Abstract

We study numerically the interference resulting from the superposition of two Bessel beams propagating in free space. We discuss how to obtain such beams and show the existence of the self-imaging effect during propagation. The evolution of the superimposed Bessel beams is analyzed on the basis of the evolution of the individual beams. Our exact numerical predictions contradict previous approximated analytical treatments, showing that they can lead to quantitatively wrong results and misleading conclusions.

© 1998 Optical Society of America

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  1. J. Durnin, J. Opt. Soc. Am. A 4, 2383 (1987).
  2. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
  3. R. Borghi and M. Santarsiero, Opt. Lett. 22, 262 (1997).
  4. D. Ding and Z. Lu, Appl. Phys. Lett. 68, 608 (1996).
  5. X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).
  6. V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).
  7. S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, Opt. Lett. 21, 248 (1996).
  8. H. Sõnajalg and P. Saari, Opt. Lett. 21, 1162 (1996).
  9. H. Sõnajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).
  10. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).
  11. Z. Jaroszewicz, A. Kolodziejczyk, A. Kujawski, and C. Gomez-Reino, Opt. Lett. 21, 839 (1996).
  12. K. Patorsky, in Progress in Optics XXVII, E. Wolf, ed. (Elsevier, Amsterdam, 1990), p. 3, and references therein.
  13. E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

1997

X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).

R. Borghi and M. Santarsiero, Opt. Lett. 22, 262 (1997).

H. Sõnajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).

1996

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, Opt. Lett. 21, 248 (1996).

Z. Jaroszewicz, A. Kolodziejczyk, A. Kujawski, and C. Gomez-Reino, Opt. Lett. 21, 839 (1996).

H. Sõnajalg and P. Saari, Opt. Lett. 21, 1162 (1996).

S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).

D. Ding and Z. Lu, Appl. Phys. Lett. 68, 608 (1996).

E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

1990

K. Patorsky, in Progress in Optics XXVII, E. Wolf, ed. (Elsevier, Amsterdam, 1990), p. 3, and references therein.

1987

J. Durnin, J. Opt. Soc. Am. A 4, 2383 (1987).

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

Andrés, P.

E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

Borghi, R.

Chávez-Cerda, S.

S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).

Ding, D.

X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).

D. Ding and Z. Lu, Appl. Phys. Lett. 68, 608 (1996).

Durnin, J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

J. Durnin, J. Opt. Soc. Am. A 4, 2383 (1987).

Eberly, J. H.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

Gomez-Reino, C.

Herminghaus, S.

Ibarra, J.

E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

Jaroszewicz, Z.

Klewitz, S.

Kolodziejczyk, A.

Kujawski, A.

Leiderer, P.

Liu, X.

X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).

Lu, Z.

X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).

D. Ding and Z. Lu, Appl. Phys. Lett. 68, 608 (1996).

McDonald, G. S.

S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).

Miceli, Jr., J. J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

New, G. H. C.

S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).

Patorsky, K.

K. Patorsky, in Progress in Optics XXVII, E. Wolf, ed. (Elsevier, Amsterdam, 1990), p. 3, and references therein.

Peet, V. E.

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).

Rätsep, M.

Saari, P.

Santarsiero, M.

Sogomonian, S.

Sõnajalg, H.

Tepichin, E.

E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

Tsubin, R. V.

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).

Appl. Phys. Lett.

D. Ding and Z. Lu, Appl. Phys. Lett. 68, 608 (1996).

X. Liu, Appl. Phys. Lett. 71, 722 (1997); D. Ding and Z. Lu, Appl. Phys. Lett. 71, 723 (1997).

J. Opt. Soc. Am. A

J. Durnin, J. Opt. Soc. Am. A 4, 2383 (1987).

Opt. Commun.

E. Tepichin, P. Andrés, and J. Ibarra, Opt. Commun. 125, 27 (1996).

S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, Opt. Commun. 123, 225 (1996).

Opt. Lett.

Phys. Rev. A

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).

Phys. Rev. Lett.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).

Other

K. Patorsky, in Progress in Optics XXVII, E. Wolf, ed. (Elsevier, Amsterdam, 1990), p. 3, and references therein.

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