Abstract

We demonstrate the phenomenon of nonreciprocal extraordinary optical transmission (NEOT) through metallic film with slits on the substrate of magneto-optical materials. Under uniformly magnetization, the system can show nonreciprocal transmission at near-IR frequency range. With a properly designed structure, the nonreciprocity can be as high as 57.6%. Numerical evidence shows that the nonreciprocal performance is sensitive to the incidence angle, as well as to the thickness of the substrate.

© 2011 Optical Society of America

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2011 (1)

H. Zhu and C. Jiang, J. Lightw. Technol. 29, 708 (2011).
[CrossRef]

2010 (5)

R. Chen, G. Jiang, Y. Hao, J. Yang, M. Wang, and X. Jiang, Opt. Lett. 35, 1335 (2010).
[CrossRef] [PubMed]

H. Kim and B. Lee, Opt. Lett. 35, 3165 (2010).
[CrossRef] [PubMed]

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef] [PubMed]

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

2009 (7)

V. I. Belotelov, D. A. Bykov, L. L. Doskolovich, A. N. Kalish, and A. K. Zvezdin, J. Opt. Soc. Am. B 26, 1594 (2009).
[CrossRef]

S. M. Drezdzon and T. Yoshie, Opt. Express 17, 9276 (2009).
[CrossRef] [PubMed]

Z. Yu and S. Fan, Appl. Phys. Lett. 94, 171116 (2009).
[CrossRef]

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

X. Ao, Z. Lin, and C. T. Chan, Phys. Rev. B 80, 033105(2009).
[CrossRef]

A. B. Khanikaev and M. J. Steel, Opt. Express 17, 5265(2009).
[CrossRef] [PubMed]

2008 (2)

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

H. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef] [PubMed]

2007 (4)

2005 (1)

2004 (2)

2001 (2)

L. Wilkens, D. Träger, and H. Dötsch, Appl. Phys. Lett. 79, 4292 (2001).
[CrossRef]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

2000 (2)

J. Fujita, M. Levy, and J. R. M. Osgood, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

1998 (2)

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Almeida, V. R.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, Nature 431, 1081 (2004).
[CrossRef] [PubMed]

Ao, X.

X. Ao, Z. Lin, and C. T. Chan, Phys. Rev. B 80, 033105(2009).
[CrossRef]

Barrios, C. A.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, Nature 431, 1081 (2004).
[CrossRef] [PubMed]

Baryshev, A. V.

Beermann, J.

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Belotelov, V. I.

Bozhevolnyi, S. I.

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Bykov, D. A.

Chan, C. T.

X. Ao, Z. Lin, and C. T. Chan, Phys. Rev. B 80, 033105(2009).
[CrossRef]

Chen, R.

Chong, Y.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

Chong, Y. D.

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Devaux, E. S.

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Doskolovich, L. L.

Dotsch, H.

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

Dötsch, H.

R. L. Espinola, T. Izuhara, M.-C. Tsai, J. R. M. Osgood, and H. Dötsch, Opt. Lett. 29, 941 (2004).
[CrossRef] [PubMed]

L. Wilkens, D. Träger, and H. Dötsch, Appl. Phys. Lett. 79, 4292 (2001).
[CrossRef]

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

Drezdzon, S. M.

Ebbesen, T. W.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Espinola, R. L.

Fan, S.

Z. Yu and S. Fan, Appl. Phys. Lett. 94, 171116 (2009).
[CrossRef]

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, Appl. Phys. Lett. 90, 121133(2007).
[CrossRef]

Z. Wang and S. Fan, Opt. Lett. 30, 1989 (2005).
[CrossRef] [PubMed]

Fedyanin, A. A.

Fehndrich, M.

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

Fujita, J.

J. Fujita, M. Levy, and J. R. M. Osgood, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

García-Vidal, F. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Granovsky, A. B.

Hao, Y.

Hsieh, I. W.

Inoue, M.

Izuhara, T.

Jiang, C.

H. Zhu and C. Jiang, J. Lightw. Technol. 29, 708 (2011).
[CrossRef]

Jiang, G.

Jiang, X.

Joannopoulos, J. D.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Kakihara, K.

Kalish, A. N.

Khanikaev, A. B.

Kim, H.

Kivshar, Y. S.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef] [PubMed]

Kono, N.

Koshiba, M.

Kuipers, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Lalanne, P.

H. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef] [PubMed]

Lee, B.

Levy, M.

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

J. Fujita, M. Levy, and J. R. M. Osgood, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Lezec, H. J.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Lin, Z.

X. Ao, Z. Lin, and C. T. Chan, Phys. Rev. B 80, 033105(2009).
[CrossRef]

Lipson, M.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, Nature 431, 1081 (2004).
[CrossRef] [PubMed]

Liu, H.

H. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef] [PubMed]

Lockwood, D. J.

L. Pavesi and D. J. Lockwood, Silicon Photonics(Springer, 2004).

Lohmeyer, M.

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

Martin-Moreno, L.

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Martín-Moreno, L.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

Mizumoto, T.

Mousavi, S. H.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef] [PubMed]

Novikov, S. M.

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Osgood, J. R. M.

Osgood, R. M.

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

Panepucci, R. R.

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, Nature 431, 1081 (2004).
[CrossRef] [PubMed]

Pavesi, L.

L. Pavesi and D. J. Lockwood, Silicon Photonics(Springer, 2004).

Pellerin, K. M.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

Pendry, J. B.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

Popkov, A. F.

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

Saitoh, K.

Shoji, Y.

Shvets, G.

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef] [PubMed]

Soljacic, M.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Søndergaard, T.

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Steel, M. J.

Thio, T.

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Träger, D.

L. Wilkens, D. Träger, and H. Dötsch, Appl. Phys. Lett. 79, 4292 (2001).
[CrossRef]

Tsai, M.-C.

Wang, M.

Wang, Z.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, Z. Wang, and S. Fan, Appl. Phys. Lett. 90, 121133(2007).
[CrossRef]

Z. Wang and S. Fan, Opt. Lett. 30, 1989 (2005).
[CrossRef] [PubMed]

Wilkens, L.

L. Wilkens, D. Träger, and H. Dötsch, Appl. Phys. Lett. 79, 4292 (2001).
[CrossRef]

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Yang, J.

Yoshie, T.

Yu, Z.

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Z. Yu and S. Fan, Appl. Phys. Lett. 94, 171116 (2009).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, Appl. Phys. Lett. 90, 121133(2007).
[CrossRef]

Zhu, H.

H. Zhu and C. Jiang, J. Lightw. Technol. 29, 708 (2011).
[CrossRef]

Zvezdin, A. K.

Appl. Phys. Lett. (5)

A. F. Popkov, M. Fehndrich, M. Lohmeyer, and H. Dötsch, Appl. Phys. Lett. 72, 2508 (1998).
[CrossRef]

L. Wilkens, D. Träger, and H. Dötsch, Appl. Phys. Lett. 79, 4292 (2001).
[CrossRef]

J. Fujita, M. Levy, and J. R. M. Osgood, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, Appl. Phys. Lett. 90, 121133(2007).
[CrossRef]

Z. Yu and S. Fan, Appl. Phys. Lett. 94, 171116 (2009).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

J. Fujita, M. Levy, R. M. Osgood Jr., L. Wilkens, and H. Dotsch, IEEE Photon. Technol. Lett. 12, 1510 (2000).
[CrossRef]

J. Lightw. Technol. (1)

H. Zhu and C. Jiang, J. Lightw. Technol. 29, 708 (2011).
[CrossRef]

J. Lightwave Technol. (1)

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

Nano Lett. (1)

T. Søndergaard, S. I. Bozhevolnyi, S. M. Novikov, J. Beermann, E. S. Devaux, and T. W. Ebbesen, Nano Lett. 10, 3123 (2010).
[CrossRef] [PubMed]

Nat. Photon. (1)

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Nature (4)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

H. Liu and P. Lalanne, Nature 452, 728 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljačić, Nature 461, 772 (2009).
[CrossRef] [PubMed]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, Nature 431, 1081 (2004).
[CrossRef] [PubMed]

Opt. Express (4)

Opt. Lett. (4)

Phys. Rev. B (1)

X. Ao, Z. Lin, and C. T. Chan, Phys. Rev. B 80, 033105(2009).
[CrossRef]

Phys. Rev. Lett. (3)

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

A. B. Khanikaev, S. H. Mousavi, G. Shvets, and Y. S. Kivshar, Phys. Rev. Lett. 105, 126804 (2010).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
[CrossRef]

Other (2)

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

L. Pavesi and D. J. Lockwood, Silicon Photonics(Springer, 2004).

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the layered structure of NEOT system. The gold film is deposited on the MO substrate, and the entire structure is embedded in air. Magnetization is along z axis. Oblique arrows illustrate the direction of the incident light.

Fig. 2
Fig. 2

Nonreciprocal dispersion relation of the NEOT system along transverse direction. The blue solid curves and dashed red curves represent + k x and k x , respectively. The black lines show the unfolded and folded light line. For clarity, the bands for k x are mirrored to the + k x region. In the calculation, the parameters are chosen as g = 100 nm , Λ = 700 nm and h s = 290 nm . Δ is set as 0.6 to exaggerate the effect of nonreciprocity.

Fig. 3
Fig. 3

Transmission for (a) D case, (b) U case, and (c) nonreciprocity, with different incidence angles. In all cases, h s is set as 290 nm .

Fig. 4
Fig. 4

Nonreciprocity with (a) different h s , and (b), (c) the electric field profiles for resonant modes. In all cases, θ is set as 27 ° ; (b) and (c) are for the resonant mode at 1003 nm , with different h s as 290 nm and 500 nm , respectively.

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