OpenAIRE is about to release its new face with lots of new content and services.
During September, you may notice downtime in services, while some functionalities (e.g. user registration, login, validation, claiming) will be temporarily disabled.
We apologize for the inconvenience, please stay tuned!
For further information please contact helpdesk[at]openaire.eu

fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Christian, JM; McDonald, GS; Potton, RJ; Chamorro-Posada, P
Publisher: American Physical Society
Languages: English
Types: Article
Subjects: media_dig_tech_and_creative_econ, other, energy

Classified by OpenAIRE into

arxiv: Nonlinear Sciences::Pattern Formation and Solitons
A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses and liquid crystals. Novel exact analytical soliton solutions are presented for a generic nonlinearity, within which known Kerr solitons comprise a subset. Three conservation laws are also reported and numerical simulations examine the stability of the Helmholtz power-law solitons. These simulations have led to the identification of a new propagation feature associated with spatial solitons in power-law media, constituting a new class of oscillatory solution.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] G. Stegeman and M. Segev, Science 286, 1518 (1999).
    • [2] Y. S. Kivshar, Opt. Quant. Elec. 30, 571 (1998).
    • [3] Y. S. Kivshar and B. Luther Davies, Phys. Rep. 298, 81 (1998).
    • [4] T. T. Shi and S. Chi, Opt. Lett. 15, 1123 (1990).
    • [5] B. Luther-Davies and Y. Xiaoping, Opt. Lett. 17, 496 (1992).
    • [6] C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
    • [7] G. S. McDonald and W. J. Firth, J. Opt. Soc. Am. B 7, 1328 (1990).
    • [8] G. S. McDonald and W. J. Firth, J. Opt. Soc. Am. B 6, 1081 (1993).
    • [9] M. Lax, W. H. Louisell and W. B. McKnight, Phys. Rev. A 11, 1365 (1975).
    • [10] S. Chi and Q. Guo, Opt. Lett. 20, 1598 (1995).
    • [11] A. Ciattoni et al., Opt. Exp. 14, 5517 (2006); ibid J. Opt. Soc. Am. B 17, 809 (2000).
    • [12] A. Ciattoni, B. Crosignani, S. Mookherjea and A. Yariv, Opt. Lett. 30, 516 (2005); B. Crosignani, A. Yariv and S. Mookherjea, Opt. Lett. 29, 1524 (2004).
    • [13] E. Granot et al., Opt. Commun. 178, 431 (2000); ibid Opt. Lett. 22, 1290 (1997).
    • [14] B. A. Malomed, K. Marinov, D. I. Pushkarov and A. Shivarova, Phys. Rev. A 64, 023814 (2001); B. V. Gisin and B. A. Malomed, J. Opt. Soc. Am. B 18, 1356 (2001).
    • [15] P. Chamorro-Posada, G. S. McDonald and G. H. C. New, J. Opt. Soc. Am. B 19, 1216 (2002).
    • [16] M. D. Feit and J. A. Fleck, J. Opt. Soc. Am. B 5, 633 (1988).
    • P. Chamorro-Posada and G. S. McDonald, Opt. Lett. 28, 825 (2003).
    • D. Mihalache, M. Bertolotti and C. Sibilia, Progress in Optics, 27, 227 (1989).
    • Quantum Electron. QE-21, 94 (1985).
    • D. S. Chemla, D. A. B. Miller and P. W. Smith, Opt. Eng. 24, 556 (1985).
    • S. S. Yao et al., Appl. Phys. Lett. 46, 801 (1985); R. K. Jain and R. C. Lind, J.
    • Opt. Soc. Am. 73, 647 (1983).
    • A. W. Snyder and H. T. Tran, Opt. Commun. 98, 309 (1993); G. I. Stegeman et al. Opt. Commun. 56, 365 (1986).
    • C. T. Seaton et al., IEEE J. Quantum Electron. QE-21, 774 (1985).
    • L. Wu, Opt. Commun. 224, 51 (2003); G. I. Stegeman et al. IEEE J. Quantum Electron. QE-22, 977 (1986); U. Langbein, F. Lederer and H. Ponath, Opt.
    • Commun. 53, 417 (1985).
    • A.W. Snyder and D. J. Mitchell, Opt. Lett. 18, 101 (1993).
    • P. Chamorro-Posada, G. S. McDonald and G. H. C. New, Opt. Commun. 192, 1 (2001).
    • P. Chamorro-Posada and G. S. McDonald, Phys. Rev. E 74, 036609 (2006).
    • J. S├ínchez-Curto, P. Chamorro-Posada and G. S. McDonald, Opt. Lett. 32, 1126 (2007).
    • S. Blair, Chaos 10, 570 (2000); A. P. Sheppard and M. Haelterman, Opt. Lett.
    • 23, 1820 (1998); G. Fibich, Phys. Rev. Lett. 76, 4365 (1996).
    • Theor. 40, 1545 (2007); ibid. 8601 (2007).
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Cookies make it easier for us to provide you with our services. With the usage of our services you permit us to use cookies.
More information Ok