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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  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. A14(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. Express17(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. SPIE7787, 778704 (2010).
  8. G. W. Forbes, “Shape specification for axially symmetric optical surfaces,” Opt. Express15(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. SPIE8128, 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. SPIE8129, 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. SPIE7060, 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. SPIE7652, 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. Express18(19), 19700–19712 (2010).
    [CrossRef] [PubMed]

2011

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE8128, 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. SPIE8129, 81290I, 81290I-10 (2011).
[CrossRef]

2010

C. Olson, T. Goodman, C. Addiego, and S. Mifsud, “Design and construction of a short-wave infrared 3.3X continuous zoom lens,” Proc. SPIE7652, 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. SPIE7787, 778704 (2010).

G. W. Forbes, “Robust, efficient computational methods for axially symmetric optical aspheres,” Opt. Express18(19), 19700–19712 (2010).
[CrossRef] [PubMed]

2009

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. 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

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE7060, 70600E, 70600E-10 (2008).
[CrossRef]

2007

1997

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. SPIE7652, 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. SPIE7787, 778704 (2010).

Benítez, P.

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. SPIE8129, 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. SPIE8128, 81280F, 81280F-8 (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. Express17(26), 24036–24044 (2009).
[CrossRef] [PubMed]

P. Benítez and J. C. Miñano, “Ultrahigh-numerical-aperture imaging concentrator,” J. Opt. Soc. Am. A14(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. SPIE8128, 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. SPIE8129, 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. SPIE7787, 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. SPIE8129, 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. SPIE7787, 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. SPIE7652, 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. SPIE8128, 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. SPIE8129, 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. Express17(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. SPIE8128, 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. SPIE7787, 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. Express17(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. SPIE7652, 76522A, 76522A-12 (2010).
[CrossRef]

Minano, J. C.

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE8128, 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. SPIE8129, 81290I, 81290I-10 (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. SPIE7787, 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. Express17(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. SPIE7652, 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. SPIE7060, 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. SPIE7060, 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. SPIE7787, 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. SPIE8129, 81290I, 81290I-10 (2011).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Eng.

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

Proc. SPIE

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. SPIE7787, 778704 (2010).

W. Lin, P. Benítez, J. C. Minano, J. Infante, and G. Biot “Progress in the SMS design method for imaging optics,” Proc. SPIE8128, 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. SPIE8129, 81290I, 81290I-10 (2011).
[CrossRef]

R. H. Shepard and S. W. Sparrold, “Material selection for color correction in the short-wave infrared,” Proc. SPIE7060, 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. SPIE7652, 76522A, 76522A-12 (2010).
[CrossRef]

Other

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

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

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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