Abstract

Whereas periodic gratings enable us to couple light into a surface plasmon polariton only at a specific angle and wavelength, we show here that quasiperiodic gratings enable the coupling of light at multiple wavelengths and angles. The quasiperiodic grating can be designed in a systematic manner using the dual-grid method, thereby enabling us to control the coupling strength and grating dimensions. We verified the method experimentally by efficiently coupling light into a surface plasmon from several different illumination angles using a single quasi periodic grating.

© 2011 Optical Society of America

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  1. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).
  2. J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
    [CrossRef]
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    [CrossRef] [PubMed]
  4. S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  8. Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  16. J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
    [CrossRef]
  17. A. Bahabad, N. Voloch, A. Arie, and R. Lifshitz, J. Opt. Soc. Am. B 24, 1916 (2007).
    [CrossRef]
  18. M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

2010

W. Yeh, J. Kleingartner, and A. C. Hillier, Lett. Anal. Chem. 82, 4988 (2010).
[CrossRef]

2009

Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
[CrossRef]

2008

2007

A. Bahabad, N. Voloch, A. Arie, and R. Lifshitz, J. Opt. Soc. Am. B 24, 1916 (2007).
[CrossRef]

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

2006

F. Przybilla, C. Genet, and T. W. Ebbesen, Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

P. Adam, J. Dostalek, and J. Homola, Sens. Actuators B 113, 774 (2006).
[CrossRef]

G. Leveque and J. F. Martin, J. Appl. Phys. 100, 124301 (2006).
[CrossRef]

2005

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

2003

J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

1999

J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
[CrossRef]

1981

N. G. de Bruijn, Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci. 84, 39 (1981).

Adam, P.

P. Adam, J. Dostalek, and J. Homola, Sens. Actuators B 113, 774 (2006).
[CrossRef]

Agrawal, A.

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

Albuquerque, E. L.

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

Arie, A.

A. Bahabad, N. Voloch, A. Arie, and R. Lifshitz, J. Opt. Soc. Am. B 24, 1916 (2007).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

Atwater, H. A.

Bahabad, A.

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Costa Filho, R. N.

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
[CrossRef]

Darmo, J.

M. Martl, J. Darmo, K. Unterrainer, and E. Gornik, in Conference on Lasers and Electro Optics (Optical Society of America, 2008), paper JWA43.

de Bruijn, N. G.

N. G. de Bruijn, Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci. 84, 39 (1981).

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Devender,

Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
[CrossRef]

Dolev, I.

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

Dostalek, J.

P. Adam, J. Dostalek, and J. Homola, Sens. Actuators B 113, 774 (2006).
[CrossRef]

Ebbesen, T. W.

F. Przybilla, C. Genet, and T. W. Ebbesen, Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Ellenbogen, T.

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

Farias, G. A.

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
[CrossRef]

Gauglitz, G.

J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
[CrossRef]

Genet, C.

F. Przybilla, C. Genet, and T. W. Ebbesen, Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

Gornik, E.

M. Martl, J. Darmo, K. Unterrainer, and E. Gornik, in Conference on Lasers and Electro Optics (Optical Society of America, 2008), paper JWA43.

Hillier, A. C.

W. Yeh, J. Kleingartner, and A. C. Hillier, Lett. Anal. Chem. 82, 4988 (2010).
[CrossRef]

Homola, J.

P. Adam, J. Dostalek, and J. Homola, Sens. Actuators B 113, 774 (2006).
[CrossRef]

J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
[CrossRef]

Kleingartner, J.

W. Yeh, J. Kleingartner, and A. C. Hillier, Lett. Anal. Chem. 82, 4988 (2010).
[CrossRef]

Lakhtakia, A.

Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
[CrossRef]

Leveque, G.

G. Leveque and J. F. Martin, J. Appl. Phys. 100, 124301 (2006).
[CrossRef]

Lezec, H. J.

Lifshitz, R.

Maier, S. A.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

Martin, J. F.

G. Leveque and J. F. Martin, J. Appl. Phys. 100, 124301 (2006).
[CrossRef]

Martl, M.

M. Martl, J. Darmo, K. Unterrainer, and E. Gornik, in Conference on Lasers and Electro Optics (Optical Society of America, 2008), paper JWA43.

Matsui, T.

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

Nahata, A.

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

Novotny, L.

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

Pacifici, D.

Palomba, S.

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

Pereira, J. M.

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
[CrossRef]

Przybilla, F.

F. Przybilla, C. Genet, and T. W. Ebbesen, Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

Pulsifer, D. P.

Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
[CrossRef]

Sivan, Y.

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

Sweatlock, L. A.

Unterrainer, K.

M. Martl, J. Darmo, K. Unterrainer, and E. Gornik, in Conference on Lasers and Electro Optics (Optical Society of America, 2008), paper JWA43.

Vardeny, Z. V.

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

Voloch, N.

Volodarsky, M.

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

Walters, R. J.

Yee, S. S.

J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
[CrossRef]

Yeh, W.

W. Yeh, J. Kleingartner, and A. C. Hillier, Lett. Anal. Chem. 82, 4988 (2010).
[CrossRef]

Appl. Phys. Lett.

F. Przybilla, C. Genet, and T. W. Ebbesen, Appl. Phys. Lett. 89, 121115 (2006).
[CrossRef]

Electron. Lett.

Devender, D. P. Pulsifer, and A. Lakhtakia, Electron. Lett. 45, 1137 (2009).
[CrossRef]

Eur. Phys. J. B

J. M. Pereira, Jr., G. A. Farias, and R. N. Costa Filho, Eur. Phys. J. B 36, 137 (2003).
[CrossRef]

J. Appl. Phys.

G. Leveque and J. F. Martin, J. Appl. Phys. 100, 124301 (2006).
[CrossRef]

J. Opt. Soc. Am. B

Lett. Anal. Chem.

W. Yeh, J. Kleingartner, and A. C. Hillier, Lett. Anal. Chem. 82, 4988 (2010).
[CrossRef]

Nature

T. Matsui, A. Agrawal, A. Nahata, and Z. V. Vardeny, Nature 446, 517 (2007).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Opt. Express

Phys. Rev. B

J. M. Pereira, Jr., E. L. Albuquerque, G. A. Farias, and R. N. Costa Filho, Phys. Rev. B 72, 045433 (2005).
[CrossRef]

Phys. Rev. Lett.

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

S. Palomba and L. Novotny, Phys. Rev. Lett. 101, 056802 (2008).
[CrossRef] [PubMed]

Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci.

N. G. de Bruijn, Proc. K. Ned. Akad. Wet., Ser. A: Math. Sci. 84, 39 (1981).

Sens. Actuators B

J. Homola, S. S. Yee, and G. Gauglitz, Sens. Actuators B 54, 3 (1999).
[CrossRef]

P. Adam, J. Dostalek, and J. Homola, Sens. Actuators B 113, 774 (2006).
[CrossRef]

Other

M. Martl, J. Darmo, K. Unterrainer, and E. Gornik, in Conference on Lasers and Electro Optics (Optical Society of America, 2008), paper JWA43.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

M. Volodarsky, I. Dolev, Y. Sivan, T. Ellenbogen, and A. Arie, in Frontier in Optics Conference (Optical Society of America, 2010), paper FThB8.

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Figures (4)

Fig. 1
Fig. 1

(a) Illustration of the SPP quasiperiodic grating coupler. Inset, part of the quasiperiodic gratings composed of building blocks of lengths (b)  A = 386 nm and B = 499 nm and (c)  A = 177 nm , B = 229 nm , and C = 314 nm .

Fig. 2
Fig. 2

Fourier spectra of the quasiperiodic gratings used for SPP coupling experiments.

Fig. 3
Fig. 3

Light diffraction at a distance of 20 cm from the samples for the periodic grating (a)  Λ 1 , (b)  Λ 2 , and (c) dual-frequency quasiperiodic grating.

Fig. 4
Fig. 4

Normalized reflection versus illumination angle for the different gratings: (a), (b) experimental results and (c) simulation results.

Equations (2)

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k 0 sin θ + m 2 π Λ = Re ( k s p ) ,
K T i O P O 4

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