Abstract

A new optical design strategy for rotational aspheres using very few parameters is presented. It consists of using the SMS method to design the aspheres embedded in a system with additional simpler surfaces (such as spheres, parabolas or other conics) and optimizing the free-parameters. Although the SMS surfaces are designed using only meridian rays, skew rays have proven to be well controlled within the optimization. In the end, the SMS surfaces are expanded using Forbes series and then a second optimization process is carried out with these SMS surfaces as a starting point. The method has been applied to a telephoto lens design in the SWIR band, achieving ultra-compact designs with an excellent performance.

© 2012 OSA

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Corrections

Wang Lin, Pablo Benítez, Juan C. Miñano, José M. Infante, Guillermo Biot, Marta de la Fuente, and Asunción Santamaría, "SMS-based optimization strategy for ultra-compact SWIR telephoto lens design:erratum," Opt. Express 20, 11581-11581 (2012)
https://www.osapublishing.org/oe/abstract.cfm?uri=oe-20-10-11581

References

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  1. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1999).
  2. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, 1964).
  3. R. Winston, J. C. Miñano, and P. Benítez, with contributions of N. Shatz, J. Bortz, Nonimaging Optics, (Academic Press Elsevier, 2004), Chap. 8.
  4. J. Chaves, Introduction to Nonimaging Optics (CRC Press, 2008).
  5. P. Benítez and J. C. Miñano, “Ultrahigh-numerical-aperture imaging concentrator,” J. Opt. Soc. Am. A 14(8), 1988–1997 (1997).
    [CrossRef]
  6. 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]
  7. J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).
  8. G. W. Forbes, “Shape specification for axially symmetric optical surfaces,” Opt. Express 15(8), 5218–5226 (2007).
    [CrossRef] [PubMed]
  9. W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
    [CrossRef]
  10. L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
    [CrossRef]
  11. N. Orestes, Stavroudis, The mathematics of geometrical and physical optics (Wiley-VCH, 2006).
  12. R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE 7060, 70600E, 70600E-10 (2008).
    [CrossRef]
  13. C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
    [CrossRef]
  14. F. Bociort and M. van Turnhout, “Finding new local minima in lens design landscapes by constructing saddle points,” Opt. Eng. 48(6), 063001 (2009).
    [CrossRef]
  15. W. Ulrich, “Freeform Surfaces: Hype or handy Design Tool?” Opening presentation at SPIE Optical Systems Design, Marseille (2011).
  16. G. W. Forbes, “Robust, efficient computational methods for axially symmetric optical aspheres,” Opt. Express 18(19), 19700–19712 (2010).
    [CrossRef] [PubMed]

2011 (2)

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

2010 (3)

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

G. W. Forbes, “Robust, efficient computational methods for axially symmetric optical aspheres,” Opt. Express 18(19), 19700–19712 (2010).
[CrossRef] [PubMed]

2009 (2)

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]

F. Bociort and M. van Turnhout, “Finding new local minima in lens design landscapes by constructing saddle points,” Opt. Eng. 48(6), 063001 (2009).
[CrossRef]

2008 (1)

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE 7060, 70600E, 70600E-10 (2008).
[CrossRef]

2007 (1)

1997 (1)

Addiego, C.

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

Benitez, P.

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

Benítez, P.

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[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. Express 17(26), 24036–24044 (2009).
[CrossRef] [PubMed]

P. Benítez and J. C. Miñano, “Ultrahigh-numerical-aperture imaging concentrator,” J. Opt. Soc. Am. A 14(8), 1988–1997 (1997).
[CrossRef]

Biot, G.

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

Bociort, F.

F. Bociort and M. van Turnhout, “Finding new local minima in lens design landscapes by constructing saddle points,” Opt. Eng. 48(6), 063001 (2009).
[CrossRef]

de la Fuente, M.

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

Forbes, G. W.

Goodman, T.

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

Infante, J.

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[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. Express 17(26), 24036–24044 (2009).
[CrossRef] [PubMed]

Lin, W.

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

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]

Mifsud, S.

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

Minano, J. C.

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

Miñano, J. C.

Muñoz, F.

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

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]

Olson, C.

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

Santamaría, A.

Shepard, R. H.

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE 7060, 70600E, 70600E-10 (2008).
[CrossRef]

Sparrold, S. W.

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE 7060, 70600E, 70600E-10 (2008).
[CrossRef]

van Turnhout, M.

F. Bociort and M. van Turnhout, “Finding new local minima in lens design landscapes by constructing saddle points,” Opt. Eng. 48(6), 063001 (2009).
[CrossRef]

Vilaplana, J.

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

Wang, L.

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Eng. (1)

F. Bociort and M. van Turnhout, “Finding new local minima in lens design landscapes by constructing saddle points,” Opt. Eng. 48(6), 063001 (2009).
[CrossRef]

Opt. Express (3)

Proc. SPIE (5)

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE 8128, 81280F, 81280F-8 (2011).
[CrossRef]

L. Wang, P. Benítez, J. C. Minano, J. Infante, M. de la Fuente, and G. Biot, “Ultracompact SWIR telephoto lens design with SMS method,” Proc. SPIE 8129, 81290I, 81290I-10 (2011).
[CrossRef]

J.M.I HerreroF. Muñoz, P. Benitez, J. C. Miñano, W. Lin, J. Vilaplana, G. Biot, and M. de la Fuente, “Novel fast catadioptric objective with wide field of view,” Proc. SPIE 7787, 778704 (2010).

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE 7060, 70600E, 70600E-10 (2008).
[CrossRef]

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE 7652, 76522A, 76522A-12 (2010).
[CrossRef]

Other (6)

W. Ulrich, “Freeform Surfaces: Hype or handy Design Tool?” Opening presentation at SPIE Optical Systems Design, Marseille (2011).

N. Orestes, Stavroudis, The mathematics of geometrical and physical optics (Wiley-VCH, 2006).

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, 1999).

R. K. Luneburg, Mathematical Theory of Optics (University of California Press, 1964).

R. Winston, J. C. Miñano, and P. Benítez, with contributions of N. Shatz, J. Bortz, Nonimaging Optics, (Academic Press Elsevier, 2004), Chap. 8.

J. Chaves, Introduction to Nonimaging Optics (CRC Press, 2008).

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Figures (8)

Fig. 1
Fig. 1

Ray trajectories from the design object points to their corresponding image points used to design the central segments.

Fig. 2
Fig. 2

RXXR designs with the same vertice positions and identical front surface with(a) concave exit refractive surface; (b) with convex exit refractive surface.

Fig. 3
Fig. 3

RMS diameter of the spot produced by meridian rays only, labeled as RMS2D,for the two designs in Fig. 2: (a) concave exit refractive surface; (b) convex exit refractive surface. The absolute value of the 3rd order best fit polynomial sharing the zeros is also shown.

Fig. 4
Fig. 4

SMS Phase I optimization of the central curvature of first parabola. (a) before optimization, central curvature = 0mm−1; (b) after optimization, central curvature = −0.00055mm−1;(c) Merit function.

Fig. 5
Fig. 5

Merit functions of vertices position optimization.

Fig. 6
Fig. 6

Monochromatic design in Code V before optimization. (a) Comparison of RMS3D in C + + and Code V; (b) MTF performance before optimization.

Fig. 7
Fig. 7

Monochromatic design in code V after optimization: (a) RMS3D distribution; (b) Optimized MTF.

Fig. 8
Fig. 8

RXXR achromatic design in Code V: (a) BK7 (flint) and k7 (crown) combination is used to correct chromatic aberrations; (b) MTF value is very close to the diffraction limit; (c) Ray aberrations remain small for all field angles.

Tables (1)

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Table 1 Specifications of the Telephoto Design

Equations (2)

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n i k i cos 2 α i n r k r cos 2 α r =( n i cos α i n r cos α r ) k c
RMS 2D (θ)=| A(θ)( θ 2 θ 1 2 )θ |

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