mm, P=−4 D. In (e) and (f), Δd= 5 mm, P= 2 D.

Fig. 4. Schematic diagram of the light from FOVs intersecting the surfaces with three configurations.

Table1. Initial System Parameters

Table2. Optimized System Parameters

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Fig. 3. Distributions of dioptric power (left) and astigmatism (right) of the optimized Alvarez system. In (a) and (b), $Δ d = - 5 mm$ , $P = - 10 D$ . In (c) and (d), $Δ d = 0 mm$ , $P = - 4 D$ . In (e) and (f), $Δ d = 5 mm$ , $P = 2 D$ .