Abstract

The intensity-dependent wave-vector and field distributions for TE-polarized nonlinear waves guided by a thin dielectric film bounded on one side by a higher-order nonlinear self-focusing cladding characterized by the dielectric function = c+ αc|E|2 + βc|E|4 and on the other side by a linear substrate are calculated exactly. The stability to propagation of these stationary nonlinear wave solutions is investigated numerically. The results are compared with those obtained for Kerr-law nonlinear media.

© 1988 Optical Society of America

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  1. A. G. Litvak and V. A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 11, 1911 (1968).
  2. M. Miyagi and S. Nishida, “Guided waves in bounded nonlinear medium. II. Dielectric boundaries,” Sci. Rep. Tochoku Univ. B 24, 53 (1972).
  3. A. E. Kaplan, “Hysteresis reflection and refraction by a nonlinear boundary. A new class of effects in nonlinear optics,” Sov. Phys. JETP Lett. 24, 114 (1976).
  4. W. J. Tomlinson, “Surface wave at a nonlinear interface,” Opt. Lett. 5, 323 (1980).
    [Crossref] [PubMed]
  5. A. A. Maradudin, “S-polarized nonlinear surface polaritons,” Z. Phys. B 41, 341 (1981).
    [Crossref]
  6. V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).
  7. N. N. Akhmediev, “Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure,” Sov. Phys. JETP 56, 229 (1982).
  8. V. K. Fedyanin and D. Mihalache, “P-polarized nonlinear surface polaritons in layered structures,” Z. Phys. B 47, 167 (1982).
    [Crossref]
  9. F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
    [Crossref]
  10. M. Y. Yu, “Surface polaritons in nonlinear media,” Phys. Rev. A 28, 1855 (1983).
    [Crossref]
  11. A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
    [Crossref]
  12. G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
    [Crossref]
  13. D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
    [Crossref]
  14. C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
    [Crossref]
  15. K. M. Leung, “P-polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functions,” Phys. Rev. B 32, 5093 (1985).
    [Crossref]
  16. L. G. Bolshinskii and A. I. Lomtev, “Highly nonlinear s-polarized surface waves,” Sov. Tech. Phys. Lett. 11, 148 (1985).
  17. L. G. Bolshinskii and A. I. Lomtev, “Asymmetric waves in a highly nonlinear symmetric layered structure,” Sov. J. Tech. Phys. 56, 817 (1986).
  18. F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151 (1986).
    [Crossref]
  19. H. Vach, C. T. Seaton, G. I. Stegeman, and I. C. Khoo, “Observation of intensity-dependent guided waves,” Opt. Lett. 9, 238 (1984).
    [Crossref] [PubMed]
  20. I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
    [Crossref]
  21. C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).
  22. A. Boardman and P. Egan, “Theory of optical hysteresis for TE guided waves,” Phil. Trans. R. Soc. London Ser. A 313, 363 (1984).
    [Crossref]
  23. U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
    [Crossref]
  24. G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
    [Crossref]
  25. A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896 (1977).
  26. A. E. Kaplan, “Existence criterion of longitudinally inhomogeneous traveling waves in the nonlinear electrodynamics,” Sov. J. Quantum Electron. 8, 95 (1978).
    [Crossref]
  27. A. E. Kaplan, “Longitudinal inhomogeneous traveling waves and their role in the nonlinear light reflection and refraction,” Radiophys. Quantum Electron. 22, 229 (1979).
    [Crossref]
  28. N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).
  29. J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
    [Crossref]
  30. L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation phenomena of nonlinear film-guided waves: a numerical analysis,” Opt. Lett. 11, 590 (1986).
    [Crossref] [PubMed]
  31. J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
    [Crossref] [PubMed]
  32. C. K. R. T. Jones and J. V. Moloney, “Instability of standing waves in nonlinear optical waveguides,” Phys. Lett. 117, 175 (1986).
    [Crossref]
  33. E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
    [Crossref] [PubMed]
  34. L. Leine, C. Wachter, U. Langbein, and F. Lederer, “The evolution of nonlinear guided optical fields down a dielectric film with a nonlinear cladding,” J. Opt. Soc. Am. B 5, 547 (1988).
    [Crossref]
  35. W. F. Ames, Nonlinear Partial Differential Equations in Engineering (Academic, New York, 1965).

1988 (1)

1986 (8)

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation phenomena of nonlinear film-guided waves: a numerical analysis,” Opt. Lett. 11, 590 (1986).
[Crossref] [PubMed]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
[Crossref] [PubMed]

C. K. R. T. Jones and J. V. Moloney, “Instability of standing waves in nonlinear optical waveguides,” Phys. Lett. 117, 175 (1986).
[Crossref]

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

L. G. Bolshinskii and A. I. Lomtev, “Asymmetric waves in a highly nonlinear symmetric layered structure,” Sov. J. Tech. Phys. 56, 817 (1986).

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151 (1986).
[Crossref]

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

1985 (6)

U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
[Crossref]

I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
[Crossref]

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).

K. M. Leung, “P-polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functions,” Phys. Rev. B 32, 5093 (1985).
[Crossref]

L. G. Bolshinskii and A. I. Lomtev, “Highly nonlinear s-polarized surface waves,” Sov. Tech. Phys. Lett. 11, 148 (1985).

1984 (6)

A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
[Crossref]

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
[Crossref]

C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
[Crossref]

A. Boardman and P. Egan, “Theory of optical hysteresis for TE guided waves,” Phil. Trans. R. Soc. London Ser. A 313, 363 (1984).
[Crossref]

H. Vach, C. T. Seaton, G. I. Stegeman, and I. C. Khoo, “Observation of intensity-dependent guided waves,” Opt. Lett. 9, 238 (1984).
[Crossref] [PubMed]

1983 (2)

F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
[Crossref]

M. Y. Yu, “Surface polaritons in nonlinear media,” Phys. Rev. A 28, 1855 (1983).
[Crossref]

1982 (2)

N. N. Akhmediev, “Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure,” Sov. Phys. JETP 56, 229 (1982).

V. K. Fedyanin and D. Mihalache, “P-polarized nonlinear surface polaritons in layered structures,” Z. Phys. B 47, 167 (1982).
[Crossref]

1981 (2)

A. A. Maradudin, “S-polarized nonlinear surface polaritons,” Z. Phys. B 41, 341 (1981).
[Crossref]

V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).

1980 (1)

1979 (1)

A. E. Kaplan, “Longitudinal inhomogeneous traveling waves and their role in the nonlinear light reflection and refraction,” Radiophys. Quantum Electron. 22, 229 (1979).
[Crossref]

1978 (1)

A. E. Kaplan, “Existence criterion of longitudinally inhomogeneous traveling waves in the nonlinear electrodynamics,” Sov. J. Quantum Electron. 8, 95 (1978).
[Crossref]

1977 (1)

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896 (1977).

1976 (1)

A. E. Kaplan, “Hysteresis reflection and refraction by a nonlinear boundary. A new class of effects in nonlinear optics,” Sov. Phys. JETP Lett. 24, 114 (1976).

1972 (1)

M. Miyagi and S. Nishida, “Guided waves in bounded nonlinear medium. II. Dielectric boundaries,” Sci. Rep. Tochoku Univ. B 24, 53 (1972).

1968 (1)

A. G. Litvak and V. A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 11, 1911 (1968).

Agranovich, V. M.

V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).

Akhmediev, N. N.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).

N. N. Akhmediev, “Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure,” Sov. Phys. JETP 56, 229 (1982).

Ames, W. F.

W. F. Ames, Nonlinear Partial Differential Equations in Engineering (Academic, New York, 1965).

Ariyasu, J.

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
[Crossref] [PubMed]

Babichenko, V. S.

V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).

Bennion, I.

I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
[Crossref]

Bertolotti, M.

C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
[Crossref]

Boardman, A.

A. Boardman and P. Egan, “Theory of optical hysteresis for TE guided waves,” Phil. Trans. R. Soc. London Ser. A 313, 363 (1984).
[Crossref]

Boardman, A. D.

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
[Crossref]

Bolshinskii, L. G.

L. G. Bolshinskii and A. I. Lomtev, “Asymmetric waves in a highly nonlinear symmetric layered structure,” Sov. J. Tech. Phys. 56, 817 (1986).

L. G. Bolshinskii and A. I. Lomtev, “Highly nonlinear s-polarized surface waves,” Sov. Tech. Phys. Lett. 11, 148 (1985).

Chernyak, V. Ya.

V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).

Chilwell, J.

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

Egan, P.

A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
[Crossref]

A. Boardman and P. Egan, “Theory of optical hysteresis for TE guided waves,” Phil. Trans. R. Soc. London Ser. A 313, 363 (1984).
[Crossref]

Fedyanin, V. K.

V. K. Fedyanin and D. Mihalache, “P-polarized nonlinear surface polaritons in layered structures,” Z. Phys. B 47, 167 (1982).
[Crossref]

Goodwin, M. J.

I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
[Crossref]

Jones, C. K. R. T.

C. K. R. T. Jones and J. V. Moloney, “Instability of standing waves in nonlinear optical waveguides,” Phys. Lett. 117, 175 (1986).
[Crossref]

Kaplan, A. E.

A. E. Kaplan, “Longitudinal inhomogeneous traveling waves and their role in the nonlinear light reflection and refraction,” Radiophys. Quantum Electron. 22, 229 (1979).
[Crossref]

A. E. Kaplan, “Existence criterion of longitudinally inhomogeneous traveling waves in the nonlinear electrodynamics,” Sov. J. Quantum Electron. 8, 95 (1978).
[Crossref]

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896 (1977).

A. E. Kaplan, “Hysteresis reflection and refraction by a nonlinear boundary. A new class of effects in nonlinear optics,” Sov. Phys. JETP Lett. 24, 114 (1976).

Khoo, I. C.

Korneev, V. I.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).

Kuzmenko, Yu. V.

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).

Langbein, U.

L. Leine, C. Wachter, U. Langbein, and F. Lederer, “The evolution of nonlinear guided optical fields down a dielectric film with a nonlinear cladding,” J. Opt. Soc. Am. B 5, 547 (1988).
[Crossref]

L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation phenomena of nonlinear film-guided waves: a numerical analysis,” Opt. Lett. 11, 590 (1986).
[Crossref] [PubMed]

U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
[Crossref]

F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
[Crossref]

Lederer, F.

L. Leine, C. Wachter, U. Langbein, and F. Lederer, “The evolution of nonlinear guided optical fields down a dielectric film with a nonlinear cladding,” J. Opt. Soc. Am. B 5, 547 (1988).
[Crossref]

L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation phenomena of nonlinear film-guided waves: a numerical analysis,” Opt. Lett. 11, 590 (1986).
[Crossref] [PubMed]

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151 (1986).
[Crossref]

U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
[Crossref]

F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
[Crossref]

Leine, L.

Leung, K. M.

K. M. Leung, “P-polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functions,” Phys. Rev. B 32, 5093 (1985).
[Crossref]

Litvak, A. G.

A. G. Litvak and V. A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 11, 1911 (1968).

Lomtev, A. I.

L. G. Bolshinskii and A. I. Lomtev, “Asymmetric waves in a highly nonlinear symmetric layered structure,” Sov. J. Tech. Phys. 56, 817 (1986).

L. G. Bolshinskii and A. I. Lomtev, “Highly nonlinear s-polarized surface waves,” Sov. Tech. Phys. Lett. 11, 148 (1985).

Mai, X.

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

Maradudin, A. A.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

A. A. Maradudin, “S-polarized nonlinear surface polaritons,” Z. Phys. B 41, 341 (1981).
[Crossref]

Mazilu, D.

D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
[Crossref]

Mihalache, D.

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151 (1986).
[Crossref]

D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
[Crossref]

V. K. Fedyanin and D. Mihalache, “P-polarized nonlinear surface polaritons in layered structures,” Z. Phys. B 47, 167 (1982).
[Crossref]

Mironov, V. A.

A. G. Litvak and V. A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 11, 1911 (1968).

Miyagi, M.

M. Miyagi and S. Nishida, “Guided waves in bounded nonlinear medium. II. Dielectric boundaries,” Sci. Rep. Tochoku Univ. B 24, 53 (1972).

Moloney, J. V.

C. K. R. T. Jones and J. V. Moloney, “Instability of standing waves in nonlinear optical waveguides,” Phys. Lett. 117, 175 (1986).
[Crossref]

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
[Crossref] [PubMed]

Nishida, S.

M. Miyagi and S. Nishida, “Guided waves in bounded nonlinear medium. II. Dielectric boundaries,” Sci. Rep. Tochoku Univ. B 24, 53 (1972).

Ponath, H. E.

U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
[Crossref]

F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
[Crossref]

Seaton, C. T.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
[Crossref] [PubMed]

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

H. Vach, C. T. Seaton, G. I. Stegeman, and I. C. Khoo, “Observation of intensity-dependent guided waves,” Opt. Lett. 9, 238 (1984).
[Crossref] [PubMed]

Sette, D.

C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
[Crossref]

Shen, T. P.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

Shivarova, A.

A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
[Crossref]

Sibilia, C.

C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
[Crossref]

Smith, S. D.

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

Stegeman, G. I.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical evidence for nonstationary, nonlinear, slab-guided waves,” Opt. Lett. 11, 315 (1986).
[Crossref] [PubMed]

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

H. Vach, C. T. Seaton, G. I. Stegeman, and I. C. Khoo, “Observation of intensity-dependent guided waves,” Opt. Lett. 9, 238 (1984).
[Crossref] [PubMed]

Stewart, W. J.

I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
[Crossref]

Tomlinson, W. J.

Totia, H.

D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
[Crossref]

Vach, H.

Wachter, C.

Wachter, Ch.

Wallis, R. F.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

Winful, H. G.

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

Wright, E. M.

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

Wright, E. W.

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

Yu, M. Y.

M. Y. Yu, “Surface polaritons in nonlinear media,” Phys. Rev. A 28, 1855 (1983).
[Crossref]

Appl. Phys. B (1)

F. Lederer, U. Langbein, and H. E. Ponath, “Nonlinear waves guided by a dielectric slab. I. TE-polarization,” Appl. Phys. B 31, 69 (1983).
[Crossref]

Appl. Phys. Lett. (2)

G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, “Nonlinear waves guided by thin films,” Appl. Phys. Lett. 44, 830 (1984).
[Crossref]

J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of nonlinear stationary waves guided by a thin film bounded by nonlinear media,” Appl. Phys. Lett. 48, 826 (1986).
[Crossref]

Appl. Sci. Res. (1)

A. D. Boardman, P. Egan, and A. Shivarova, “TE modes of a layered nonlinear optical waveguide,” Appl. Sci. Res. 41, 345 (1984).
[Crossref]

Electron. Lett. (1)

I. Bennion, M. J. Goodwin, and W. J. Stewart, “Experimental nonlinear optical waveguide,” Electron. Lett. 21, 41 (1985).
[Crossref]

IEEE J. Quantum Electron. (1)

G. I. Stegeman, E. M. Wright, C. T. Seaton, J. V. Moloney, T. P. Shen, A. A. Maradudin, and R. F. Wallis, “Nonlinear slab-guided waves in non-Kerr-like media,” IEEE J. Quantum Electron. QE-22, 977 (1986).
[Crossref]

Izv. Vyssh. Uchebn. Zaved. Radiofiz. (1)

A. G. Litvak and V. A. Mironov, “Surface waves on the separation boundary between nonlinear media,” Izv. Vyssh. Uchebn. Zaved. Radiofiz. 11, 1911 (1968).

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

Opt. Commun. (1)

U. Langbein, F. Lederer, and H. E. Ponath, “Generalized dispersion relation for nonlinear slab-guided waves,” Opt. Commun. 53, 417 (1985).
[Crossref]

Opt. Eng. (1)

C. T. Seaton, X. Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear guided wave applications,” Opt. Eng. 24, 593 (1985).

Opt. Lett. (4)

Phil. Trans. R. Soc. London Ser. A (2)

C. Sibilia, M. Bertolotti, and D. Sette, “Bistable behaviour of light waves in a graded-index planar waveguide with nonlinear substrate,” Phil. Trans. R. Soc. London Ser. A 313, 361 (1984).
[Crossref]

A. Boardman and P. Egan, “Theory of optical hysteresis for TE guided waves,” Phil. Trans. R. Soc. London Ser. A 313, 363 (1984).
[Crossref]

Phys. Lett. (1)

C. K. R. T. Jones and J. V. Moloney, “Instability of standing waves in nonlinear optical waveguides,” Phys. Lett. 117, 175 (1986).
[Crossref]

Phys. Rev. A (2)

E. W. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442 (1986).
[Crossref] [PubMed]

M. Y. Yu, “Surface polaritons in nonlinear media,” Phys. Rev. A 28, 1855 (1983).
[Crossref]

Phys. Rev. B (1)

K. M. Leung, “P-polarized nonlinear surface polaritons in materials with intensity-dependent dielectric functions,” Phys. Rev. B 32, 5093 (1985).
[Crossref]

Phys. Scr. (1)

D. Mihalache, D. Mazilu, and H. Totia, “Bistable states of s-polarized nonlinear waves guided by an asymmetric three layer dielectric structure,” Phys. Scr. 30, 335 (1984).
[Crossref]

Radiophys. Quantum Electron. (1)

A. E. Kaplan, “Longitudinal inhomogeneous traveling waves and their role in the nonlinear light reflection and refraction,” Radiophys. Quantum Electron. 22, 229 (1979).
[Crossref]

Sci. Rep. Tochoku Univ. B (1)

M. Miyagi and S. Nishida, “Guided waves in bounded nonlinear medium. II. Dielectric boundaries,” Sci. Rep. Tochoku Univ. B 24, 53 (1972).

Solid State Commun. (1)

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151 (1986).
[Crossref]

Sov. J. Quantum Electron. (1)

A. E. Kaplan, “Existence criterion of longitudinally inhomogeneous traveling waves in the nonlinear electrodynamics,” Sov. J. Quantum Electron. 8, 95 (1978).
[Crossref]

Sov. J. Tech. Phys. (1)

L. G. Bolshinskii and A. I. Lomtev, “Asymmetric waves in a highly nonlinear symmetric layered structure,” Sov. J. Tech. Phys. 56, 817 (1986).

Sov. Phys. JETP (3)

N. N. Akhmediev, “Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure,” Sov. Phys. JETP 56, 229 (1982).

N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuzmenko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62 (1985).

A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,” Sov. Phys. JETP 45, 896 (1977).

Sov. Phys. JETP Lett. (2)

A. E. Kaplan, “Hysteresis reflection and refraction by a nonlinear boundary. A new class of effects in nonlinear optics,” Sov. Phys. JETP Lett. 24, 114 (1976).

V. M. Agranovich, V. S. Babichenko, and V. Ya. Chernyak, “Nonlinear surface polaritons,” Sov. Phys. JETP Lett. 32, 512 (1981).

Sov. Tech. Phys. Lett. (1)

L. G. Bolshinskii and A. I. Lomtev, “Highly nonlinear s-polarized surface waves,” Sov. Tech. Phys. Lett. 11, 148 (1985).

Z. Phys. B (2)

A. A. Maradudin, “S-polarized nonlinear surface polaritons,” Z. Phys. B 41, 341 (1981).
[Crossref]

V. K. Fedyanin and D. Mihalache, “P-polarized nonlinear surface polaritons in layered structures,” Z. Phys. B 47, 167 (1982).
[Crossref]

Other (1)

W. F. Ames, Nonlinear Partial Differential Equations in Engineering (Academic, New York, 1965).

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Figures (5)

Fig. 1
Fig. 1

Dependence of the effective index β on the power flow. Here ns = 1.55, nf = 1.57, nc = 1.55, n2c = 10−9 m2/W, d = 2 μm, and λ = 0.515 μm.

Fig. 2
Fig. 2

Evolution of the TE0 nonlinear guided-wave field distribtuion |A(x, z)|2 with propagation distance for the higher-order nonlinear cladding (ρ = −2.5). The initial field pattern A02(z) corresponds to β = 1.5671.

Fig. 3
Fig. 3

Same as Fig. 2 but for β = 1.5685.

Fig. 4
Fig. 4

Evolution of the TE0 nonlinear guided-wave field distribution |A(x, z)|2 with propagation distance for the Kerr-law cladding (ρ = 0). The initial field pattern A02(z) corresponds to β = 1.5685.

Fig. 5
Fig. 5

Same as Fig. 2 but for β = 1.5739.

Equations (29)

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= c + α c E 2 + β c E 4 .
E y ( x , z , t ) = ½ E y ( x , z ) exp [ i ( β k 0 x - ω t ) ] + c . c . ,
d 2 E y I d z 2 - k 0 2 q s 2 E y 1 = 0 ,             z < 0 ,
d 2 E y II d z 2 - k 0 2 q f 2 E y II = 0 ,             0 < z < d ,
d 2 E y III d z 2 - k 0 2 q c 2 E y III + k 0 2 α c ( E y III ) 3 + k 0 2 β c ( E y III ) 5 = 0 ,             z > d ,
E y I ( z ) . = α c - 1 / 2 A ˜ exp ( k 0 q s z ) ,             z < 0 ,
E y II ( z ) = α c - 1 / 2 A ˜ [ ( q f + q s ) 2 q f exp ( k 0 q f z ) + ( q f - q s ) 2 q f exp ( - k 0 q f z ) ] ,             0 < z < d ,
E y III ( z ) = 2 q c α c - 1 / 2 { ν 1 / 2 cosh [ 2 k 0 q c ( z - z c ) ] + 1 } - 1 / 2 ,             z > d ,
A ˜ = 2 q c [ ( 1 - u 2 ) ( 1 - u 2 ) + ν 1 / 2 ( 1 + u 2 ) ] 1 / 2 × [ cosh ( k 0 q f d ) + q s q f sinh ( k 0 q f d ) - 1 , ]
u = tanh [ k 0 q c ( z c - d ) ] .
s < β 2 < c + 3 16 ρ .
ρ < 3 16 ( s - c ) .
tanh ( k 0 q f d ) = q f ( w q c - q s ) ( q f 2 - w q s q c ) ,
w = 2 ν 1 / 2 u [ ( ν 1 / 2 + 1 ) + u 2 ( ν 2 - 1 ) ] .
E y I ( z ) = α c - 1 / 2 B ˜ exp ( k 0 q s z ) ,             z < 0 ,
E y II ( z ) = α c - 1 / 2 B ˜ [ cos ( k 0 q ˜ f z ) + q s q ˜ f sin ( k 0 q ˜ f z ) ] ,             0 < z < d .
B ˜ = 2 q c [ ( 1 - u 2 ) ( 1 - u 2 ) + ν 1 / 2 ( 1 + u 2 ) ] 1 / 2 × [ cos ( k 0 q ˜ f d ) + q s q ˜ f sin ( k 0 q ˜ f d ) ] - 1 .
tan ( k 0 q ˜ f d ) = q ˜ f ( q s - w q c ) ( q ˜ f 2 + w q s q c ) .
P = β 2 μ 0 c - E y 2 ( z ) d z .
P s = 1 2 P 0 β A ˜ 2 q s ,
P f = 1 2 P 0 β A ˜ 2 { k 0 d ( 1 - q s 2 q f 2 ) + 1 q f sinh ( k 0 q f d ) × [ ( 1 + q s 2 q f 2 ) cosh ( k 0 q f d ) + 2 q s q f sinh ( k 0 q f d ) ] } ,
P c = 2 P 0 β q c ( 1 - ν ) - 1 / 2 × ln { [ 1 + ν 1 / 2 + ( 1 - ν ) 1 / 2 ] [ 1 + ν 1 / 2 + ( 1 - ν ) 1 / 2 u ] [ 1 + ν 1 / 2 - ( 1 - ν ) 1 / 2 ] [ 1 + ν 1 / 2 - ( 1 - ν ) 1 / 2 u ] } ,
P 0 = ( 0 μ 0 ) 1 / 2 ( 2 k 0 α c ) - 1 .
P s = 1 2 P 0 β B ˜ 2 q s ,
P f = 1 2 P 0 β B ˜ 2 { k 0 d ( 1 + q s 2 q ˜ f 2 ) + 1 q ˜ f sin ( k 0 q ˜ f d ) × [ ( 1 - q s 2 q ˜ f 2 ) cos ( k 0 q ˜ f d ) + 2 q s q ˜ f sin ( k 0 q ˜ f d ) ] } ,
P c = 2 P 0 β q c ( ν - 1 ) - 1 / 2 × { π - arcsin ν 1 / 2 - arcsin [ ( 1 - u 2 ) ν 1 / 2 + ( 1 + u 2 ) ] [ ( 1 - u 2 ) + ν 1 / 2 ( 1 + u 2 ) ] } .
- 2 i β k 0 A x = 2 A z 2 - γ 2 ( z ) k 0 2 A + θ ( z ) k 0 2 A 2 ( 1 + ρ A 2 ) A ,
I ( x , β ) = k 0 - A 2 d z = ( β P 0 ) - 1 P ( β ) ,
H ( x , β ) = k 0 - [ | A z | 2 + k 0 2 γ 2 ( z ) A 2 - 1 2 k 0 2 θ ( z ) ( 1 + 2 ρ 3 A 2 ) A 4 ] d z ,

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