Abstract

We study coherent perfect absorption (CPA) of light in a Kerr nonlinear metal-dielectric composite medium, illuminated from the opposite ends. Elementary symmetry considerations reveal that equality of the incident light intensities is a prerequisite to ensure CPA in both linear and nonlinear systems for specific system parameters. We also derive the sufficient conditions for having CPA. We further show that, while CPA in a linear system is insensitive to the incident power level, in a nonlinear system CPA can be achieved only for discrete intensities with interesting hysteretic responses. Our unified formulation of CPA and waveguiding identifies them as opposite scattering phenomena. We further investigate light-induced CPA in on-resonant and off-resonant systems.

© 2013 Optical Society of America

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  1. M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
    [CrossRef]
  2. J. R. Tischler, M. S. Bradley, and V. Bulovic, Opt. Lett. 31, 2045 (2006).
    [CrossRef]
  3. S. Dutta Gupta, Opt. Lett. 32, 1483 (2007).
    [CrossRef]
  4. S. Deb, S. Dutta-Gupta, J. Banerji, and S. Dutta Gupta, J. Opt. A 9, 555 (2007).
    [CrossRef]
  5. W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
    [CrossRef]
  6. S. Dutta-Gupta, O. J. F. Martin, S. Dutta Gupta, and G. S. Agarwal, Opt. Express 20, 1330 (2012).
    [CrossRef]
  7. S. Longhi, Phys. Rev. A 82, 031801(R) (2010).
  8. S. Dutta-Gupta, R. Deshmukh, A. V. Gopal, O. J. F. Martin, and S. Dutta Gupta, Opt. Lett. 37, 4452 (2012).
    [CrossRef]
  9. J.-T. Shen and S. Fan, Phys. Rev. A 82, 021802(R) (2010).
  10. S. Longhi, Phys. Rev. A 83, 055804 (2011).
    [CrossRef]
  11. S. Longhi, Phys. Rev. Lett. 107, 033901 (2011).
    [CrossRef]
  12. S. Longhi and G. della Valle, Phys. Rev. A 85, 053838 (2012).
    [CrossRef]
  13. Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).
  14. K. N. Reddy, A. V. Gopal, and S. Dutta Gupta, Opt. Lett. 38, 2517 (2013).
    [CrossRef]
  15. G. S. Agarwal and S. Dutta Gupta, Phys. Rev. A 38, 5678 (1988).
    [CrossRef]
  16. G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
    [CrossRef]
  17. S. Dutta Gupta and G. S. Agarwal, J. Opt. Soc. Am. B 4, 691 (1987).
    [CrossRef]
  18. Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
    [CrossRef]
  19. W. Chen and D. L. Mills, Phys. Rev. B 35, 524 (1987).
    [CrossRef]
  20. S. Dutta Gupta and D. S. Ray, Phys. Rev. B 41, 8048 (1990).
  21. S. Dutta Gupta, J. Opt. Soc. Am. B 6, 1927 (1989).
    [CrossRef]
  22. S. Dutta Gupta, in Progress in Optics, E. Wolf, ed. (Elsevier, 1998), Vol. 38, p. 1.
  23. S. Dutta Gupta and G. S. Agarwal, J. Opt. Soc. Am. B 3, 236 (1986).
    [CrossRef]
  24. G. S. Agarwal and S. Dutta Gupta, Phys. Rev. B 34, 5239 (1986).
    [CrossRef]
  25. J. H. Marburger and F. S. Felber, Phys. Rev. A 17, 335 (1978).
    [CrossRef]
  26. M. K. Barnoski, Introduction to Integrated Optics (Plenum, 1974), pp. 53–66.
  27. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]

2013 (1)

2012 (3)

2011 (3)

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

S. Longhi, Phys. Rev. A 83, 055804 (2011).
[CrossRef]

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

2010 (3)

J.-T. Shen and S. Fan, Phys. Rev. A 82, 021802(R) (2010).

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

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

2007 (2)

S. Dutta Gupta, Opt. Lett. 32, 1483 (2007).
[CrossRef]

S. Deb, S. Dutta-Gupta, J. Banerji, and S. Dutta Gupta, J. Opt. A 9, 555 (2007).
[CrossRef]

2006 (1)

2000 (1)

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef]

1995 (1)

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

1990 (1)

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

1989 (1)

1988 (1)

G. S. Agarwal and S. Dutta Gupta, Phys. Rev. A 38, 5678 (1988).
[CrossRef]

1987 (2)

1986 (2)

S. Dutta Gupta and G. S. Agarwal, J. Opt. Soc. Am. B 3, 236 (1986).
[CrossRef]

G. S. Agarwal and S. Dutta Gupta, Phys. Rev. B 34, 5239 (1986).
[CrossRef]

1978 (1)

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

1972 (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Agarwal, G. S.

Banerji, J.

S. Deb, S. Dutta-Gupta, J. Banerji, and S. Dutta Gupta, J. Opt. A 9, 555 (2007).
[CrossRef]

Barnoski, M. K.

M. K. Barnoski, Introduction to Integrated Optics (Plenum, 1974), pp. 53–66.

Boyd, R. W.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Bradley, M. S.

Bulovic, V.

Cai, M.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef]

Cao, H.

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

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Chen, W.

W. Chen and D. L. Mills, Phys. Rev. B 35, 524 (1987).
[CrossRef]

Chen, X.

Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).

Chong, Y. D.

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

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Deb, S.

S. Deb, S. Dutta-Gupta, J. Banerji, and S. Dutta Gupta, J. Opt. A 9, 555 (2007).
[CrossRef]

della Valle, G.

S. Longhi and G. della Valle, Phys. Rev. A 85, 053838 (2012).
[CrossRef]

Deshmukh, R.

Dutta Gupta, S.

Dutta-Gupta, S.

Fan, S.

J.-T. Shen and S. Fan, Phys. Rev. A 82, 021802(R) (2010).

Felber, F. S.

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

Fischer, G. L.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Ge, L.

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

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Gehr, R. J.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Gopal, A. V.

Jenekhe, S. A.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Longhi, S.

S. Longhi and G. della Valle, Phys. Rev. A 85, 053838 (2012).
[CrossRef]

S. Longhi, Phys. Rev. A 83, 055804 (2011).
[CrossRef]

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

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

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. B 35, 524 (1987).
[CrossRef]

Noh, H.

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

Osaheni, J. A.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Painter, O.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef]

Ray, D. S.

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

Reddy, K. N.

Ren, H.

Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).

Shen, J.-T.

J.-T. Shen and S. Fan, Phys. Rev. A 82, 021802(R) (2010).

Sipe, J. E.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Stone, A. D.

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

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Tischler, J. R.

Vahala, K. J.

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef]

Wan, W.

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

Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).

Weller-Brophy, L. A.

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Zheng, Y.

Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).

J. Opt. A (1)

S. Deb, S. Dutta-Gupta, J. Banerji, and S. Dutta Gupta, J. Opt. A 9, 555 (2007).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Express (1)

Opt. Lett. (4)

Phys. Rev. A (6)

J.-T. Shen and S. Fan, Phys. Rev. A 82, 021802(R) (2010).

S. Longhi, Phys. Rev. A 83, 055804 (2011).
[CrossRef]

G. S. Agarwal and S. Dutta Gupta, Phys. Rev. A 38, 5678 (1988).
[CrossRef]

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

S. Longhi and G. della Valle, Phys. Rev. A 85, 053838 (2012).
[CrossRef]

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

Phys. Rev. B (4)

G. S. Agarwal and S. Dutta Gupta, Phys. Rev. B 34, 5239 (1986).
[CrossRef]

W. Chen and D. L. Mills, Phys. Rev. B 35, 524 (1987).
[CrossRef]

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

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Phys. Rev. Lett. (4)

M. Cai, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 85, 74 (2000).
[CrossRef]

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[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)

Y. Zheng, H. Ren, W. Wan, and X. Chen, “Time-reversed wave mixing in nonlinear optics,” arXiv:1301.2882 (2013).

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

M. K. Barnoski, Introduction to Integrated Optics (Plenum, 1974), pp. 53–66.

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Figures (4)

Fig. 1.
Fig. 1.

Schematics of the nonlinear system and illumination.

Fig. 2.
Fig. 2.

|DS| (dashed), |DA| (solid) as functions of λ, for a linear system with d=18.58μm. Other parameters are as follows: εd=2.25, fm=0.004, θ=45°.

Fig. 3.
Fig. 3.

(a) Intensity scattering log10|At/Ain|2 as a function of λ for d=18.58μm. Absolute values of the scattered amplitude, At, as functions of |Ain| for (b) λ=596.4nm, (c) λ=592.0nm, (d) λ=600.8nm. The dashed (solid) curves are for the symmetric (antisymmetric) modes. Other parameters are the same as in Fig. 2.

Fig. 4.
Fig. 4.

(a) Same as in Fig. 3(a), except that d=18.00μm, (b) λ=592.3nm, (c) λ=588.2nm, (d) λ=596.4nm.

Equations (13)

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

ε2=ε¯+α|E|2,
ε¯=14{(3fm1)εm+(3fd1)εd±[(3fm1)εm+(3fd1)εd]2+8εmεd},
E2y=A˜2+eip2z+z¯+A˜2eip2zz¯,
p2z±=ε¯px2+|A2±|2+2|A2|2,
(A1+A1)=M˜I1M˜(d¯/2)(A2+A2),
(A3+A3)=M˜I1M˜(d¯/2)(A2+A2),
M˜I=(11p1zp1z),M˜(d¯/2)=(exp(ip2z+d¯/2)exp(ip2zd¯/2)p2z+exp(ip2z+d¯/2)p2zexp(ip2zd¯/2)).
(1±1p2zp2z)(AA)=Md/2(1p1z)Ain,
(1±1p2zp2z)(AA)=Md/2(1p1z)At.
DS=p1z+ip2ztan(p2zd¯/2)=0,
DA=p1zip2zcot(p2zd¯/2)=0,
p˜1zp2ztan(p2zd¯/2)=0,
p˜1z+p2zcot(p2zd¯/2)=0.

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