Abstract

Nonlinear interaction of coherent intensive optical radiation with continuous resonant photonic crystal (RPC) is analytically and numerically studied in the framework of semiclassical approach using the two-wave Maxwell–Bloch equations. The analytical solution being the gap soliton of self-induced transparency is obtained in the case of an initially unexcited continuous RPC. This solution is confirmed numerically. Influence of both initial inversion and resonant atom concentration function profile on the pulse dynamics in continuous RPC is analyzed. Suppression of the Bragg reflection and a “quasi-linear” 2π pulse propagation in the case of zero initial inversion in continuous RPC is shown. The possibility of laser pulse compression using slow spatial changing of resonant atom concentration is demonstrated.

© 2013 Optical Society of America

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  1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  2. K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
    [CrossRef]
  3. Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).
    [CrossRef]
  4. B. I. Mantsyzov and R. N. Kuzmin, “Coherent interaction of light with a discrete periodic resonant medium,” Zh. Eksp. Teor. Fiz. 91, 65–77 (1986) [Sov. Phys. JETP 64, 37–44 (1986)].
  5. A. Kozhekin and G. Kurizki, “Self-induced transparency in Bragg reflectors: gap solitons near absorption resonators,” Phys. Rev. Lett. 74, 5020–5023 (1995).
    [CrossRef]
  6. N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876–3895 (1998).
    [CrossRef]
  7. E. V. Kazantseva and A. I. Maimistov, “Polaritonic gap-soliton propagation through a wide defect in a resonantly absorbing Bragg grating,” Phys. Rev. B 79, 033812 (2009).
  8. R. A. Vlasov and A. M. Lemeza, “Bistable moving optical solitons in resonant photonic crystal,” Phys. Rev. A 84, 023828 (2011).
    [CrossRef]
  9. W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
    [CrossRef]
  10. D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).
    [CrossRef]
  11. A. B. Aceves and S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic media,” Phys. Lett. A 141, 37–42 (1989).
    [CrossRef]
  12. J. T. Mok, C. M. deSterke, and B. J. Eggleton, “Delay-tunable gap-soliton-based slow-light system,” Opt. Express 14, 11987–11996 (2006).
    [CrossRef]
  13. J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
    [CrossRef]
  14. C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).
    [CrossRef]
  15. C. Conti, G. Assanto, and S. Trillo, “Self-sustained trapping mechanism of zero-velocity parametric gap-solitons,” Phys. Rev. E 59, 2467–2470 (1999).
    [CrossRef]
  16. B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2pi-pulses,” J. Opt. Soc. Am. B 19, 2203–2207 (2002).
    [CrossRef]
  17. B. I. Mantsyzov, “Optical zoomeron as a result of beatings of the internal modes of a bragg soliton,” JETP Lett. 82, 253–258 (2005).
    [CrossRef]
  18. B. I. Mantsyzov, I. V. Mel’nikov, and J. S. Aitchison, “Controlling light by light in a one-dimensional resonant photonic crystal,” Phys. Rev. E 69, 055602 (2004).
    [CrossRef]
  19. W. N. Xiao, J. Y. Zhou, and J. P. Prineas, “Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector,” Opt. Express 11, 3277–3288 (2003).
    [CrossRef]
  20. W. Xiao, “Trapping gap solitons in a resonant photonic crystal of finite length,” Phys. Rev. E 75, 066610 (2007).
    [CrossRef]
  21. S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
    [CrossRef]
  22. S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
    [CrossRef]
  23. B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).
  24. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).
  25. F. Arecchi and E. Courtens, “Cooperative phenomena in resonant electromagnetic propagation,” Phys. Rev. A 2, 1730–1737 (1970).
    [CrossRef]

2012 (2)

S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
[CrossRef]

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

2011 (2)

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).
[CrossRef]

R. A. Vlasov and A. M. Lemeza, “Bistable moving optical solitons in resonant photonic crystal,” Phys. Rev. A 84, 023828 (2011).
[CrossRef]

2009 (1)

E. V. Kazantseva and A. I. Maimistov, “Polaritonic gap-soliton propagation through a wide defect in a resonantly absorbing Bragg grating,” Phys. Rev. B 79, 033812 (2009).

2007 (2)

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

W. Xiao, “Trapping gap solitons in a resonant photonic crystal of finite length,” Phys. Rev. E 75, 066610 (2007).
[CrossRef]

2006 (3)

J. T. Mok, C. M. deSterke, and B. J. Eggleton, “Delay-tunable gap-soliton-based slow-light system,” Opt. Express 14, 11987–11996 (2006).
[CrossRef]

B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

2005 (1)

B. I. Mantsyzov, “Optical zoomeron as a result of beatings of the internal modes of a bragg soliton,” JETP Lett. 82, 253–258 (2005).
[CrossRef]

2004 (1)

B. I. Mantsyzov, I. V. Mel’nikov, and J. S. Aitchison, “Controlling light by light in a one-dimensional resonant photonic crystal,” Phys. Rev. E 69, 055602 (2004).
[CrossRef]

2003 (1)

2002 (1)

1999 (1)

C. Conti, G. Assanto, and S. Trillo, “Self-sustained trapping mechanism of zero-velocity parametric gap-solitons,” Phys. Rev. E 59, 2467–2470 (1999).
[CrossRef]

1998 (1)

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876–3895 (1998).
[CrossRef]

1997 (1)

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).
[CrossRef]

1995 (1)

A. Kozhekin and G. Kurizki, “Self-induced transparency in Bragg reflectors: gap solitons near absorption resonators,” Phys. Rev. Lett. 74, 5020–5023 (1995).
[CrossRef]

1989 (2)

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).
[CrossRef]

A. B. Aceves and S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic media,” Phys. Lett. A 141, 37–42 (1989).
[CrossRef]

1987 (1)

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[CrossRef]

1986 (1)

B. I. Mantsyzov and R. N. Kuzmin, “Coherent interaction of light with a discrete periodic resonant medium,” Zh. Eksp. Teor. Fiz. 91, 65–77 (1986) [Sov. Phys. JETP 64, 37–44 (1986)].

1970 (1)

F. Arecchi and E. Courtens, “Cooperative phenomena in resonant electromagnetic propagation,” Phys. Rev. A 2, 1730–1737 (1970).
[CrossRef]

Aceves, A. B.

A. B. Aceves and S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic media,” Phys. Lett. A 141, 37–42 (1989).
[CrossRef]

Agrawal, G. P.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Aitchison, J. S.

B. I. Mantsyzov, I. V. Mel’nikov, and J. S. Aitchison, “Controlling light by light in a one-dimensional resonant photonic crystal,” Phys. Rev. E 69, 055602 (2004).
[CrossRef]

Akozbek, N.

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876–3895 (1998).
[CrossRef]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).

Arecchi, F.

F. Arecchi and E. Courtens, “Cooperative phenomena in resonant electromagnetic propagation,” Phys. Rev. A 2, 1730–1737 (1970).
[CrossRef]

Assanto, G.

C. Conti, G. Assanto, and S. Trillo, “Self-sustained trapping mechanism of zero-velocity parametric gap-solitons,” Phys. Rev. E 59, 2467–2470 (1999).
[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).
[CrossRef]

Busch, K.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Bushuev, V. A.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Chekalin, S. V.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Chen, W.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[CrossRef]

Christodoulides, D. N.

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).
[CrossRef]

Conti, C.

C. Conti, G. Assanto, and S. Trillo, “Self-sustained trapping mechanism of zero-velocity parametric gap-solitons,” Phys. Rev. E 59, 2467–2470 (1999).
[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).
[CrossRef]

Courtens, E.

F. Arecchi and E. Courtens, “Cooperative phenomena in resonant electromagnetic propagation,” Phys. Rev. A 2, 1730–1737 (1970).
[CrossRef]

deSterke, C. M.

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

J. T. Mok, C. M. deSterke, and B. J. Eggleton, “Delay-tunable gap-soliton-based slow-light system,” Opt. Express 14, 11987–11996 (2006).
[CrossRef]

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).

Eggleton, B. J.

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

J. T. Mok, C. M. deSterke, and B. J. Eggleton, “Delay-tunable gap-soliton-based slow-light system,” Opt. Express 14, 11987–11996 (2006).
[CrossRef]

Fedotov, M. V.

B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).

John, S.

N. Akozbek and S. John, “Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,” Phys. Rev. E 58, 3876–3895 (1998).
[CrossRef]

Joseph, R. I.

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).
[CrossRef]

Kartashov, Y. V.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).
[CrossRef]

Kazantseva, E. V.

E. V. Kazantseva and A. I. Maimistov, “Polaritonic gap-soliton propagation through a wide defect in a resonantly absorbing Bragg grating,” Phys. Rev. B 79, 033812 (2009).

Kivshar, Yu. S.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Kompanets, V. O.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Kozhekin, A.

A. Kozhekin and G. Kurizki, “Self-induced transparency in Bragg reflectors: gap solitons near absorption resonators,” Phys. Rev. Lett. 74, 5020–5023 (1995).
[CrossRef]

Kurizki, G.

A. Kozhekin and G. Kurizki, “Self-induced transparency in Bragg reflectors: gap solitons near absorption resonators,” Phys. Rev. Lett. 74, 5020–5023 (1995).
[CrossRef]

Kuzmin, R. N.

B. I. Mantsyzov and R. N. Kuzmin, “Coherent interaction of light with a discrete periodic resonant medium,” Zh. Eksp. Teor. Fiz. 91, 65–77 (1986) [Sov. Phys. JETP 64, 37–44 (1986)].

Lemeza, A. M.

R. A. Vlasov and A. M. Lemeza, “Bistable moving optical solitons in resonant photonic crystal,” Phys. Rev. A 84, 023828 (2011).
[CrossRef]

Linder, S.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Littler, I. C.

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

Maidykovskiy, A. I.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Maimistov, A. I.

E. V. Kazantseva and A. I. Maimistov, “Polaritonic gap-soliton propagation through a wide defect in a resonantly absorbing Bragg grating,” Phys. Rev. B 79, 033812 (2009).

Malomed, B. A.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).
[CrossRef]

Mantsyzov, B. I.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).

B. I. Mantsyzov, “Optical zoomeron as a result of beatings of the internal modes of a bragg soliton,” JETP Lett. 82, 253–258 (2005).
[CrossRef]

B. I. Mantsyzov, I. V. Mel’nikov, and J. S. Aitchison, “Controlling light by light in a one-dimensional resonant photonic crystal,” Phys. Rev. E 69, 055602 (2004).
[CrossRef]

B. I. Mantsyzov and R. A. Silnikov, “Unstable excited and stable oscillating gap 2pi-pulses,” J. Opt. Soc. Am. B 19, 2203–2207 (2002).
[CrossRef]

B. I. Mantsyzov and R. N. Kuzmin, “Coherent interaction of light with a discrete periodic resonant medium,” Zh. Eksp. Teor. Fiz. 91, 65–77 (1986) [Sov. Phys. JETP 64, 37–44 (1986)].

Maydykovsky, A. I.

S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
[CrossRef]

Mel’nikov, I. V.

B. I. Mantsyzov, I. V. Mel’nikov, and J. S. Aitchison, “Controlling light by light in a one-dimensional resonant photonic crystal,” Phys. Rev. E 69, 055602 (2004).
[CrossRef]

Mills, D. L.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[CrossRef]

Mingaleev, S.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Mok, J. T.

J. T. Mok, C. M. deSterke, and B. J. Eggleton, “Delay-tunable gap-soliton-based slow-light system,” Opt. Express 14, 11987–11996 (2006).
[CrossRef]

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

Murzina, T. V.

S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
[CrossRef]

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Petrov, E. V.

B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).

Prineas, J. P.

Silnikov, R. A.

Skorynin, A. A.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Svyahovskiy, S. E.

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

Svyakhovskiy, S. E.

S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
[CrossRef]

Tkeshelashvili, L.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Torner, L.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).
[CrossRef]

Trillo, S.

C. Conti, G. Assanto, and S. Trillo, “Self-sustained trapping mechanism of zero-velocity parametric gap-solitons,” Phys. Rev. E 59, 2467–2470 (1999).
[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).
[CrossRef]

Vlasov, R. A.

R. A. Vlasov and A. M. Lemeza, “Bistable moving optical solitons in resonant photonic crystal,” Phys. Rev. A 84, 023828 (2011).
[CrossRef]

Von Freymann, G.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Wabnitz, S.

A. B. Aceves and S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic media,” Phys. Lett. A 141, 37–42 (1989).
[CrossRef]

Wegener, M.

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Xiao, W.

W. Xiao, “Trapping gap solitons in a resonant photonic crystal of finite length,” Phys. Rev. E 75, 066610 (2007).
[CrossRef]

Xiao, W. N.

Zhou, J. Y.

Bull. Russ. Acad. Sci., Phys. (1)

B. I. Mantsyzov, E. V. Petrov, and M. V. Fedotov, “Gap soliton of self-induced transparency in periodic structure with arbitrary modulated density of resonant atoms,” Bull. Russ. Acad. Sci., Phys. 70, 167–173 (2006).

J. Appl. Phys. (1)

S. E. Svyakhovskiy, A. I. Maydykovsky, and T. V. Murzina, “Mesoporous silicon photonic structures of thousands of periods,” J. Appl. Phys. 112, 013106 (2012).
[CrossRef]

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

JETP Lett. (1)

B. I. Mantsyzov, “Optical zoomeron as a result of beatings of the internal modes of a bragg soliton,” JETP Lett. 82, 253–258 (2005).
[CrossRef]

Nat. Phys. (1)

J. T. Mok, C. M. deSterke, I. C. Littler, and B. J. Eggleton, “Dispersionless slow light using gap soliton,” Nat. Phys. 2, 775–780 (2006).
[CrossRef]

Opt. Express (2)

Phys. Lett. A (1)

A. B. Aceves and S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic media,” Phys. Lett. A 141, 37–42 (1989).
[CrossRef]

Phys. Rep. (1)

K. Busch, G. Von Freymann, S. Linder, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101–202 (2007).
[CrossRef]

Phys. Rev. A (3)

R. A. Vlasov and A. M. Lemeza, “Bistable moving optical solitons in resonant photonic crystal,” Phys. Rev. A 84, 023828 (2011).
[CrossRef]

S. E. Svyahovskiy, V. O. Kompanets, A. I. Maidykovskiy, T. V. Murzina, S. V. Chekalin, V. A. Bushuev, A. A. Skorynin, and B. I. Mantsyzov, “Observation of diffraction-induced laser pulse splitting in a photonic crystal,” Phys. Rev. A 86013843 (2012).
[CrossRef]

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