Abstract

We study the propagation of intense optical beams in layered Kerr media. With appropriate shapes, beams with a power close to the self-focusing threshold are shown to propagate over long distances as quasi-stationary waveguides in cubic media supporting a periodic nonlinear refractive index.

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  1. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
  2. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).
  3. E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).
  4. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Reading, Mass., 1991).
  5. S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.
  6. G. Fibich and G. C. Papanicolaou, SIAM J. Appl. Math. 60, 183 (1999).
  7. L. Bergé, Phys. Rep. 303, 259 (1998).
  8. M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).
  9. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).
  10. S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

1999

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

G. Fibich and G. C. Papanicolaou, SIAM J. Appl. Math. 60, 183 (1999).

1998

L. Bergé, Phys. Rep. 303, 259 (1998).

1997

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

1991

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).

1986

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).

1964

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Anderson, D.

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).

Barthelemy, A.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Bergé, L.

L. Bergé, Phys. Rep. 303, 259 (1998).

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Christou, J.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Desaix, M.

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).

Doran, N. J.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

Esarey, E.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

Fibich, G.

G. Fibich and G. C. Papanicolaou, SIAM J. Appl. Math. 60, 183 (1999).

Forysiak, W.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

Froehly, C.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Kelley, P. L.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Knox, F. M.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

Krall, J.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

Lisak, M.

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).

Luther-Davies, B.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Manoeuf, S.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Mezentsev, V. K.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Moloney, J. V.

A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Reading, Mass., 1991).

Newell, A. C.

A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Reading, Mass., 1991).

Nijhof, J. H. B.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

Papanicolaou, G. C.

G. Fibich and G. C. Papanicolaou, SIAM J. Appl. Math. 60, 183 (1999).

Rasmussen, J. J.

J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).

Rypdal, K.

J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).

Schäfer, T.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Shapiro, E. G.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Spatschek, K. H.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Sprangle, P.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

Tikhonenko, V.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

Ting, A.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Turitsyn, S. K.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Electron. Lett.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1727 (1997).

IEEE J. Quantum Electron.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE J. Quantum Electron. 33, 1879 (1997).

J. Opt.

S. Manoeuf, A. Barthelemy, and C. Froehly, J. Opt. 17, 139 (1986) ; V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996).

J. Opt. Soc. Am. B

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991).

Opt. Commun.

S. K. Turitsyn, T. Schäfer, K. H. Spatschek, and V. K. Mezentsev, Opt. Commun. 163, 122 (1999). See for a review: S. K. Turitsyn, V. K. Mezentsev, and E. G. Shapiro, Opt. Fiber Technol. 4, 384 (1998), and references therein.

Phys. Rep.

L. Bergé, Phys. Rep. 303, 259 (1998).

Phys. Rev. Lett.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).

Phys. Scr.

J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).

SIAM J. Appl. Math.

G. Fibich and G. C. Papanicolaou, SIAM J. Appl. Math. 60, 183 (1999).

Other

A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Reading, Mass., 1991).

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