Abstract

A new method that reshapes a Gaussian laser beam into a polygon of diffraction-limited size with a flat or a pyramidal top is presented. The technique is based on the use of computer-generated holograms with phase dislocations (singularities).

© 1999 Optical Society of America

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References

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  1. O. Bryngdahl, J. Opt. Soc. Am. 64, 1092 (1974).
    [CrossRef]
  2. C. Y. Han, Y. Ishii, and K. Murata, Appl. Opt. 22, 3644 (1983).
    [CrossRef] [PubMed]
  3. N. C. Roberts, Appl. Opt. 28, 31 (1989).
    [CrossRef] [PubMed]
  4. J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
    [CrossRef]
  5. I. Gur and D. Mendlovic, Opt. Commun. 145, 237 (1998).
    [CrossRef]
  6. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1971).
  7. J. J. Kasinski and R. L. Burnham, Opt. Lett. 22, 1062 (1997).
    [CrossRef] [PubMed]
  8. V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
    [CrossRef]
  9. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef]
  10. V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
    [CrossRef]

1998 (1)

I. Gur and D. Mendlovic, Opt. Commun. 145, 237 (1998).
[CrossRef]

1997 (1)

1995 (1)

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

1992 (2)

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
[CrossRef]

1991 (1)

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

1989 (1)

1983 (1)

1974 (1)

1971 (1)

W. Gerchberg and W. O. Saxton, Optik 35, 237 (1971).

Bazhenov, V. Y.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Bryngdahl, O.

Burnham, R. L.

Cherkashin, V. V.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

Churin, E. G.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

Gerchberg, W.

W. Gerchberg and W. O. Saxton, Optik 35, 237 (1971).

Gur, I.

I. Gur and D. Mendlovic, Opt. Commun. 145, 237 (1998).
[CrossRef]

Han, C. Y.

Heckenberg, N. R.

Hossfeld, J.

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

Ishii, Y.

Jager, E.

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

Kasinski, J. J.

Kharissov, A. A.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

Kiryanov, V. P.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

Korol’kov, V. P.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

Koronkevich, V. P.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

McDuff, R.

Mendlovic, D.

I. Gur and D. Mendlovic, Opt. Commun. 145, 237 (1998).
[CrossRef]

Murata, K.

Poleshchuk, A. G.

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

Roberts, N. C.

Saxton, W. O.

W. Gerchberg and W. O. Saxton, Optik 35, 237 (1971).

Smith, C. P.

Soskin, M. S.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Tschudi, T.

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

Vasnetsov, M. V.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

White, A. G.

Appl. Opt. (2)

J. Mod. Opt. (1)

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Commun. (1)

I. Gur and D. Mendlovic, Opt. Commun. 145, 237 (1998).
[CrossRef]

Opt. Lett. (2)

Optik (1)

W. Gerchberg and W. O. Saxton, Optik 35, 237 (1971).

Proc. SPIE (2)

J. Hossfeld, E. Jager, T. Tschudi, E. G. Churin, and V. P. Koronkevich, Proc. SPIE 1574, 159 (1991).
[CrossRef]

V. P. Koronkevich, V. P. Kiryanov, V. P. Korol’kov, A. G. Poleshchuk, V. V. Cherkashin, E. G. Churin, and A. A. Kharissov, Proc. SPIE 2363, 290 (1995).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Intensity distributions, contours, and profiles (solid curves; y=0) for flattop reshaping by use of different numbers of dislocations, N. The Gaussian profiles that have not been reshaped are shown by the dashed curves for comparison.

Fig. 2
Fig. 2

Same as Fig.  1 but for pyramidal-top reshaping.

Fig. 3
Fig. 3

CGH’s: (a) regular grating with four dislocations, (b) Fresnel-zone plate with six dislocations.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

ux,y=exp-x2+y2/rg2x2+y2<ra20x2+y2ra2,
Φ0x,y=k=1N-1ksigny-yk+1-signy-yk×arccosx-xkx-xk2+y-yk21/2.

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