Abstract

In this Letter, we study the excitation of gap solitons under the conditions of coherent perfect absorption. Our system consists of a symmetric periodic structure with alternating Kerr nonlinear and linear layers illuminated from both ends. We show near-total transfer of incident light energy into the gap solitons resulting in null scattering. We also report on the nonlinear super-scattering states. Both the exact and the approximate results, which show good agreement based on nonlinear characteristic matrix methods, are presented.

© 2014 Optical Society of America

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References

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  1. S. Dutta Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, 1998), Vol. 38, p. 1.
  2. Z. Zang, Appl. Opt. 52, 5701 (2013).
    [CrossRef]
  3. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
    [CrossRef]
  4. Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
    [CrossRef]
  5. H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
    [CrossRef]
  6. F. K. Abdullaev, V. A. Brazhnyi, and M. Salerno, Phys. Rev. A 88, 043829 (2013).
    [CrossRef]
  7. A. Mostafazadeh, Phys. Rev. Lett. 110, 260402 (2013).
    [CrossRef]
  8. W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
    [CrossRef]
  9. W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987).
    [CrossRef]
  10. S. Dutta Gupta, J. Opt. Soc. Am. B 6, 1927 (1989).
    [CrossRef]
  11. C. M. de Sterke and J. E. Sipe, in Progress in Optics,” E. Wolf, ed. (Elsevier, 1994), Vol. 34.
  12. H. Sakaguchi and B. A. Malomed, Phys. Rev. A 81, 013624 (2010).
    [CrossRef]
  13. S. Dutta Gupta and G. S. Agarwal, J. Opt. Soc. Am. B 4, 691 (1987).
    [CrossRef]
  14. J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
    [CrossRef]
  15. W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
    [CrossRef]
  16. S. Longhi, Phys. Rev. A 82, 031801(R) (2010).
    [CrossRef]
  17. S. Dutta-Gupta, O. J. F. Martin, S. Dutta Gupta, and G. S. Agarwal, Opt. Express 20, 1330 (2012).
    [CrossRef]
  18. S. Dutta-Gupta, R. Deshmukh, A. V. Gopal, O. J. F. Martin, and S. Dutta Gupta, Opt. Lett. 37, 4452 (2012).
    [CrossRef]
  19. S. Longhi, Phys. Rev. Lett. 107, 033901 (2011).
    [CrossRef]
  20. K. N. Reddy, A. V. Gopal, and S. Dutta Gupta, Opt. Lett. 38, 2517 (2013).
    [CrossRef]
  21. K. N. Reddy and S. Dutta Gupta, Opt. Lett. 38, 5252 (2013).
    [CrossRef]
  22. S. Dutta Gupta and D. S. Ray, Phys. Rev. B 41, 8048 (1990).
  23. I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
    [CrossRef]
  24. D. Golla, S. Deb, and S. Dutta Gupta, Eur. Phys. J. Appl. Phys. 53, 10702 (2011).
    [CrossRef]
  25. P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

2013 (5)

2012 (3)

2011 (4)

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

S. Longhi, Phys. Rev. Lett. 107, 033901 (2011).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

D. Golla, S. Deb, and S. Dutta Gupta, Eur. Phys. J. Appl. Phys. 53, 10702 (2011).
[CrossRef]

2010 (2)

S. Longhi, Phys. Rev. A 82, 031801(R) (2010).
[CrossRef]

H. Sakaguchi and B. A. Malomed, Phys. Rev. A 81, 013624 (2010).
[CrossRef]

2008 (1)

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

2006 (1)

I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
[CrossRef]

1990 (1)

S. Dutta Gupta and D. S. Ray, Phys. Rev. B 41, 8048 (1990).

1989 (1)

1987 (3)

S. Dutta Gupta and G. S. Agarwal, J. Opt. Soc. Am. B 4, 691 (1987).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987).
[CrossRef]

1978 (1)

J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
[CrossRef]

Abdullaev, F. K.

F. K. Abdullaev, V. A. Brazhnyi, and M. Salerno, Phys. Rev. A 88, 043829 (2013).
[CrossRef]

Agarwal, G. S.

Brazhnyi, V. A.

F. K. Abdullaev, V. A. Brazhnyi, and M. Salerno, Phys. Rev. A 88, 043829 (2013).
[CrossRef]

Cao, H.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Chen, W.

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987).
[CrossRef]

Chong, Y. D.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Christodoulides, D. N.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

de Sterke, C. M.

C. M. de Sterke and J. E. Sipe, in Progress in Optics,” E. Wolf, ed. (Elsevier, 1994), Vol. 34.

Deb, S.

D. Golla, S. Deb, and S. Dutta Gupta, Eur. Phys. J. Appl. Phys. 53, 10702 (2011).
[CrossRef]

Deshmukh, R.

Dutta Gupta, S.

Dutta-Gupta, S.

Eichelkraut, T.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

El-Ganainy, R.

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

Felber, F. S.

J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
[CrossRef]

Ge, L.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Golla, D.

D. Golla, S. Deb, and S. Dutta Gupta, Eur. Phys. J. Appl. Phys. 53, 10702 (2011).
[CrossRef]

Gopal, A. V.

He, W.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

He, Y.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Hooper, I. R.

I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
[CrossRef]

Kottos, T.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

Li, H.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Lin, Z.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

Longhi, S.

S. Longhi, Phys. Rev. Lett. 107, 033901 (2011).
[CrossRef]

S. Longhi, Phys. Rev. A 82, 031801(R) (2010).
[CrossRef]

Makris, K. G.

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

Malomed, B. A.

H. Sakaguchi and B. A. Malomed, Phys. Rev. A 81, 013624 (2010).
[CrossRef]

Marburger, J. H.

J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
[CrossRef]

Martin, O. J. F.

Mills, D. L.

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987).
[CrossRef]

Mostafazadeh, A.

A. Mostafazadeh, Phys. Rev. Lett. 110, 260402 (2013).
[CrossRef]

Musslimani, Z. H.

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

Noh, H.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Preist, T. W.

I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
[CrossRef]

Ramezani, H.

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

Ray, D. S.

S. Dutta Gupta and D. S. Ray, Phys. Rev. B 41, 8048 (1990).

Reddy, K. N.

Sakaguchi, H.

H. Sakaguchi and B. A. Malomed, Phys. Rev. A 81, 013624 (2010).
[CrossRef]

Salerno, M.

F. K. Abdullaev, V. A. Brazhnyi, and M. Salerno, Phys. Rev. A 88, 043829 (2013).
[CrossRef]

Sambles, J. R.

I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
[CrossRef]

Sipe, J. E.

C. M. de Sterke and J. E. Sipe, in Progress in Optics,” E. Wolf, ed. (Elsevier, 1994), Vol. 34.

Stone, A. D.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Wan, W.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Wang, H.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

Zang, Z.

Zheng, L.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Zhu, X.

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Appl. Opt. (1)

Eur. Phys. J. Appl. Phys. (1)

D. Golla, S. Deb, and S. Dutta Gupta, Eur. Phys. J. Appl. Phys. 53, 10702 (2011).
[CrossRef]

J. Opt. Soc. Am. B (2)

J. Phys. B (1)

H. Wang, W. He, L. Zheng, X. Zhu, H. Li, and Y. He, J. Phys. B 45, 245401 (2012).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. A (4)

H. Sakaguchi and B. A. Malomed, Phys. Rev. A 81, 013624 (2010).
[CrossRef]

S. Longhi, Phys. Rev. A 82, 031801(R) (2010).
[CrossRef]

J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
[CrossRef]

F. K. Abdullaev, V. A. Brazhnyi, and M. Salerno, Phys. Rev. A 88, 043829 (2013).
[CrossRef]

Phys. Rev. B (2)

W. Chen and D. L. Mills, Phys. Rev. B 36, 6269 (1987).
[CrossRef]

S. Dutta Gupta and D. S. Ray, Phys. Rev. B 41, 8048 (1990).

Phys. Rev. Lett. (6)

I. R. Hooper, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett. 97, 053902 (2006).
[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. 100, 030402 (2008).
[CrossRef]

Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213901 (2011).
[CrossRef]

A. Mostafazadeh, Phys. Rev. Lett. 110, 260402 (2013).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef]

S. Longhi, Phys. Rev. Lett. 107, 033901 (2011).
[CrossRef]

Science (1)

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Other (3)

C. M. de Sterke and J. E. Sipe, in Progress in Optics,” E. Wolf, ed. (Elsevier, 1994), Vol. 34.

S. Dutta Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, 1998), Vol. 38, p. 1.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

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Figures (5)

Fig. 1.
Fig. 1.

Schematic view of the symmetric periodic layered medium with N periods consisting of a and b type layers. The a (b) type layer is nonlinear (linear) with dielectric function ϵ¯a (ϵb) and width da (db). Keeping symmetry in view we have labeled the layers from the central one.

Fig. 2.
Fig. 2.

Linear response, (a) R (dashed) and T (solid) as a function of θ for unidirectional illumination; (b) log10S versus θ for bidirectional illumination for symmetric (solid) and antisymmetric (dashed) solutions. The CPA-like dips are labeled from the extreme right with even (odd) integers for symmetric (antisymmetric) cases.

Fig. 3.
Fig. 3.

Nonlinear response for bidirectional illumination. log10S as a function of Ui for θ=44.81° for (a) symmetric and (b) antisymmetric solutions. The CPA-like dips are labeled by 0, 2, 4 (1, 3, 5) on the left (right) panel. Nonlinear SS states are shown in insets.

Fig. 4.
Fig. 4.

|E|2 as a function of z corresponding to the nonlinear CPA-like dips. Solid (dashed) curves correspond to exact (approximate) solutions. The results in (a)–(d) refer to points 0–3 in the Fig. 3. The dotted envelope in (a) can be fitted with A/cosh2(βz).

Fig. 5.
Fig. 5.

Same as in Fig. 4 but now |E|2 corresponds to nonlinear SS states as labeled by the point (a) 0 (symmetric solution) and (b) 1 (antisymmetric solution) in the insets of Fig. 3

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

ϵ¯a=ϵa+α|E|2,
dEjydz=iHjx,
dHjxdz={i[(ϵjpx2)+|Ejy|2]Ejyforevenj,i[(ϵjpx2)]Ejyforoddj,
Ejy=Aj+eipjz+(zzj)+Ajeipjz(zzj),
pjz±={ϵjpx2+(|Aj±|+2|Aj|)forevenj,ϵjpx2foroddj.
ϵapx2>0,ϵbpx2<0,
(EjyHjx)z=zj=Mj(EjyHjx)z=zj+1,
(A2+A2)=(11p2z+p2z)1M1(db)×M0(da/2)(11p0zp0z)(A0±A0),
(Ai+Ai)=(11pizpiz)1MN(db)MN1(da)M1(db)M0(da/2)(11p0zp0z)(A0±A0),
Ey(z)=Ey(z),Hx(z)=Hx(z),
Ey(z)=Ey(z),Hx(z)=Hx(z),

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