Abstract

We demonstrate the possibility to efficiently deflect a light beam by varying the refractive index inside resonant contiguous subwavelength slits carved on an opaque metallic substrate in the enhanced transmission regime. The enhanced transmission process combines with the phase mismatch of the surface waves propagating along the metal surface and field localization phenomena to allow controlled transmittance and beam deflection.

© 2009 Optical Society of America

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    [CrossRef]

2007 (3)

2006 (1)

H. Caglayan, I. Bulu, and E. Ozbay, “Plasmonic structures with extraordinary transmission and highly directional beaming properties,” Microwave Opt. Technol. Lett. 48, 2491-2496 (2006).
[CrossRef]

2005 (4)

H. Shi, C. Wang, C. Du, X. Luo, X. Dong, and H. Gao, “Beam manipulating by metallic nano-slits with variant widths,” Opt. Express 13, 6815-6820 (2005).
[CrossRef] [PubMed]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, J. W. Haus, and A. M. Zheltikov, “Negative refraction of ultrashort electromagnetic pulses,” Appl. Phys. B 81, 393-402 (2005).
[CrossRef]

R. Gordon and A. Brolo, “Increased cut-off wavelength for a subwavelength hole in a real metal,” Opt. Express 13, 1933-1938 (2005).
[CrossRef] [PubMed]

2004 (1)

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, “Optical bistability in subwavelength slit apertures containing nonlinear media,” Phys. Rev. B 70, 081402 (2004).
[CrossRef]

2003 (2)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

R. W. Ziolkowski, “Pulsed and cw Gaussian beam interactions with double negative metamaterials slab,” Opt. Express 11, 662-681 (2003).
[CrossRef] [PubMed]

2002 (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

2001 (2)

1998 (1)

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

1990 (1)

Akozbek, N.

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Ashley, P.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Belardini, A.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Bloemer, M. J.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, J. W. Haus, and A. M. Zheltikov, “Negative refraction of ultrashort electromagnetic pulses,” Appl. Phys. B 81, 393-402 (2005).
[CrossRef]

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1975).

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 2003).

Brolo, A.

Bulu, I.

H. Caglayan, I. Bulu, and E. Ozbay, “Plasmonic structures with extraordinary transmission and highly directional beaming properties,” Microwave Opt. Technol. Lett. 48, 2491-2496 (2006).
[CrossRef]

Caglayan, H.

H. Caglayan, I. Bulu, and E. Ozbay, “Plasmonic structures with extraordinary transmission and highly directional beaming properties,” Microwave Opt. Technol. Lett. 48, 2491-2496 (2006).
[CrossRef]

Cappeddu, M. G.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

Centini, M.

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Chang, Y. C.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Chen, Y. C.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Collin, R. E.

R. E. Collin, Antennas and Radiowave Propagation (McGraw Hill, 1985).

D'Aguanno, G.

de Ceglia, D.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

De Sario, M.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Degiron, A.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Deng, Y.

Devaux, E.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Dong, X.

D'Orazio, A.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Du, C.

Ebbesen, T. W.

Ebessen, T. W.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Fazio, E.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Fowler, M.

Gao, H.

Garcia-Vidal, F. J.

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, “Optical bistability in subwavelength slit apertures containing nonlinear media,” Phys. Rev. B 70, 081402 (2004).
[CrossRef]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Ghaemi, H. F.

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Goodman, J. W.

Gordon, R.

Haus, J. W.

Huang, K. T.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Jiao, X.

Larciprete, M. C.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Lee, C. K.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Lezec, H. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972-1974 (2001).
[CrossRef]

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Liaw, J. W.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Lin, D. Z.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Linke, R. A.

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972-1974 (2001).
[CrossRef]

Liu, J. M.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Luo, X.

Mandatori, A.

Martin-Moreno, L.

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, “Optical bistability in subwavelength slit apertures containing nonlinear media,” Phys. Rev. B 70, 081402 (2004).
[CrossRef]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Mattiucci, N.

McAdams, L. R.

McRuer, R.

Min, C.

Ming, H.

Ozbay, E.

H. Caglayan, I. Bulu, and E. Ozbay, “Plasmonic structures with extraordinary transmission and highly directional beaming properties,” Microwave Opt. Technol. Lett. 48, 2491-2496 (2006).
[CrossRef]

Palik, E. D.

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

Pellerin, K. M.

Petruzzelli, V.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Porto, J. A.

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, “Optical bistability in subwavelength slit apertures containing nonlinear media,” Phys. Rev. B 70, 081402 (2004).
[CrossRef]

Prudenzano, F.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Scalora, M.

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, J. W. Haus, and A. M. Zheltikov, “Negative refraction of ultrashort electromagnetic pulses,” Appl. Phys. B 81, 393-402 (2005).
[CrossRef]

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Shi, H.

Sibilia, C.

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, “Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks,” Opt. Express 15, 508-523 (2007).
[CrossRef] [PubMed]

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Takakura, Y.

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86, 5601-5603 (2001).
[CrossRef] [PubMed]

Thio, T.

T. Thio, K. M. Pellerin, R. A. Linke, H. J. Lezec, and T. W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972-1974 (2001).
[CrossRef]

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Vincenti, M. A.

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

Wang, C.

Wang, P.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1975).

Wolff, P. A.

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Yeh, C. S.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Yeh, J. T.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Yu, L. B.

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Zheltikov, A. M.

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, J. W. Haus, and A. M. Zheltikov, “Negative refraction of ultrashort electromagnetic pulses,” Appl. Phys. B 81, 393-402 (2005).
[CrossRef]

Ziolkowski, R. W.

Appl. Phys. B (1)

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, J. W. Haus, and A. M. Zheltikov, “Negative refraction of ultrashort electromagnetic pulses,” Appl. Phys. B 81, 393-402 (2005).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

H. Caglayan, I. Bulu, and E. Ozbay, “Plasmonic structures with extraordinary transmission and highly directional beaming properties,” Microwave Opt. Technol. Lett. 48, 2491-2496 (2006).
[CrossRef]

Nature (1)

T. W. Ebessen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667-669 (1998).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Phys. Rev. A (1)

M. C. Larciprete, A. Belardini, M. G. Cappeddu, D. de Ceglia, M. Centini, E. Fazio, C. Sibilia, M. J. Bloemer, and M. Scalora, “Second harmonic generation from metallo-dielectric multilayer photonic band gap structures,” Phys. Rev. A 77, 013809 (2007).
[CrossRef]

Phys. Rev. B (2)

J. A. Porto, L. Martin-Moreno, and F. J. Garcia-Vidal, “Optical bistability in subwavelength slit apertures containing nonlinear media,” Phys. Rev. B 70, 081402 (2004).
[CrossRef]

L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang, J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[CrossRef]

Phys. Rev. Lett. (2)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebessen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86, 5601-5603 (2001).
[CrossRef] [PubMed]

Science (1)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebessen, “Beaming light from a subwavelength aperture,” Science 297, 820-822 (2002).
[CrossRef] [PubMed]

Other (5)

M. A. Vincenti, M. De Sario, V. Petruzzelli, A. D'Orazio, F. Prudenzano, D. de Ceglia, N. Akozbek, M. J. Bloemer, P. Ashley, and M. Scalora, “Enhanced transmission and second harmonic generation from subwavelength slits on metal substrates,” in Metamaterials III, N.P.Johnson, E.Özbay, R.W.Ziolkowski, and N.I.Zheludev, eds., Proc. SPIE 6987, 69870O (2008).

R. E. Collin, Antennas and Radiowave Propagation (McGraw Hill, 1985).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1975).

R. W. Boyd, Nonlinear Optics (Academic, 2003).

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

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Figures (10)

Fig. 1
Fig. 1

Sketch of the silver substrate. The parameter under investigation is the substrate thickness w. The slit has been filled with an ideal nonlinear material having a refractive index of n = 2 .

Fig. 2
Fig. 2

Transmission coefficient evaluated by varying (a) substrate thickness and (b) incident wavelength when w = 280 nm .

Fig. 3
Fig. 3

Transmission coefficient evaluated by varying the center-to-center distance between the slits.

Fig. 4
Fig. 4

Transmission coefficient as a function of the incident wavelength when the refractive index of the material filling the slit is changed, by introducing nonlinearity, for example. The structure under investigation has the following geometrical parameters: a = 120 , w = 280 , and s = 880 nm .

Fig. 5
Fig. 5

Sketch of the silver substrate with two subwavelength slits. The slit on the bottom has been filled with an ideal nonlinear material having a refractive index of n x .

Fig. 6
Fig. 6

Phase difference between the fields exiting from the slits as a function of the refractive index difference ( n x n ) .

Fig. 7
Fig. 7

(a) Angle formed by the beam with respect to the normal direction as a function of the refractive index n x . (b) Transverse shift of the longitudinal Poynting vector for different values of n x .

Fig. 8
Fig. 8

(a) Longitudinal Poynting vector from two similar vacuum-filled apertures carved on an Ag substrate approximately 200 nm thick. The beam divergence in this case is 26°. (b) Same as (a) except that now the index of one aperture is n = 1.4 and the beam divergence angle become 32°.

Fig. 9
Fig. 9

(a) Magnetic field intensity from two similar vacuum-filled apertures carved on a Ag substrate approximately 200 nm thick. (b) Same as (a) except that now the index of one aperture is n = 1.4 .

Fig. 10
Fig. 10

(a) Transmission values both with (square markers) and without (circle markers) the nonlinear process. When the nonlinear response is not activated all the slits have been filled with a material having a refractive index of n = 2 . If the nonlinear response is activated the slits have been filled with materials having the following refractive indices: n = 2 n x 1 = 2.1 n x 2 = 2.2 (three slit system), n = 2 n x 1 = 2.06 n x 2 = 2.13 n x 3 = 2.2 (four slit system), n = 2 n x 1 = 2.05 n x 2 = 2.1 n x 3 = 2.15 n x 4 = 2.2 (five slit system), n = 2 n x = 2.04 n x = 2.08 n x = 2.12 n x = 2.16 n x = 2.2 (six slit system). (b) Reports the saturation of the divergence angle increasing slit number from 2 to 6 under the same filling scheme of (a) both for the activated and nonactivated nonlinearity.

Equations (2)

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tanh ( β 2 k 0 2 ε d w 2 ) = ε d β 2 k 0 2 ε m ε m β 2 k 0 2 ε d ,
Φ = Φ 0 + Δ Φ 1 + Δ Φ 2 + β d θ ,

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