Design method of surface contour for a freeform lens with wide linear field-of-view |
Optics Express, Vol. 21, Issue 22, pp. 26080-26092 (2013)
http://dx.doi.org/10.1364/OE.21.026080
Acrobat PDF (1944 KB)
Abstract
In this paper, a design method of surface contour for a freeform imaging lens with a wide linear field-of-view (FOV) is developed. During the calculation of the data points on the unknown freeform surfaces, the aperture size and different field angles of the system are both considered. Meanwhile, two special constraints are employed to find the appropriate points that can generate a smooth and accurate surface contour. The surfaces obtained can be taken as the starting point for further optimization. An f-θ single lens with a ± 60° linear FOV has been designed as an example of the proposed method. After optimization with optical design software, the MTF of the lens is close to the diffraction limit and the scanning error is less than 1μm. This result proves that good image quality and scanning linearity were achieved.
© 2013 Optical Society of America
1. Introduction
1. D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48(14), 2655–2668 (2009). [CrossRef] [PubMed]
3. Z. Zheng, X. Liu, H. Li, and L. Xu, “Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface,” Appl. Opt. 49(19), 3661–3668 (2010). [CrossRef] [PubMed]
4. K. Garrard, T. Bruegge, J. Hoffman, T. Dow, and A. Sohn, “Design tools for free form optics,” Proc. SPIE 5874, 58740A, 58740A-11 (2005). [CrossRef]
10. T. Ma, J. Yu, P. Liang, and C. Wang, “Design of a freeform varifocal panoramic optical system with specified annular center of field of view,” Opt. Express 19(5), 3843–3853 (2011). [CrossRef] [PubMed]
11. L. Li and A. Y. Yi, “Design and fabrication of a freeform microlens array for a compact large-field-of-view compound-eye camera,” Appl. Opt. 51(12), 1843–1852 (2012). [CrossRef] [PubMed]
1. D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48(14), 2655–2668 (2009). [CrossRef] [PubMed]
2. Q. Wang, D. Cheng, Y. Wang, H. Hua, and G. Jin, “Design, tolerance, and fabrication of an optical see-through head-mounted display with free-form surface elements,” Appl. Opt. 52(7), C88–C99 (2013). [CrossRef] [PubMed]
10. T. Ma, J. Yu, P. Liang, and C. Wang, “Design of a freeform varifocal panoramic optical system with specified annular center of field of view,” Opt. Express 19(5), 3843–3853 (2011). [CrossRef] [PubMed]
12. G. D. Wassermann and E. Wolf, “On the Theory of Aplanatic Aspheric Systems,” Proc. Phys. Soc. B 62(1), 2–8 (1949). [CrossRef]
14. D. Cheng, Y. Wang, and H. Hua, “Free form optical system design with differential equations,” Proc. SPIE 7849, 78490Q, 78490Q-8 (2010). [CrossRef]
15. J. C. Miñano, P. Benítez, W. Lin, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17(26), 24036–24044 (2009). [CrossRef] [PubMed]
16. F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20(5), 5576–5585 (2012). [CrossRef] [PubMed]
2. Method
2.1 The feature rays for calculating the data points on the unknown surface
2.2 Establishing the constraints to generate a smooth link line of the points
2.3 Calculating the data points on the unknown freeform surface
17. Y. Wang and H. H. Hopkins, “Ray-tracing and aberration formulae for a general optical system,” J. Mod. Opt. 39(9), 1897–1938 (1992). [CrossRef]
3. Design example: A freeform f-θ single lens
3.1 Designing the starting point of the system
3.2 Optimization of the starting point
1. D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48(14), 2655–2668 (2009). [CrossRef] [PubMed]
3. Z. Zheng, X. Liu, H. Li, and L. Xu, “Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface,” Appl. Opt. 49(19), 3661–3668 (2010). [CrossRef] [PubMed]
6. O. Cakmakci and J. Rolland, “Design and fabrication of a dual-element off-axis near-eye optical magnifier,” Opt. Lett. 32(11), 1363–1365 (2007). [CrossRef] [PubMed]
10. T. Ma, J. Yu, P. Liang, and C. Wang, “Design of a freeform varifocal panoramic optical system with specified annular center of field of view,” Opt. Express 19(5), 3843–3853 (2011). [CrossRef] [PubMed]
14. D. Cheng, Y. Wang, and H. Hua, “Free form optical system design with differential equations,” Proc. SPIE 7849, 78490Q, 78490Q-8 (2010). [CrossRef]
1. D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48(14), 2655–2668 (2009). [CrossRef] [PubMed]
3. Z. Zheng, X. Liu, H. Li, and L. Xu, “Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface,” Appl. Opt. 49(19), 3661–3668 (2010). [CrossRef] [PubMed]
4. Conclusion
Acknowledgment
References and links
1. | D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt. 48(14), 2655–2668 (2009). [CrossRef] [PubMed] |
2. | Q. Wang, D. Cheng, Y. Wang, H. Hua, and G. Jin, “Design, tolerance, and fabrication of an optical see-through head-mounted display with free-form surface elements,” Appl. Opt. 52(7), C88–C99 (2013). [CrossRef] [PubMed] |
3. | Z. Zheng, X. Liu, H. Li, and L. Xu, “Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface,” Appl. Opt. 49(19), 3661–3668 (2010). [CrossRef] [PubMed] |
4. | K. Garrard, T. Bruegge, J. Hoffman, T. Dow, and A. Sohn, “Design tools for free form optics,” Proc. SPIE 5874, 58740A, 58740A-11 (2005). [CrossRef] |
5. | R. A. Hicks, “Direct methods for freeform surface design,” Proc. SPIE 6668, 666802, 666802-10 (2007). [CrossRef] |
6. | O. Cakmakci and J. Rolland, “Design and fabrication of a dual-element off-axis near-eye optical magnifier,” Opt. Lett. 32(11), 1363–1365 (2007). [CrossRef] [PubMed] |
7. | L. Xu, K. Chen, Q. He, and G. Jin, “Design of freeform mirrors in Czerny-Turner spectrometers to suppress astigmatism,” Appl. Opt. 48(15), 2871–2879 (2009). [CrossRef] [PubMed] |
8. | X. Zhang, L. Zheng, X. He, L. Wang, F. Zhang, S. Yu, G. Shi, B. Zhang, Q. Liu, and T. Wang, “Design and fabrication of imaging optical systems with freeform surfaces,” Proc. SPIE 8486, 848607, 848607-10 (2012). [CrossRef] |
9. | T. Hisada, K. Hirata, and M. Yatsu, “Projection type image display apparatus,” U.S. Patent, 7,701,639 (April 20, 2010). |
10. | T. Ma, J. Yu, P. Liang, and C. Wang, “Design of a freeform varifocal panoramic optical system with specified annular center of field of view,” Opt. Express 19(5), 3843–3853 (2011). [CrossRef] [PubMed] |
11. | L. Li and A. Y. Yi, “Design and fabrication of a freeform microlens array for a compact large-field-of-view compound-eye camera,” Appl. Opt. 51(12), 1843–1852 (2012). [CrossRef] [PubMed] |
12. | G. D. Wassermann and E. Wolf, “On the Theory of Aplanatic Aspheric Systems,” Proc. Phys. Soc. B 62(1), 2–8 (1949). [CrossRef] |
13. | D. Knapp, “Conformal Optical Design,” Ph.D. Thesis, University of Arizona (2002). |
14. | D. Cheng, Y. Wang, and H. Hua, “Free form optical system design with differential equations,” Proc. SPIE 7849, 78490Q, 78490Q-8 (2010). [CrossRef] |
15. | J. C. Miñano, P. Benítez, W. Lin, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17(26), 24036–24044 (2009). [CrossRef] [PubMed] |
16. | F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20(5), 5576–5585 (2012). [CrossRef] [PubMed] |
17. | Y. Wang and H. H. Hopkins, “Ray-tracing and aberration formulae for a general optical system,” J. Mod. Opt. 39(9), 1897–1938 (1992). [CrossRef] |
18. | 1stOpt Manual, 7D-Soft High Technology Inc. (2012). |
19. | Code V Reference Manual, Synopsys Inc. (2012). |
OCIS Codes
(220.2740) Optical design and fabrication : Geometric optical design
(080.4225) Geometric optics : Nonspherical lens design
ToC Category:
Optical Design and Fabrication
History
Original Manuscript: July 29, 2013
Revised Manuscript: October 16, 2013
Manuscript Accepted: October 16, 2013
Published: October 24, 2013
Citation
Jun Zhu, Tong Yang, and Guofan Jin, "Design method of surface contour for a freeform lens with wide linear field-of-view," Opt. Express 21, 26080-26092 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-22-26080
Sort: Year | Journal | Reset
References
- D. Cheng, Y. Wang, H. Hua, and M. M. Talha, “Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism,” Appl. Opt.48(14), 2655–2668 (2009). [CrossRef] [PubMed]
- Q. Wang, D. Cheng, Y. Wang, H. Hua, and G. Jin, “Design, tolerance, and fabrication of an optical see-through head-mounted display with free-form surface elements,” Appl. Opt.52(7), C88–C99 (2013). [CrossRef] [PubMed]
- Z. Zheng, X. Liu, H. Li, and L. Xu, “Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface,” Appl. Opt.49(19), 3661–3668 (2010). [CrossRef] [PubMed]
- K. Garrard, T. Bruegge, J. Hoffman, T. Dow, and A. Sohn, “Design tools for free form optics,” Proc. SPIE5874, 58740A, 58740A-11 (2005). [CrossRef]
- R. A. Hicks, “Direct methods for freeform surface design,” Proc. SPIE6668, 666802, 666802-10 (2007). [CrossRef]
- O. Cakmakci and J. Rolland, “Design and fabrication of a dual-element off-axis near-eye optical magnifier,” Opt. Lett.32(11), 1363–1365 (2007). [CrossRef] [PubMed]
- L. Xu, K. Chen, Q. He, and G. Jin, “Design of freeform mirrors in Czerny-Turner spectrometers to suppress astigmatism,” Appl. Opt.48(15), 2871–2879 (2009). [CrossRef] [PubMed]
- X. Zhang, L. Zheng, X. He, L. Wang, F. Zhang, S. Yu, G. Shi, B. Zhang, Q. Liu, and T. Wang, “Design and fabrication of imaging optical systems with freeform surfaces,” Proc. SPIE8486, 848607, 848607-10 (2012). [CrossRef]
- T. Hisada, K. Hirata, and M. Yatsu, “Projection type image display apparatus,” U.S. Patent, 7,701,639 (April 20, 2010).
- T. Ma, J. Yu, P. Liang, and C. Wang, “Design of a freeform varifocal panoramic optical system with specified annular center of field of view,” Opt. Express19(5), 3843–3853 (2011). [CrossRef] [PubMed]
- L. Li and A. Y. Yi, “Design and fabrication of a freeform microlens array for a compact large-field-of-view compound-eye camera,” Appl. Opt.51(12), 1843–1852 (2012). [CrossRef] [PubMed]
- G. D. Wassermann and E. Wolf, “On the Theory of Aplanatic Aspheric Systems,” Proc. Phys. Soc. B62(1), 2–8 (1949). [CrossRef]
- D. Knapp, “Conformal Optical Design,” Ph.D. Thesis, University of Arizona (2002).
- D. Cheng, Y. Wang, and H. Hua, “Free form optical system design with differential equations,” Proc. SPIE7849, 78490Q, 78490Q-8 (2010). [CrossRef]
- J. C. Miñano, P. Benítez, W. Lin, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express17(26), 24036–24044 (2009). [CrossRef] [PubMed]
- F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express20(5), 5576–5585 (2012). [CrossRef] [PubMed]
- Y. Wang and H. H. Hopkins, “Ray-tracing and aberration formulae for a general optical system,” J. Mod. Opt.39(9), 1897–1938 (1992). [CrossRef]
- 1stOpt Manual, 7D-Soft High Technology Inc. (2012).
- Code V Reference Manual, Synopsys Inc. (2012).
Cited By |
Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Figures
Fig. 1 | Fig. 2 | Fig. 3 |
Fig. 4 | Fig. 5 | Fig. 6 |
Fig. 7 | Fig. 8 | Fig. 9 |
Fig. 10 | Fig. 11 | Fig. 12 |
Fig. 13 | Fig. 14 | |
« Previous Article | Next Article »
OSA is a member of CrossRef.