Optical performance simulation of free-form optics for an eye implant based on a measurement data enhanced model

Ingo Sieber; Likai Li; Ulrich Gengenbach; Erik Beckert; Ralf Steinkopf; Allen Y. Yi

doi:10.1364/AO.55.006671

Applied Optics
Vol. 55,
Issue 24,
pp. 6671-6679
(2016)
•https://doi.org/10.1364/AO.55.006671

Optical performance simulation of free-form optics for an eye implant based on a measurement data enhanced model

Ingo Sieber, Likai Li, Ulrich Gengenbach, Erik Beckert, Ralf Steinkopf, and Allen Y. Yi

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Ingo Sieber, Likai Li, Ulrich Gengenbach, Erik Beckert, Ralf Steinkopf, and Allen Y. Yi, "Optical performance simulation of free-form optics for an eye implant based on a measurement data enhanced model," Appl. Opt. 55, 6671-6679 (2016)

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Table of Contents Category
- Optical Design and Fabrication
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About this Article
History
- Original Manuscript: April 28, 2016
- Revised Manuscript: July 26, 2016
- Manuscript Accepted: July 27, 2016
- Published: August 17, 2016

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Abstract

This paper describes the application of a modeling approach for precise optical performance prediction of free-form optics-based subsystems on a demonstration model of an eye implant. The simulation model is enhanced by surface data measured on the free-form lens parts. The manufacturing of the free-form lens parts is realized by two different manufacturing processes: ultraprecision diamond machining and microinjection molding. Evaluation of both processes is conducted by a simulation of the optical performance on the basis of their surface measurement comparisons with the nominal geometry. The simulation results indicate that improvements from the process optimization of microinjection molding were obtained for the best manufacturing accuracy.

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Parameter	Setting
Field of view	Adjusted to the foveal view of the human eye
Range of refraction power	4.6 D
Fail-safe mode	Myopic sight of 0.25 D
Total thickness of the joined housing	9.5 mm
Housing material	BF33/B270
Min. wall thickness of the housing	250 μm
Material of free-form optics	PMMA
Min. thickness of free-form lens	100 μm
Actuation stroke of free-form optics	180 μm

Surface Function $z (x, y) = a_{1} x^{4} + a_{2} x^{3} y + a_{3} x^{2} y^{2} + a_{4} x y^{3} + a_{5} y^{4} + a_{6} x^{3} + a_{7} x^{2} y + a_{8} x y^{2} + a_{9} y^{3} + a_{10} x^{2} + a_{11} x y + a_{12} y^{2} + a_{13} x + a_{14} y$
Surface	Parameter		RMS [μm]	Mean Error [E-16 μm]
Injection-molded surface	$a_{1} = 1.139 E - 04$ $a_{5} = - 8.416 E - 05$ $a_{7} = 0.01832$ $a_{8} = - 9.148 E - 05$ $a_{9} = 6.636 E - 03$	$a_{10} = 1.335 E - 04$ $a_{11} = 2.688 E - 04$ $a_{12} = 1.184 E - 04$ $a_{14} = 2.915 E - 03$	0.105	−1.28
Diamond-turned surface	$a_{1} = - 1.929 E - 05$ $a_{2} = - 4.529 E - 05$ $a_{3} = - 1.730 E - 05$ $a_{5} = - 2.906 E - 05$ $a_{6} = - 9.790 E - 06$ $a_{7} = 0.01961$ $a_{8} = 4.438 E - 05$	$a_{9} = 6.283 E - 03$ $a_{10} = - 6.996 E - 04$ $a_{11} = 9.538 E - 05$ $a_{12} = 1.260 E - 04$ $a_{13} = - 4.744 E - 05$ $a_{14} = 1.260 E - 04$	0.203	−1.20

Refraction Power [D]	MTF Nominal	MTF μIM	MTF DL	Relative MTF μIM	Relative MTF DL
0	0.34	0.2	0.34	0.59	0.99
0.25	0.49	0.43	0.48	0.88	1.00
1.5	0.66	0.64	0.65	0.97	0.98
2.75	0.63	0.54	0.63	0.86	1.01
3.8	0.55	0.43	0.54	0.78	0.99

Surface Function $z (x, y) = a_{1} x^{4} + a_{2} x^{3} y + a_{3} x^{2} y^{2} + a_{4} x y^{3} + a_{5} y^{4} + a_{6} x^{3} + a_{7} x^{2} y + a_{8} x y^{2} + a_{9} y^{3} + a_{10} x^{2} + a_{11} x y + a_{12} y^{2} + a_{13} x + a_{14} y$
Surface	Parameter		RMS [μm]	Mean Error [E-16 μm]
μIM/comp	$a_{1} = - 3.182 E - 06$ $a_{2} = - 3.180 E - 05$ $a_{3} = - 1.482 E - 04$ $a_{5} = 5.137 E - 05$ $a_{6} = - 1.911 E - 05$ $a_{7} = 0.0195$	$a_{8} = 6.796 E - 05$ $a_{9} = 6.396 E - 03$ $a_{10} = 1.335 E - 04$ $a_{11} = 1.235 E - 04$ $a_{12} = 8.923 E - 05$ $a_{13} = - 1.675 E - 05$ $a_{14} = 1.235 E - 04$	0.147	−0.85

Refraction Power [D]	MTF Nominal	MTF μIM/comp	MTF DL	Relative MTF μIM/comp	Relative MTF DL
0	0.34	0.34	0.34	1.00	0.99
0.25	0.49	0.47	0.48	0.98	1.00
1.5	0.66	0.65	0.65	0.98	0.98
2.75	0.63	0.63	0.63	1.01	1.01
3.8	0.55	0.55	0.54	1.00	0.99

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Applied Optics