Abstract

We have designed an optimum holographic optical element (HOE) lens recorded by visible laser beams for an infrared two-dimensional vertical-cavity surface-emitting laser (VCSEL) array. The hologram computer-aided design tool that we have developed is used for the optimum design. The optimum HOE has both high light efficiency and a small amount of aberration. An Nd:YAG laser operated at 532 nm and an 8×8 VCSEL array operated at 850 nm are used for HOE recording and reconstruction, respectively. The designed lens is experimentally demonstrated, and the experimental results of the lens almost agree with the numerical results.

© 2003 Optical Society of America

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References

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  1. See, for example, Diffractive Optics and Micro-Optics 2002, Vol. 75 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002).
  2. T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
    [CrossRef]
  3. Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
    [CrossRef]
  4. Y. Ishii and T. Kubota, Appl. Opt. 32, 4415 (1993).
    [CrossRef] [PubMed]
  5. Y. Amitai and A. A. Friesem, Opt. Lett. 13, 883 (1988).
    [CrossRef] [PubMed]
  6. M. Assenheimer, Y. Amitai, and A. A. Friesem, Appl. Opt. 27, 4747 (1988).
    [CrossRef] [PubMed]
  7. N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
    [CrossRef]
  8. K. Iga, F. Koyama, and S. Kinoshita, IEEE J. Quantum Electron. 24, 1845 (1988).
    [CrossRef]
  9. K. Iga, IEICE Trans. Electron. E75-C, 10 (1992).
  10. E. B. Champagne, J. Opt. Soc. Am. 57, 51 (1967).
  11. E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
    [CrossRef]
  12. H. Kogelnik, Bell Syst. Tech. J. 48, 2907 (1969).
    [CrossRef]

2002

See, for example, Diffractive Optics and Micro-Optics 2002, Vol. 75 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002).

2001

T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
[CrossRef]

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

1993

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Y. Ishii and T. Kubota, Appl. Opt. 32, 4415 (1993).
[CrossRef] [PubMed]

1992

K. Iga, IEICE Trans. Electron. E75-C, 10 (1992).

1988

1969

H. Kogelnik, Bell Syst. Tech. J. 48, 2907 (1969).
[CrossRef]

1967

1966

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Amitai, Y.

Assenheimer, M.

Awatsuji, Y.

T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
[CrossRef]

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

Champagne, E. B.

Falkenstorfer, O.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Friesem, A. A.

Iga, K.

K. Iga, IEICE Trans. Electron. E75-C, 10 (1992).

K. Iga, F. Koyama, and S. Kinoshita, IEEE J. Quantum Electron. 24, 1845 (1988).
[CrossRef]

Ishii, Y.

Kinoshita, S.

K. Iga, F. Koyama, and S. Kinoshita, IEEE J. Quantum Electron. 24, 1845 (1988).
[CrossRef]

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2907 (1969).
[CrossRef]

Koyama, F.

K. Iga, F. Koyama, and S. Kinoshita, IEEE J. Quantum Electron. 24, 1845 (1988).
[CrossRef]

Kozma, A.

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Kubota, T.

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
[CrossRef]

Y. Ishii and T. Kubota, Appl. Opt. 32, 4415 (1993).
[CrossRef] [PubMed]

Leith, E. N.

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Lindlein, N.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Marks, J.

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Massey, N.

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Matsuura, Y.

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

Schrader, M.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Schwider, J.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Shimizu, T.

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
[CrossRef]

Streibl, N.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Upatnieks, J.

E. N. Leith, A. Kozma, J. Upatnieks, J. Marks, and N. Massey, Appl. Opt. 5, 1503 (1966).
[CrossRef]

Volkel, R.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

Appl. Opt.

Bell Syst. Tech. J.

H. Kogelnik, Bell Syst. Tech. J. 48, 2907 (1969).
[CrossRef]

IEEE J. Quantum Electron.

K. Iga, F. Koyama, and S. Kinoshita, IEEE J. Quantum Electron. 24, 1845 (1988).
[CrossRef]

IEICE Trans. Electron.

K. Iga, IEICE Trans. Electron. E75-C, 10 (1992).

J. Mod. Opt.

N. Lindlein, J. Schwider, M. Schrader, O. Falkenstorfer, R. Volkel, and N. Streibl, J. Mod. Opt. 40, 647 (1993).
[CrossRef]

J. Opt. Soc. Am.

Opt. Eng.

T. Shimizu, Y. Awatsuji, and T. Kubota, Opt. Eng. 40, 2524 (2001).
[CrossRef]

Opt. Lett.

Opt. Rev.

Y. Awatsuji, Y. Matsuura, T. Shimizu, and T. Kubota, Opt. Rev. 8, 249 (2001).
[CrossRef]

OSA Trends in Optics and Photonics Series

See, for example, Diffractive Optics and Micro-Optics 2002, Vol. 75 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002).

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Figures (5)

Fig. 1
Fig. 1

Optical setup of the HOE lens to be designed.

Fig. 2
Fig. 2

Optical setup for recording the HOE lens.

Fig. 3
Fig. 3

Spot diagram of the optimum HOE lens on the image plane.

Fig. 4
Fig. 4

Photograph of the fabricated HOE lens.

Fig. 5
Fig. 5

Images reconstructed from the fabricated HOE lens illuminated by the infrared two-dimensional VCSEL array.

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