Abstract

We exploit the versatility provided by metal–dielectric composites to demonstrate controllable coherent perfect absorption (CPA) or anti-lasing in a slab of heterogeneous medium. The slab is illuminated by coherent light from both sides, at the same angle of incidence and the conditions required for CPA are investigated as a function of the different system parameters. Our calculations clearly elucidate the role of absorption as a necessary prerequisite for CPA. We further demonstrate the controllability of the CPA frequency to the extent of having the same at two distinct frequencies even in presence of dispersion, rendering the realization of anti-lasers more flexible.

© 2012 OSA

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  1. M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system,” Phys. Rev. Lett. 85, 74–77 (2000).
    [CrossRef] [PubMed]
  2. K. J. Vahala, Optical Microcavities (World Scientific, Singapore, 2004).
    [CrossRef]
  3. J. R. Tischler, M. S. Bradley, and V. Bulovic, “Critically coupled resonators in vertical geometry using a planar mirror and a 5 nm thick absorbing film,” Opt. Lett. 31, 2045–2047 (2006).
    [CrossRef] [PubMed]
  4. S. Dutta Gupta, “Strong interaction mediated critical coupling at two distinct frequencies,” Opt. Lett. 32, 1483–1485 (2007).
    [CrossRef] [PubMed]
  5. S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
    [CrossRef]
  6. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide:a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
    [CrossRef]
  7. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998), p.369.
  8. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
    [CrossRef]
  9. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
    [CrossRef] [PubMed]
  10. W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, New York, 2010).
  11. S. Deb and S. Dutta Gupta, “Critical coupling in a Fabry-Perot cavity with metamaterial mirrors,” Opt. Commun.  283, 4764–4769 (2010).
    [CrossRef]
  12. M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
    [CrossRef] [PubMed]
  13. S. Dutta Gupta, “Nonlinear optics of stratified media,” in Progress in Optics, E. Wolf, ed. (North Holland, Amsterdam, 1998), Vol. 38, pp. 1–84.
    [CrossRef]
  14. G. S. Agarwal and S. Dutta Gupta, “T-Matrix approach to the nonlinear susceptibilities of heterogeneous media,” Phys. Rev. A 38, 5678–5687 (1988).
    [CrossRef] [PubMed]
  15. G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
    [CrossRef] [PubMed]
  16. O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
    [CrossRef]
  17. M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
    [CrossRef]
  18. S. Dutta-Gupta, S. Deb, and S. Dutta Gupta, “Signature of strong atom-cavity interaction on critical coupling,” J. Opt. 12, 075103 (2010).
    [CrossRef]
  19. Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
    [CrossRef] [PubMed]
  20. W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
    [CrossRef] [PubMed]
  21. S. Longhi, “PT-symmetric laser absorber,” Phys. Rev. A 82, 031801(R) (2010).
    [CrossRef]
  22. S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83, 055804 (2011).
    [CrossRef]
  23. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, New York, 1999).
  24. S. A. Ramakrishna and O. J. F. Martin, “Resolving the wave vector in negative refractive media,” Opt. Lett.  30, 2626–2628 (2005).
    [CrossRef] [PubMed]
  25. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
    [CrossRef]

2011

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83, 055804 (2011).
[CrossRef]

2010

S. Longhi, “PT-symmetric laser absorber,” Phys. Rev. A 82, 031801(R) (2010).
[CrossRef]

S. Dutta-Gupta, S. Deb, and S. Dutta Gupta, “Signature of strong atom-cavity interaction on critical coupling,” J. Opt. 12, 075103 (2010).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef] [PubMed]

S. Deb and S. Dutta Gupta, “Critical coupling in a Fabry-Perot cavity with metamaterial mirrors,” Opt. Commun.  283, 4764–4769 (2010).
[CrossRef]

2007

S. Dutta Gupta, “Strong interaction mediated critical coupling at two distinct frequencies,” Opt. Lett. 32, 1483–1485 (2007).
[CrossRef] [PubMed]

S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
[CrossRef]

2006

2005

S. A. Ramakrishna and O. J. F. Martin, “Resolving the wave vector in negative refractive media,” Opt. Lett.  30, 2626–2628 (2005).
[CrossRef] [PubMed]

2004

M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
[CrossRef]

2000

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system,” Phys. Rev. Lett. 85, 74–77 (2000).
[CrossRef] [PubMed]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
[CrossRef] [PubMed]

1999

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide:a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[CrossRef]

O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
[CrossRef]

1995

G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

1988

G. S. Agarwal and S. Dutta Gupta, “T-Matrix approach to the nonlinear susceptibilities of heterogeneous media,” Phys. Rev. A 38, 5678–5687 (1988).
[CrossRef] [PubMed]

1972

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

1968

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[CrossRef]

Abdelaziz, R.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Agarwal, G. S.

G. S. Agarwal and S. Dutta Gupta, “T-Matrix approach to the nonlinear susceptibilities of heterogeneous media,” Phys. Rev. A 38, 5678–5687 (1988).
[CrossRef] [PubMed]

Banerji, J.

S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
[CrossRef]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998), p.369.

Born, M.

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, New York, 1999).

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Bradley, M. S.

Bulovic, V.

Cai, M.

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system,” Phys. Rev. Lett. 85, 74–77 (2000).
[CrossRef] [PubMed]

Cai, W.

W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, New York, 2010).

Cao, H.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef] [PubMed]

Chakravadhanula, V. S. K.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Chong, Y. D.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef] [PubMed]

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

Deb, S.

S. Dutta-Gupta, S. Deb, and S. Dutta Gupta, “Signature of strong atom-cavity interaction on critical coupling,” J. Opt. 12, 075103 (2010).
[CrossRef]

S. Deb and S. Dutta Gupta, “Critical coupling in a Fabry-Perot cavity with metamaterial mirrors,” Opt. Commun.  283, 4764–4769 (2010).
[CrossRef]

S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
[CrossRef]

Dutta Gupta, S.

S. Deb and S. Dutta Gupta, “Critical coupling in a Fabry-Perot cavity with metamaterial mirrors,” Opt. Commun.  283, 4764–4769 (2010).
[CrossRef]

S. Dutta-Gupta, S. Deb, and S. Dutta Gupta, “Signature of strong atom-cavity interaction on critical coupling,” J. Opt. 12, 075103 (2010).
[CrossRef]

S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
[CrossRef]

S. Dutta Gupta, “Strong interaction mediated critical coupling at two distinct frequencies,” Opt. Lett. 32, 1483–1485 (2007).
[CrossRef] [PubMed]

S. Deb, S. Dutta Gupta, J. Banerji, and S. Dutta Gupta, “Critical coupling at oblique incidence,” J. Opt. A, Pure Appl. Opt. 9, 555–559 (2007).
[CrossRef]

M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
[CrossRef]

G. S. Agarwal and S. Dutta Gupta, “T-Matrix approach to the nonlinear susceptibilities of heterogeneous media,” Phys. Rev. A 38, 5678–5687 (1988).
[CrossRef] [PubMed]

S. Dutta Gupta, “Nonlinear optics of stratified media,” in Progress in Optics, E. Wolf, ed. (North Holland, Amsterdam, 1998), Vol. 38, pp. 1–84.
[CrossRef]

Dutta-Gupta, S.

S. Dutta-Gupta, S. Deb, and S. Dutta Gupta, “Signature of strong atom-cavity interaction on critical coupling,” J. Opt. 12, 075103 (2010).
[CrossRef]

Elbahri, M.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Faupel, F.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Ge, L.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef] [PubMed]

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Girard, C.

O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
[CrossRef]

Hedayati, M. K.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998), p.369.

Javaherirahim, M.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

Kulkarni, M.

M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
[CrossRef]

Lee, R. K.

Longhi, S.

S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83, 055804 (2011).
[CrossRef]

S. Longhi, “PT-symmetric laser absorber,” Phys. Rev. A 82, 031801(R) (2010).
[CrossRef]

Manga Rao, V. S. C.

M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
[CrossRef]

Martin, O. J. F.

S. A. Ramakrishna and O. J. F. Martin, “Resolving the wave vector in negative refractive media,” Opt. Lett.  30, 2626–2628 (2005).
[CrossRef] [PubMed]

O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
[CrossRef]

Mozooni, B.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Noh, H.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Painter, O.

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system,” Phys. Rev. Lett. 85, 74–77 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966–3969 (2000).
[CrossRef] [PubMed]

Ramakrishna, S. A.

S. A. Ramakrishna and O. J. F. Martin, “Resolving the wave vector in negative refractive media,” Opt. Lett.  30, 2626–2628 (2005).
[CrossRef] [PubMed]

Scherer, A.

Schultz, S.

O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
[CrossRef]

Seshadri, N.

M. Kulkarni, N. Seshadri, V. S. C. Manga Rao, and S. Dutta Gupta, “Control of superluminal transit through a heterogeneous medium,” J. Mod. Opt. 51, 549–557 (2004).
[CrossRef]

Shalaev, V.

W. Cai and V. Shalaev, Optical Metamaterials: Fundamentals and Applications (Springer, New York, 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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Smith, D. R.

O. J. F. Martin, C. Girard, D. R. Smith, and S. Schultz, “Generalized field propagator for arbitrary finite-size photonic band gap structures,” Phys. Rev. Lett. 82, 315–318 (1999).
[CrossRef]

Stone, A. D.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef] [PubMed]

Strunkus, T.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Tavassolizadeh, A.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Tischler, J. R.

Vahala, K. J.

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system,” Phys. Rev. Lett. 85, 74–77 (2000).
[CrossRef] [PubMed]

K. J. Vahala, Optical Microcavities (World Scientific, Singapore, 2004).
[CrossRef]

Veselago, V. G.

V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[CrossRef]

Wan, W.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331, 889–892 (2011).
[CrossRef] [PubMed]

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, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871–1874 (1995).
[CrossRef] [PubMed]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Cambridge University Press, New York, 1999).

Xu, Y.

Yariv, A.

Zaporojtchenko, V.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

Adv. Mater.

M. K. Hedayati, M. Javaherirahim, B. Mozooni, R. Abdelaziz, A. Tavassolizadeh, V. S. K. Chakravadhanula, V. Zaporojtchenko, T. Strunkus, F. Faupel, and M. Elbahri, “Design of a perfect black absorber at visible frequencies using plasmonic metamaterials,” Adv. Mater. 23, 5410–5414 (2011).
[CrossRef] [PubMed]

J. Mod. Opt.

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Figures (6)

Fig. 1
Fig. 1

Schematics of the CPA setup.

Fig. 2
Fig. 2

(a), (b) Real and (c), (d) imaginary parts of the dielectric constant for a gold–silica composite at two different volume fractions: (a), (c) fm = 0.004 and (b), (d) fm = 0.08. Here εd = 2.25 and εm is taken from the work of Johnson and Christy [25].

Fig. 3
Fig. 3

(a) Absolute values of reflected (dashed line) and transmitted (solid line) amplitudes |rf| and |tb| (arrow shows the point where conditions for CPA are satisfied), (b) phase difference Δϕ between the forward reflected and backward transmitted plane waves and (c) log10|rf + tb|2 as a function of fm for d=5 μm and λ = 562nm.

Fig. 4
Fig. 4

Same as in Fig. 3 for fm = 0.004 and d = 5μm.

Fig. 5
Fig. 5

Same as in Fig. 3 for fm = 0.004 and d = 5.45μm.

Fig. 6
Fig. 6

Color map of log10|rf + tb|2 as functions of (a) fm and λ for d = 10μm, (b) d and λ for fm = 0.004, and (c) d and fm for λ = 562nm.

Equations (1)

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ε 2 = 1 4 { ( 3 f m 1 ) ε m + ( 3 f d 1 ) ε d ± [ ( 3 f m 1 ) ε m + ( 3 f d 1 ) ε d ] 2 + 8 ε m ε d } ,

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