Abstract

We show that a new class of nondiffracting planar beams is possible in unbiased photorefractive media.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
    [CrossRef]
  2. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  3. A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
    [CrossRef]
  4. Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 41, 414 (1976).
  5. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
    [CrossRef] [PubMed]
  6. M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  7. D. N. Christodoulides, M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
    [CrossRef]
  8. M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
    [CrossRef]
  9. G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
    [CrossRef] [PubMed]
  10. G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [CrossRef] [PubMed]
  11. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987); J. Durnin, J. J. Miceli, J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
  12. J. Rosen, B. Salik, A. Yariv, H. K. Liu, Opt. Lett. 20, 423 (1995).
    [CrossRef] [PubMed]
  13. M. V Berry, N. L. Balazs, Am. J. Phys. 47, 264 (1979).
    [CrossRef]
  14. D. M. Greenberger, Am. J. Phys. 48, 256 (1980).
    [CrossRef]
  15. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
  16. D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
    [CrossRef] [PubMed]
  17. O. V. Lyubomudrov, V. V. Shkunov, J. Opt. Soc. Am. B 11, 1403 (1994).
    [CrossRef]

1995 (4)

D. N. Christodoulides, M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

J. Rosen, B. Salik, A. Yariv, H. K. Liu, Opt. Lett. 20, 423 (1995).
[CrossRef] [PubMed]

1994 (4)

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
[CrossRef] [PubMed]

O. V. Lyubomudrov, V. V. Shkunov, J. Opt. Soc. Am. B 11, 1403 (1994).
[CrossRef]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

1993 (1)

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

1987 (1)

1985 (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
[CrossRef]

1980 (1)

D. M. Greenberger, Am. J. Phys. 48, 256 (1980).
[CrossRef]

1979 (1)

M. V Berry, N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

1976 (1)

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 41, 414 (1976).

1972 (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

1964 (1)

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Abramowitz, M.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Balazs, N. L.

M. V Berry, N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Barthelemy, A.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
[CrossRef]

Berry, M. V

M. V Berry, N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

Carvalho, M. I.

Chiao, R. Y.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Christodoulides, D. N.

Crosignani, B.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Di Porto, P.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Duree, G. C.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Durnin, J.

Froehly, C.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
[CrossRef]

Garmire, E.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Greenberger, D. M.

D. M. Greenberger, Am. J. Phys. 48, 256 (1980).
[CrossRef]

Hagan, D. J.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Karamzin, Y. N.

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 41, 414 (1976).

Liu, H. K.

Lyubomudrov, O. V.

Maneuf, S.

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
[CrossRef]

Menyuk, C. R.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Neurgaonkar, R.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Rosen, J.

Salamo, G.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Salik, B.

Segev, M.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Sharp, E.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Shih, M. F.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

Shkunov, V. V.

Shultz, J. L.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Stegeman, G. I.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Stegun, I. A.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Sukhorukov, A. P.

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 41, 414 (1976).

Torner, L.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Torruellas, W. E.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Townes, C. H.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Valley, G. C.

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

VanStryland, E. W.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Wang, Z.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Yariv, A.

J. Rosen, B. Salik, A. Yariv, H. K. Liu, Opt. Lett. 20, 423 (1995).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Am. J. Phys. (2)

M. V Berry, N. L. Balazs, Am. J. Phys. 47, 264 (1979).
[CrossRef]

D. M. Greenberger, Am. J. Phys. 48, 256 (1980).
[CrossRef]

Electron. Lett. (1)

M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826 (1995).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

JETP Lett. (1)

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 41, 414 (1976).

Opt. Com-mun. (1)

A. Barthelemy, S. Maneuf, C. Froehly, Opt. Com-mun. 55, 201 (1985).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

G. C. Valley, M. Segev, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Sov. Phys. JETP (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Other (1)

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Normalized field profile of a planar nondiffracting beam when (a) γ = 0.142 and (b) γ = 0.456.

Fig. 2
Fig. 2

Propagation of a nondiffracting beam in a SBN:60 crystal when the beam polarization is parallel (a) to the x axis and (b) to the y axis. In both cases the input beam was obtained for γ = 0.142, and its peak intensity is 1000 times above Id.

Fig. 3
Fig. 3

Propagation of a nondiffracting beam in a SBN:75 crystal when the beam polarization is parallel to (a) the x coordinate and (b) the y coordinate. In both cases the input beam was obtained for γ = 0.456, and its peak intensity is 1000 times above Id.

Equations (3)

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

i ϕ ξ + 1 2 ϕ ss + γ ( ϕ 2 ) s ϕ 2 ϕ = 0.
ϕ = ϕ 0 A i ( η + 4 γ 2 ) exp ( 2 γ η ) × exp { i [ ( η ξ / 2 ) + ( ξ 3 / 24 ) ] } ,
η = s ( ξ 2 / 4 ) .

Metrics