OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 19, Iss. 21 — Nov. 1, 1994
  • pp: 1717–1719

Multidimensional solitons in cubic nonlinear media

K. Hayata and M. Koshiba  »View Author Affiliations

Optics Letters, Vol. 19, Issue 21, pp. 1717-1719 (1994)

View Full Text Article

Enhanced HTML    Acrobat PDF (391 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We show numerically that, contrary to what has been believed so far, multidimensional optical solitons can propagate in cubic nonlinear media. To avoid a collapse along the propagation axis, we take advantage of the cross-phase modulations between fundamental- and harmonic-field components. A compact analytical expression for new solitonlike fields with an arbitrary transverse dimension is derived through a self-consistent-field approximation.

© 1994 Optical Society of America

Original Manuscript: April 11, 1994
Published: November 1, 1994

K. Hayata and M. Koshiba, "Multidimensional solitons in cubic nonlinear media," Opt. Lett. 19, 1717-1719 (1994)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. Infeld, G. Rowlands, Nonlinear Waves, Solitons and Chaos (Cambridge U. Press, Cambridge, 1990), Chap. 9, pp. 298–328.
  2. V. G. Makhankov, Soliton Phenomenology (Muwer, Dordrecht, The Netherlands, 1990), part VI, pp. 391–448.
  3. S. V. Manakov, V. E. Zakharov, L. A. Bordag, A. R. Its, V. B. Matveev, Phys. Lett. A 63, 205 (1977). [CrossRef]
  4. A. Hasegawa, K. Mima, Phys. Fluids 21,87 (1978). [CrossRef]
  5. J. Satsuma, M. J. Ablowitz, J. Math. Phys. 20, 1496 (1979). [CrossRef]
  6. V. I. Petviashvili, JETP Lett. 32, 619 (1980).
  7. M. Makino, T. Kamimura, T. Taniuti, J. Phys. Soc. Jpn. 50, 980 (1981). [CrossRef]
  8. M. Boiti, J. J.-P. Leon, F. Pempinelli, Phys. Lett. A 141, 101 (1989). [CrossRef]
  9. H. Iwasaki, S. Toh, T. Kawahara, Physica D 43, 293 (1990). [CrossRef]
  10. K. Hayata, M. Koshiba, Phys. Rev. Lett. 71,3275 (1993); erratum K. Hayata, M. Koshiba, Phys. Rev. Lett. 72, 178 (1994). [CrossRef] [PubMed]
  11. D. Suter, T. Blasberg, Phys. Rev. A 48, 4583 (1993). [CrossRef] [PubMed]
  12. J. J. Rasmussen, K. Rypdal, Phys. Scr. 33, 481 (1986). [CrossRef]
  13. G. H. Derrick, J. Math. Phys. 5, 1252 (1964). [CrossRef]
  14. K. Hayata, Y. Uehira, M. Koshiba, in Technical Research Reports (Institute of Electrical Engineers of Japan/Institute of Electronics, Information and Communication Engineers, Tokyo, 1993), paper EMT-93–117; in Extended Abstracts of 41st Spring Meeting (Japan Society of Applied Physics, Tokyo, 1994), abstract 28p-E-6.
  15. K. Hayata, M. Koshiba, Electron. Lett. 26, 1566 (1990). [CrossRef]
  16. K. Hayata, A. Misawa, M. Koshiba, Trans. Inst. Electron. Inform. Commun. Eng. J73-C-I, 151 (1990) [Electron. Commun. Jpn. (Part II) 74, 13 (1991)]; J. Opt. Soc. Am. B 7, 1772 (1990).
  17. K. Hayata, A. Misawa, M. Koshiba, Trans. Inst. Electron. Inform. Commun. Eng. E73, 855 (1990); J. Opt. Soc. Am. B 7, 1268 (1990).
  18. V. G. Dmitriev, G. G. Gurzadyan, D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991).
  19. W. L. Smith, in CRC Handbook of Laser Science and Technology, M. J. Weber, ed. (CRC, Boca Raton, Fla., 1986), Vol. 3.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited