Abstract

We have discovered an aplanatic design that contributes to a celebrated problem in classical optics in a novel way. In so doing new devices are envisioned with applications to illumination, concentration, and imaging.

© 2009 Optical Society of America

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References

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  1. M. Born and E. Wolf, Principles of Optics (Macmillan, 1964).
  2. C. Zhao and J. H. Burge, J. Opt. Soc. Am. A 19, 2467 (2002).
    [CrossRef]
  3. R. K. Luneburg, Mathematical Theory of Optics (U. of California Press, 1964).
  4. D. Korsch, Reflective Optics (Academic, 1991).
  5. L. N. Mertz, Excursions in Astronomical Optics (Springer, 1996).
    [CrossRef]
  6. K. Schawarzchild, Mitt. Sternw. Gottingen , 10, 11 (1905).
  7. D. T. Puryayev and A. V. Gontcharov, Opt. Eng. 37, 2334 (1998).
    [CrossRef]
  8. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 334, 787 (2002).
    [CrossRef]
  9. R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).
    [CrossRef]
  10. R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).
  11. W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, 1974).

2003 (1)

R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).
[CrossRef]

2002 (2)

C. Zhao and J. H. Burge, J. Opt. Soc. Am. A 19, 2467 (2002).
[CrossRef]

D. Lynden-Bell, Mon. Not. R. Astron. Soc. 334, 787 (2002).
[CrossRef]

1998 (1)

D. T. Puryayev and A. V. Gontcharov, Opt. Eng. 37, 2334 (1998).
[CrossRef]

1905 (1)

K. Schawarzchild, Mitt. Sternw. Gottingen , 10, 11 (1905).

Benítez, P.

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

Born, M.

M. Born and E. Wolf, Principles of Optics (Macmillan, 1964).

Bortz, J. C.

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

Burge, J. H.

Gontcharov, A. V.

D. T. Puryayev and A. V. Gontcharov, Opt. Eng. 37, 2334 (1998).
[CrossRef]

Korsch, D.

D. Korsch, Reflective Optics (Academic, 1991).

Luneburg, R. K.

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

Lynden-Bell, D.

R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).
[CrossRef]

D. Lynden-Bell, Mon. Not. R. Astron. Soc. 334, 787 (2002).
[CrossRef]

Mertz, L. N.

L. N. Mertz, Excursions in Astronomical Optics (Springer, 1996).
[CrossRef]

Miñano, J. C.

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

Puryayev, D. T.

D. T. Puryayev and A. V. Gontcharov, Opt. Eng. 37, 2334 (1998).
[CrossRef]

Schawarzchild, K.

K. Schawarzchild, Mitt. Sternw. Gottingen , 10, 11 (1905).

Shatz, N.

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

Welford, W. T.

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, 1974).

Willstrop, R. V.

R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).
[CrossRef]

Winston, R.

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Macmillan, 1964).

Zhao, C.

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

Mitt. Sternw. Gottingen (1)

K. Schawarzchild, Mitt. Sternw. Gottingen , 10, 11 (1905).

Mon. Not. R. Astron. Soc. (2)

D. Lynden-Bell, Mon. Not. R. Astron. Soc. 334, 787 (2002).
[CrossRef]

R. V. Willstrop and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 342, 33 (2003).
[CrossRef]

Opt. Eng. (1)

D. T. Puryayev and A. V. Gontcharov, Opt. Eng. 37, 2334 (1998).
[CrossRef]

Other (6)

M. Born and E. Wolf, Principles of Optics (Macmillan, 1964).

R. Winston, J. C. Miñano, and P. Benítez, with contributions by N. Shatz and J. C. Bortz, Nonimaging Optics (Elsevier Academic, 2005).

W. T. Welford, Aberrations of the Symmetrical Optical System (Academic, 1974).

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

D. Korsch, Reflective Optics (Academic, 1991).

L. N. Mertz, Excursions in Astronomical Optics (Springer, 1996).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Luneburg method of constructing a two-mirror aplanat. The constructed surfaces are shown in the curves with dots.

Fig. 2
Fig. 2

Method of constructing a two-surface aplanat with refractive media. The constructed surfaces are shown in the curves with dots.

Fig. 3
Fig. 3

Example of two-surface aplanats with refractive media. (a) On-axial (solid) and off-axial (2 deg, dashed) ray tracing showing on the cross section of the aplanat, where the rays would have hit the central obscuration area are blocked by a screen for illustration purpose. Also shown is the close-up on the focal region, where sharp focusing of both on-axial and off-axial rays indicates the aplanatic nature of the design. (b) 3-D rendering of the aplanat.

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