### Citations

36 | Coupled-wave theory of distributed feedback - Kogelnik, Shank - 1972 |

33 | Gap solitons and nonlinear optical response of superlattices,” - Chen, Mills - 1987 |

20 |
Bragg grating solitons,”
- Eggleton, Slusher, et al.
- 1996
(Show Context)
Citation Context ...owing set of equations: 1999 Optical Society of America Yu. A. Logvin and V. M. Volkov Vol. 16, No. 5 /May 1999/J. Opt. Soc. Am. B 775]EF ]z 1 n0 c ]EF ]t 5 ikEB exp~2i2dz ! 1 ig~ uEFu2 1 2uEBu2!EF , =-=(1)-=- ]EB ]z 2 n0 c ]EB ]t 5 2ikEF exp~i2dz ! 2 ig~ uEBu2 1 2uEFu2!EB , (2) where EF (EB) is the normalized slowly varying envelope of the forward (backward) wave, c/n0 is the group velocity of the waves, ... |

20 |
Theory of bistability in nonlinear distributed feedback structure,”
- Winful, Marburger, et al.
- 1979
(Show Context)
Citation Context ... in the paraxial approximation, so the previous equations (1) and (2) should be complemented by the diffraction terms ]EF ]z 1 n0 c ]EF ]t 5 i 1 2k D'EF 1 ikEB exp~2i2d z ! 1 ig ~ uEFu2 1 2uEBu2!EF , =-=(9)-=- ]EB ]z 2 n0 c ]EB ]t 5 2i 1 2k D'EB 2 ikEF exp~i2d z ! 2 ig ~ uEBu2 1 2uEFu2!EB , (10) where k is the number of light waves in the medium and D' is a Laplacian with respect to the transverse coordina... |

12 |
Self-pulsing and chaos in distributed feedback bistable optical devices,”
- Winful, Cooperman
- 1982
(Show Context)
Citation Context ...mented by the diffraction terms ]EF ]z 1 n0 c ]EF ]t 5 i 1 2k D'EF 1 ikEB exp~2i2d z ! 1 ig ~ uEFu2 1 2uEBu2!EF , (9) ]EB ]z 2 n0 c ]EB ]t 5 2i 1 2k D'EB 2 ikEF exp~i2d z ! 2 ig ~ uEBu2 1 2uEFu2!EB , =-=(10)-=- where k is the number of light waves in the medium and D' is a Laplacian with respect to the transverse coordinates. We chose the size of the spatial transverse grid in our simulations by taking into... |

11 |
Nonlinear pulse propagation in Bragg gratings
- Eggleton, Sterke, et al.
- 1997
(Show Context)
Citation Context ...and V. M. Volkov Vol. 16, No. 5 /May 1999/J. Opt. Soc. Am. B 775]EF ]z 1 n0 c ]EF ]t 5 ikEB exp~2i2dz ! 1 ig~ uEFu2 1 2uEBu2!EF , (1) ]EB ]z 2 n0 c ]EB ]t 5 2ikEF exp~i2dz ! 2 ig~ uEBu2 1 2uEFu2!EB , =-=(2)-=- where EF (EB) is the normalized slowly varying envelope of the forward (backward) wave, c/n0 is the group velocity of the waves, k is a coefficient that describes the strength of linear coupling, d i... |

11 | Spatiotemporal dynamics near a codimensiontwo point. Phys. Rev. E54 - Wit, Lima, et al. - 1996 |

7 | Hexagons and squares in a passive nonlinear optical system,’’ Phys - Geddes, Indik, et al. - 1994 |

5 |
Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating, Opt
- Taverner, Broderick, et al.
- 1998
(Show Context)
Citation Context ...t that describes the strength of linear coupling, d is a detuning parameter, and g is a nonlinear phase-modulation coefficient. The boundary conditions EF~z 5 0, t ! 5 F0 , EB~z 5 L, t ! 5 B0 exp~iu! =-=(3)-=- correspond to illumination of a NGB of length L simultaneously from the left and from the right by light fields with intensities uF0u2 and uB0u2, respectively, with a phase difference u between them ... |

5 |
All-optical AND gate based on coupled gap-soliton formation in a fiber Bragg grating
- Taverner, Broderick, et al.
- 1998
(Show Context)
Citation Context ...h a phase difference u between them (see Fig. 1). Introducing EF 5 F exp(ifF) and EB 5 B exp(ifB), we can find time-independent solutions as outlined in Ref. 9. The constants of motion C1 5 F 2 2 B2, =-=(4)-=- C2 5 2kLFB cos c 1 2dLF 2 1 3g LF2B2, (5) where c 5 fB 2 fF 2 2dz, enable us to get an equation for the forward flux IF 5 F 2: S L2 dIFdz D 2 5 ~kL !2IF~IF 2 C1! 2 @C2/2 2 dLIF 2 IF~IF 2 C1!# 2. (6) ... |

4 | Switching dynamics of finite periodic nonlinear media: a numeric study,’’ Phys - Sterke, Sipe - 1990 |

3 | Modulation instability in nonlinear periodic structures: implications for ‘gap solitons - Winful, Zamir, et al. - 1991 |

2 |
Optical bistability in nonlinear periodic structures,’’ Opt
- Herbert, Malcuit
- 1993
(Show Context)
Citation Context ...should start integration with the I2 root of the polynomial, and the explicit form of the solution is I~z/L ! 5 I2~I1 2 I3! 1 I3~I1 2 I2!sn 2@~z 2 0.5!s/L,m# I1 2 I3 1 ~I1 2 I2!sn 2@~z 2 0.5!s/L,m# , =-=(7)-=- where s 5 @(I1 2 I3)(I2 2 I4)# 1/2, m 5 (I1 2 I2)(I3 2 I4)/(I1 2 I3)(I2 2 I4), and sn is a Jacobian elliptical function, whereas the dashed curve is given by I~z/L ! 5 I1~I2 2 I4! 1 I4~I1 2 I2!sn 2@~... |

2 |
All-optical bistable switching and signal regeneration in a semiconductor layered distributed-feedback/Fabry–Perot structure
- He, Cada, et al.
- 1993
(Show Context)
Citation Context .../(I1 2 I3)(I2 2 I4), and sn is a Jacobian elliptical function, whereas the dashed curve is given by I~z/L ! 5 I1~I2 2 I4! 1 I4~I1 2 I2!sn 2@~0.5 2 z !s/L,m# I2 2 I4 1 ~I1 2 I2!sn 2@~0.5 2 z !s/L,m# , =-=(8)-=- where the maximal root I1 is taken as a starting point for integration.22 To gain an insight into the response of the grating at arbitrary phase u we present Figs. 5(b) and 5(c), which correspond to ... |

1 |
Nonlinear contradirectional coupler
- Campi, Coriasso, et al.
- 1998
(Show Context)
Citation Context ...ig. 1). Introducing EF 5 F exp(ifF) and EB 5 B exp(ifB), we can find time-independent solutions as outlined in Ref. 9. The constants of motion C1 5 F 2 2 B2, (4) C2 5 2kLFB cos c 1 2dLF 2 1 3g LF2B2, =-=(5)-=- where c 5 fB 2 fF 2 2dz, enable us to get an equation for the forward flux IF 5 F 2: S L2 dIFdz D 2 5 ~kL !2IF~IF 2 C1! 2 @C2/2 2 dLIF 2 IF~IF 2 C1!# 2. (6) Unidirectional illumination implies that C... |

1 |
All-optical switching in a nonlinear periodic structures
- Sankey, Prelewitz, et al.
- 1992
(Show Context)
Citation Context ... (4) C2 5 2kLFB cos c 1 2dLF 2 1 3g LF2B2, (5) where c 5 fB 2 fF 2 2dz, enable us to get an equation for the forward flux IF 5 F 2: S L2 dIFdz D 2 5 ~kL !2IF~IF 2 C1! 2 @C2/2 2 dLIF 2 IF~IF 2 C1!# 2. =-=(6)-=- Unidirectional illumination implies that C2 5 0 and C1 Þ 0. The opposite case, C2 Þ 0 and C1 5 0, corresponds to illumination of the NBG by light of equal intensity from both sides. Finding four zero... |

1 | Slow Bragg soli-uniform nonlinear distributed feedback structures: generalized transfer matrix method - Christodoulides, Joseph - 1995 |

1 | Trapping of slowly moving or stationary two-color gap solitons - Conti, Trillo, et al. - 1998 |

1 | Self-oscillations of an induced absorber (CdS) in a hybrid ring resonator,’’ Phys - Wegener, Klingshirn - 1987 |

1 | Spatio-temporal chaos in a ring cavity - Galbraith, Haug - 1987 |

1 | Map limit dynamics of the chain of optically bistable thin films,’’ Opt - Logvin, Samson - 1992 |

1 | Bistability and symmetry breaking in distributed coupling of counterpropagating beams into nonlinear waveguides,’’ Phys - Peschel, Peschel, et al. - 1994 |

1 | Symmetry breaking bifurcation in light dynamics of two bistable thin films,’’ Kvantovaya Elekron - Logvin, Loiko - 1998 |

1 | Nonreciprocal optical patterns due to symmetry breaking,’’ Phys - Logvin - 1998 |

1 | Analysis and design of combined distributed feedback/Fabry Perot structures for surface emitting semiconductor lasers - Zhon, Cada, et al. - 1996 |

1 | Efendiev, ‘‘Spectrum of the transverse modes of a laser with static distributed feedback by a phase grating,’’ Kvantovaya Elektron - Afanas’ev, Volkov, et al. - 1997 |

1 | Triadic Hopf-static structures in twodimensional optical pattern formation,’’ Phys - Logvin, Samson, et al. - 1996 |

1 | Winking hexagons,’’ Europhys - Logvin, Ackemann, et al. - 1997 |