M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).

[CrossRef]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, "Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide," Opt. Lett. 24, 127-129 (1999).

[CrossRef]

C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).

[CrossRef]

G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).

[CrossRef]

J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Melinger, "Backward second-harmonic generation in periodically poled bulk LiNbO3," Opt. Lett. 22, 862-864 (1997).

[CrossRef]
[PubMed]

M. Matsumoto and K. Tanaka, "Quasi-phase-matched second-harmonic generation by backward propagating interaction," IEEE J. Quantum Electron. 31, 700-705 (1995).

[CrossRef]

C. Richy, K. I. Petsas, E. Giacobino, C. Fabre, and L. Lugiato, "Observation of bistability and delayed bifurcation in a triply resonant optical parametric oscillator," J. Opt. Soc. Am. B 12, 456-461 (1995).

[CrossRef]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, "Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).

[CrossRef]

C. M. de Sterke, "Stability analysis of nonlinear periodic media," Phys. Rev. A 45, 8252-8258 (1992).

[CrossRef]
[PubMed]

P. St. J. Russell, "Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms," IEEE J. Quantum Electron. 27, 830-835 (1991).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

H. G. Winful and G. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices," Appl. Phys. Lett. 40, 298-300 (1982).

[CrossRef]

Y. Silberberg and I. Bar-Joseph, "Instabilities, self-oscillation and chaos in a simple nonlinear optical interaction," Phys. Rev. Lett. 48, 1541-1544 (1982).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).

[CrossRef]

K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).

[CrossRef]

S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).

[CrossRef]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

Y. Silberberg and I. Bar-Joseph, "Instabilities, self-oscillation and chaos in a simple nonlinear optical interaction," Phys. Rev. Lett. 48, 1541-1544 (1982).

[CrossRef]

A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).

[CrossRef]

H. G. Winful and G. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices," Appl. Phys. Lett. 40, 298-300 (1982).

[CrossRef]

G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).

[CrossRef]

C. M. de Sterke, "Stability analysis of nonlinear periodic media," Phys. Rev. A 45, 8252-8258 (1992).

[CrossRef]
[PubMed]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, "Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide," Opt. Lett. 24, 127-129 (1999).

[CrossRef]

J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Melinger, "Backward second-harmonic generation in periodically poled bulk LiNbO3," Opt. Lett. 22, 862-864 (1997).

[CrossRef]
[PubMed]

K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).

[CrossRef]

C. Richy, K. I. Petsas, E. Giacobino, C. Fabre, and L. Lugiato, "Observation of bistability and delayed bifurcation in a triply resonant optical parametric oscillator," J. Opt. Soc. Am. B 12, 456-461 (1995).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).

[CrossRef]

C. Richy, K. I. Petsas, E. Giacobino, C. Fabre, and L. Lugiato, "Observation of bistability and delayed bifurcation in a triply resonant optical parametric oscillator," J. Opt. Soc. Am. B 12, 456-461 (1995).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, 1983).

[CrossRef]

S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).

[CrossRef]

J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, 1983).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

L. A. Lugiato and R. Lefevre, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

P. M. Lushnikov, P. Lodhal, and M. Saffman, "Transverse modulational instability of counterpropagating quasi-phase-matching beams in a quadratically nonlinear medium," Opt. Lett. 23, 1650-1652 (1998).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

L. A. Lugiato and R. Lefevre, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).

[CrossRef]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

M. Matsumoto and K. Tanaka, "Quasi-phase-matched second-harmonic generation by backward propagating interaction," IEEE J. Quantum Electron. 31, 700-705 (1995).

[CrossRef]

K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).

[CrossRef]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, "Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide," Opt. Lett. 24, 127-129 (1999).

[CrossRef]

G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).

[CrossRef]

P. St. J. Russell, "Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms," IEEE J. Quantum Electron. 27, 830-835 (1991).

[CrossRef]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

P. M. Lushnikov, P. Lodhal, and M. Saffman, "Transverse modulational instability of counterpropagating quasi-phase-matching beams in a quadratically nonlinear medium," Opt. Lett. 23, 1650-1652 (1998).

[CrossRef]

Y. Silberberg and I. Bar-Joseph, "Instabilities, self-oscillation and chaos in a simple nonlinear optical interaction," Phys. Rev. Lett. 48, 1541-1544 (1982).

[CrossRef]

M. Matsumoto and K. Tanaka, "Quasi-phase-matched second-harmonic generation by backward propagating interaction," IEEE J. Quantum Electron. 31, 700-705 (1995).

[CrossRef]

A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).

[CrossRef]

A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).

[CrossRef]

S. Trillo and M. Haelterman, "Pulse train generation through modulational instability in intracavity second-harmonic generation," Opt. Lett. 21, 1114-1116 (1996).

[CrossRef]
[PubMed]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, "Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).

[CrossRef]

A. Mecozzi, S. Trillo, and S. Wabnitz, "Spatial instabilities, all-optical limiting and thresholding in nonlinear distributed-feedback devices," Opt. Lett. 12, 1008-1010 (1987).

[CrossRef]
[PubMed]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, "Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).

[CrossRef]

A. Mecozzi, S. Trillo, and S. Wabnitz, "Spatial instabilities, all-optical limiting and thresholding in nonlinear distributed-feedback devices," Opt. Lett. 12, 1008-1010 (1987).

[CrossRef]
[PubMed]

K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).

[CrossRef]

G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).

[CrossRef]

H. G. Winful and G. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices," Appl. Phys. Lett. 40, 298-300 (1982).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).

[CrossRef]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).

[CrossRef]

H. G. Winful and G. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices," Appl. Phys. Lett. 40, 298-300 (1982).

[CrossRef]

P. St. J. Russell, "Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms," IEEE J. Quantum Electron. 27, 830-835 (1991).

[CrossRef]

M. Matsumoto and K. Tanaka, "Quasi-phase-matched second-harmonic generation by backward propagating interaction," IEEE J. Quantum Electron. 31, 700-705 (1995).

[CrossRef]

L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).

[CrossRef]

K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).

[CrossRef]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, "Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide," Opt. Commun. 181, 153-159 (2000).

[CrossRef]

P. M. Lushnikov, P. Lodhal, and M. Saffman, "Transverse modulational instability of counterpropagating quasi-phase-matching beams in a quadratically nonlinear medium," Opt. Lett. 23, 1650-1652 (1998).

[CrossRef]

J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Melinger, "Backward second-harmonic generation in periodically poled bulk LiNbO3," Opt. Lett. 22, 862-864 (1997).

[CrossRef]
[PubMed]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, "Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide," Opt. Lett. 24, 127-129 (1999).

[CrossRef]

S. Trillo and M. Haelterman, "Pulse train generation through modulational instability in intracavity second-harmonic generation," Opt. Lett. 21, 1114-1116 (1996).

[CrossRef]
[PubMed]

A. Mecozzi, S. Trillo, and S. Wabnitz, "Spatial instabilities, all-optical limiting and thresholding in nonlinear distributed-feedback devices," Opt. Lett. 12, 1008-1010 (1987).

[CrossRef]
[PubMed]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, "Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).

[CrossRef]

C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).

[CrossRef]

A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).

[CrossRef]

M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).

[CrossRef]

C. M. de Sterke, "Stability analysis of nonlinear periodic media," Phys. Rev. A 45, 8252-8258 (1992).

[CrossRef]
[PubMed]

G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

Y. Silberberg and I. Bar-Joseph, "Instabilities, self-oscillation and chaos in a simple nonlinear optical interaction," Phys. Rev. Lett. 48, 1541-1544 (1982).

[CrossRef]

L. A. Lugiato and R. Lefevre, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, 1983).

[CrossRef]