Abstract

A simple design paradigm for making broadband ultrathin plasmonic absorbers is introduced. The absorber’s unit cell is composed of subunits of various sizes, resulting in nearly 100% absorbance at multiple adjacent frequencies and high absorbance over a broad frequency range. A simple theoretical model for designing broadband absorbers is presented. It uses a single-resonance model to describe the optical response of each subunit and employs the series circuit model to predict the overall response. Validity of the circuit model relies on short propagation lengths of the surface plasmons.

© 2012 Optical Society of America

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References

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  1. I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
    [CrossRef]
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    [CrossRef]
  3. F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
    [CrossRef]
  4. P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
    [CrossRef]
  5. H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
    [CrossRef]
  6. C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
    [CrossRef]
  7. N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
    [CrossRef]
  8. C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
    [CrossRef]
  9. Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
    [CrossRef]
  10. N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2012 (1)

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

2011 (2)

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

2010 (3)

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

2009 (1)

Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
[CrossRef]

2008 (4)

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
[CrossRef]

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

2007 (1)

2003 (1)

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

2001 (1)

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Adato, R.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Aizpurua, J.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Altug, H.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Alu, A.

Arju, N.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Atwater, H. A.

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

Avitzour, Y.

Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
[CrossRef]

C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
[CrossRef]

Brandl, D. W.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Cui, Y.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Dieringer, J. A.

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

Engheta, N.

Fang, N. X.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Fung, K. H.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Giessen, H.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Halas, N. J.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Hao, J.

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

He, S.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Hentschel, M.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Ilvonen, S.

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Jin, Y.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

John, J.

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Jokerst, N. M.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

Khanikaev, A. B.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Kumar, A.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Kundu, J.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Landy, N. I.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

Le, F.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Lindell, I. V.

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Liu, N.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Liu, X.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

Mesch, M.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Milder, A.

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Mock, J. J.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

Neuner, B.

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Nikoskinen, K. I.

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Nordlander, P.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Padilla, W. J.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

Polman, A.

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

Qiu, M.

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

Sajuyigbe, S.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

Salandrino, A.

Savoy, S.

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Schurig, D.

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Shah, N. C.

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

Shvets, G.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
[CrossRef]

C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
[CrossRef]

Smith, D. R.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Starr, A. F.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

Starr, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

Stiles, P. L.

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

Tretyakov, S. A.

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Tyler, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

Urzhumov, Y. A.

Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
[CrossRef]

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Van Duyne, R. P.

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

Wang, H.

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Wang, J.

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

Weiss, T.

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Wu, C.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
[CrossRef]

Xu, J.

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

Yanik, A. A.

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Zhou, L.

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

Zollars, B.

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

ACS Nano (1)

F. Le, D. W. Brandl, Y. A. Urzhumov, H. Wang, J. Kundu, N. J. Halas, J. Aizpurua, and P. Nordlander, ACS Nano 2, 707 (2008).
[CrossRef]

Annu. Rev. Anal. Chem. (1)

P. L. Stiles, J. A. Dieringer, N. C. Shah, and R. P. Van Duyne, Annu. Rev. Anal. Chem. 1, 601 (2008).
[CrossRef]

Appl. Phys. Lett. (1)

J. Hao, J. Wang, X. Liu, W. J. Padilla, L. Zhou, and M. Qiu, Appl. Phys. Lett. 96, 251104 (2010).
[CrossRef]

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

Microw. Opt. Technol. Lett. (1)

I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, Microw. Opt. Technol. Lett. 31, 129 (2001).
[CrossRef]

Nano Lett. (1)

N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Nano Lett. 10, 2342 (2010).
[CrossRef]

Nat. Mater. (2)

H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010).
[CrossRef]

C. Wu, A. B. Khanikaev, R. Adato, N. Arju, A. A. Yanik, H. Altug, and G. Shvets, Nat. Mater. 11, 69 (2012).
[CrossRef]

Phys. Rev. B (2)

Y. Avitzour, Y. A. Urzhumov, and G. Shvets, Phys. Rev. B 79, 045131 (2009).
[CrossRef]

C. Wu, B. Neuner, J. John, A. Milder, B. Zollars, S. Savoy, and G. Shvets, Phys. Rev. B 84, 075102 (2011).
[CrossRef]

Phys. Rev. Lett. (3)

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, Phys. Rev. Lett. 107, 045901 (2011).
[CrossRef]

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
[CrossRef]

Proc. SPIE (1)

C. Wu, Y. Avitzour, and G. Shvets, Proc. SPIE 7029, 70290W (2008).
[CrossRef]

Other (2)

Y. Cui, J. Xu, K. H. Fung, Y. Jin, A. Kumar, S. He, and N. X. Fang, Appl. Phys. Lett.99, 253101 (2011).
[CrossRef]

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

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Figures (3)

Fig. 1.
Fig. 1.

(a) Schematic of the NBMA. (b) Impedances of NBMAs for three values of G. Solid curves, from driven simulations; dashed curves, from the single oscillator model given by Eq. (2).

Fig. 2.
Fig. 2.

(a) Illustration of the circuit model used to derive Eq. (3). (b), (d) Impedance z of the resonant surface with a macrocell comprised of two subunits. Subunit dimensions: (b) [L1,L2,W1,W2]=[407nm,383nm,268nm,227nm] and [D,G]=[17nm,28nm]; (d) [L1,L2,W1,W2]=[432nm,371nm,409nm,356nm] and [D,G]=[13nm,15nm]. Solid curves in (b), (d), z from direct simulations; dashed curves, z from Eq. (3), with individual impedances z1,2 plotted in (c) and (e), respectively.

Fig. 3.
Fig. 3.

Absorption spectrum (top row) and surface impedance (bottom row) of the designed BBMAs with two (left column) and three (right column) subunits per unit cell. Subunit dimensions: [L1,L2,W1,W2]=[488nm,348nm,249nm,226nm] in (a) and (c); [L1,L2,L3]=[327nm,280nm,271nm] and [W1,W2,W3]=[224nm,200nm,180nm] in (b) and (d). Metal and spacer thickness [D,G]=[17nm,28nm] is the same for all subunits.

Equations (3)

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

ddta=iω0a(ωio+ωie)a+2ωieEI,ER=EI+2ωiea,
z=ωiei(ωω0)+ωio,
z=i=1NziLi/iLi,

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