Abstract

It is verified that the condition of nondiffracting propagation of an optical beam provides the degrees of freedom that are applicable to the controlled shaping of the beam’s transverse intensity profile. The proposed method of beam shaping permits experimental realization of nondiffracting patterns and arrays with a predetermined spatial shape.

© 2002 Optical Society of America

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References

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2002 (1)

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

2001 (2)

2000 (4)

1998 (2)

1996 (1)

S. Chavez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
[CrossRef]

1994 (1)

1993 (1)

J. Turunen and A. T. Friberg, Pure Appl. Opt. 2, 51 (1993).
[CrossRef]

1992 (1)

M. R. Lapointe, Opt. Laser Technol. 24, 315 (1992).
[CrossRef]

1989 (1)

P. Andrés, E. Tepichín, and J. Ojeda-Castaneda, Opt. Commun. 72, 47 (1989).
[CrossRef]

1987 (1)

Andrés, P.

P. Andrés, E. Tepichín, and J. Ojeda-Castaneda, Opt. Commun. 72, 47 (1989).
[CrossRef]

Bouchal, Z.

J. Wagner and Z. Bouchal, Opt. Commun. 176, 309 (2000).
[CrossRef]

Z. Bouchal and J. Wagner, Opt. Commun. 176, 299 (2000).
[CrossRef]

Chavez-Cerda, S.

J. C. Gutierrez-Vega, M. D. Iturbe-Castillo, and S. Chavez-Cerda, Opt. Lett. 25, 1493 (2000).
[CrossRef]

S. Chavez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
[CrossRef]

Durnin, J.

Friberg, A. T.

J. Turunen and A. T. Friberg, Pure Appl. Opt. 2, 51 (1993).
[CrossRef]

Gutierrez-Vega, J. C.

Henao, R.

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

Iturbe-Castillo, M. D.

Jaroszewicz, Z.

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

Kettunen, V.

Kolodziejczyk, A.

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

Lapointe, M. R.

M. R. Lapointe, Opt. Laser Technol. 24, 315 (1992).
[CrossRef]

McDonald, G. S.

S. Chavez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
[CrossRef]

New, G. H. C.

S. Chavez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
[CrossRef]

Ojeda-Castaneda, J.

P. Andrés, E. Tepichín, and J. Ojeda-Castaneda, Opt. Commun. 72, 47 (1989).
[CrossRef]

Piestun, R.

Quintero, O.

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

Rushin, J.

Shamir, J.

Shchegrov, A. V.

Tepichín, E.

P. Andrés, E. Tepichín, and J. Ojeda-Castaneda, Opt. Commun. 72, 47 (1989).
[CrossRef]

Tervo, J.

Turunen, J.

Wagner, J.

J. Wagner and Z. Bouchal, Opt. Commun. 176, 309 (2000).
[CrossRef]

Z. Bouchal and J. Wagner, Opt. Commun. 176, 299 (2000).
[CrossRef]

Wolf, E.

Am. J. Phys. (1)

A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, Am. J. Phys. 70, 169 (2002).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Commun. (4)

Z. Bouchal and J. Wagner, Opt. Commun. 176, 299 (2000).
[CrossRef]

J. Wagner and Z. Bouchal, Opt. Commun. 176, 309 (2000).
[CrossRef]

S. Chavez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
[CrossRef]

P. Andrés, E. Tepichín, and J. Ojeda-Castaneda, Opt. Commun. 72, 47 (1989).
[CrossRef]

Opt. Express (1)

Opt. Laser Technol. (1)

M. R. Lapointe, Opt. Laser Technol. 24, 315 (1992).
[CrossRef]

Opt. Lett. (3)

Opt. Photon. News (1)

R. Piestun, Opt. Photon. News 12(11), 28 (2001).
[CrossRef]

Pure Appl. Opt. (1)

J. Turunen and A. T. Friberg, Pure Appl. Opt. 2, 51 (1993).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Experimental setup for generation of nondiffracting patterns with a predetermined shape.

Fig. 2
Fig. 2

Nondiffracting patterns obtained for a crosslike source array radiating (a), (c) incoherently and (b), (d) fully coherently. The change in resolution is apparent from comparison of (a) with (c) and (b) with (d).

Fig. 3
Fig. 3

Same as in Fig. 2 but for a source resembling the initials of Palacký University.

Equations (6)

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

hr=02πAψexp-ik·rdψ,
hr,r=exp-ikx2+y2/2zh0x-p,y-q,z,z,
h0r,z=1zexp-ikz+R2/2z×02πtψexp-ik·rdψ.
Ur=-+αx,yhr,rdxdy.
Ir=α0-+αDx,yhr,rdxdy2.
Γr1,r2=α02-+αDx,y2×hr1,rh*r2,rdxdy.

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