Abstract

The effect of optical transmission through an array of vortices in a type-II superconducting film subjected to a strong magnetic field is analyzed. The mechanism responsible for this effect is resonance transmission between two surface plasmon polaritons (SPPs) in the system. The SPP band gap in the system is studied as a function of magnetic field. The transmittance through a system consisting of one vortex embedded in such a film is computed using the finite difference time domain method. The control of transmission by varying magnetic field is analyzed. Applications of the studied phenomena for developing tunable sensors are discussed.

© 2013 Optical Society of America

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  3. F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
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    [CrossRef]
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    [CrossRef]

2011

2010

2009

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

2008

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

2007

Yu. E. Lozovik, S. L. Eiderman, and M. Willander, “The two-dimensional superconducting photonic crystal,” Laser Phys. 17, 1183–1186 (2007).
[CrossRef]

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

2006

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

2005

M. Ricci, N. Orloff, and S. M. Anlage, “Superconducting metamaterials,” Appl. Phys. Lett. 87, 034102 (2005).
[CrossRef]

D. N. Basov and T. Timusk, “Electrodynamics of high-Tc superconductors,” Rev. Mod. Phys. 77, 721–779 (2005).
[CrossRef]

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131–314 (2005).
[CrossRef]

2004

H. Takeda, K. Yoshino, and A. A. Zakhidov, “Properties of Abrikosov lattices as photonic crystals,” Phys. Rev. B 70, 085109 (2004).
[CrossRef]

2003

H. Takeda and K. Yoshino, “Tunable light propagation in Y-shaped waveguides in two-dimensional photonic crystals utilizing liquid crystals as linear defects,” Phys. Rev. B 67, 073106 (2003).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature superconductors,” Phys. Rev. B 67, 245109 (2003).
[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).
[CrossRef]

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

1999

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[CrossRef]

1998

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

1997

P. A. Lee and X. G. Wen, “Unusual superconducting state of underdoped cuprates,” Phys. Rev. Lett. 78, 4111–4114 (1997).
[CrossRef]

1996

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

1993

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

A. L. Dobryakov, V. M. Farztdinov, and Yu. E. Lozovik, “Energy gap in the optical spectrum of superconductors,” Phys. Rev. B 47, 11515–11517 (1993).
[CrossRef]

1992

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

1991

M. D. Lan, J. Z. Liu, and R. N. Shelton, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 43, 12989–12993 (1991).
[CrossRef]

1987

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062(1987).
[CrossRef]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
[CrossRef]

Abrikosov, A. A.

A. A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, 1988).

Alherhand, O. L.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

Anlage, S. M.

M. Ricci, N. Orloff, and S. M. Anlage, “Superconducting metamaterials,” Appl. Phys. Lett. 87, 034102 (2005).
[CrossRef]

Basov, D. N.

D. N. Basov and T. Timusk, “Electrodynamics of high-Tc superconductors,” Rev. Mod. Phys. 77, 721–779 (2005).
[CrossRef]

Berman, O. L.

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

Blachere, J.

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

Boyko, V. S.

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

Brommer, K. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

Cao, C.

Chen, J.

Coalson, R. D.

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

Crabtre, G. W.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Dai, H.

Dai, P.

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Darmanyan, S. A.

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).
[CrossRef]

De Gennes, P. G.

P. G. De Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, 1966).

Dobryakov, A. L.

A. L. Dobryakov, V. M. Farztdinov, and Yu. E. Lozovik, “Energy gap in the optical spectrum of superconductors,” Phys. Rev. B 47, 11515–11517 (1993).
[CrossRef]

Dogan, F.

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Downey, J. W.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

Ebbesen, T. W.

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

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

Eiderman, S. L.

Yu. E. Lozovik, S. L. Eiderman, and M. Willander, “The two-dimensional superconducting photonic crystal,” Laser Phys. 17, 1183–1186 (2007).
[CrossRef]

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

Farztdinov, V. M.

A. L. Dobryakov, V. M. Farztdinov, and Yu. E. Lozovik, “Energy gap in the optical spectrum of superconductors,” Phys. Rev. B 47, 11515–11517 (1993).
[CrossRef]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[CrossRef]

Ghaemi, H. F.

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

Gu, J.

Han, J.

Hua, J.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Jia, T.

Jin, B.

Joannopoulos, J. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: The Road from Theory to Practice (Princeton University, 1995).

John, S.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
[CrossRef]

Jung, Y. S.

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

Kang, L.

Kats, A. V.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Kezerashvili, R. Ya.

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

Kim, H. K.

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

Kwok, W. K.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Lan, M. D.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

M. D. Lan, J. Z. Liu, and R. N. Shelton, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 43, 12989–12993 (1991).
[CrossRef]

Lee, P. A.

P. A. Lee and X. G. Wen, “Unusual superconducting state of underdoped cuprates,” Phys. Rev. Lett. 78, 4111–4114 (1997).
[CrossRef]

Lezec, H. J.

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

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

Lindemer, T. B.

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Liu, J. Z.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

M. D. Lan, J. Z. Liu, and R. N. Shelton, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 43, 12989–12993 (1991).
[CrossRef]

Lozovik, Yu. E.

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

Yu. E. Lozovik, S. L. Eiderman, and M. Willander, “The two-dimensional superconducting photonic crystal,” Laser Phys. 17, 1183–1186 (2007).
[CrossRef]

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

A. L. Dobryakov, V. M. Farztdinov, and Yu. E. Lozovik, “Energy gap in the optical spectrum of superconductors,” Phys. Rev. B 47, 11515–11517 (1993).
[CrossRef]

Maradudin, A. A.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131–314 (2005).
[CrossRef]

Martin-Moreno, L.

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

Meade, R. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: The Road from Theory to Practice (Princeton University, 1995).

Mook, H. A.

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Nesterov, M. L.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Nikitin, A. Yu.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Nori, F.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Novosad, V.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Orloff, N.

M. Ricci, N. Orloff, and S. M. Anlage, “Superconducting metamaterials,” Appl. Phys. Lett. 87, 034102 (2005).
[CrossRef]

Patel, U.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Pearson, J.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Pendry, J. B.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[CrossRef]

Porto, J. A.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[CrossRef]

Radousky, H. B.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

Rappe, A. M.

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

Ricci, M.

M. Ricci, N. Orloff, and S. M. Anlage, “Superconducting metamaterials,” Appl. Phys. Lett. 87, 034102 (2005).
[CrossRef]

Rosenmann, D.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Savel’ev, S.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Shelton, R. N.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

M. D. Lan, J. Z. Liu, and R. N. Shelton, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 43, 12989–12993 (1991).
[CrossRef]

Singh, R.

Slipchenko, T. M.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Smolyaninov, I. I.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131–314 (2005).
[CrossRef]

Sun, Z.

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

Taflove, A.

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).

Takeda, H.

H. Takeda, K. Yoshino, and A. A. Zakhidov, “Properties of Abrikosov lattices as photonic crystals,” Phys. Rev. B 70, 085109 (2004).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable light propagation in Y-shaped waveguides in two-dimensional photonic crystals utilizing liquid crystals as linear defects,” Phys. Rev. B 67, 073106 (2003).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature superconductors,” Phys. Rev. B 67, 245109 (2003).
[CrossRef]

Thio, T.

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

Tian, Z.

Timusk, T.

D. N. Basov and T. Timusk, “Electrodynamics of high-Tc superconductors,” Rev. Mod. Phys. 77, 721–779 (2005).
[CrossRef]

Veal, B. W.

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

Wang, H.

Welp, U.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Wen, X. G.

P. A. Lee and X. G. Wen, “Unusual superconducting state of underdoped cuprates,” Phys. Rev. Lett. 78, 4111–4114 (1997).
[CrossRef]

Willander, M.

Yu. E. Lozovik, S. L. Eiderman, and M. Willander, “The two-dimensional superconducting photonic crystal,” Laser Phys. 17, 1183–1186 (2007).
[CrossRef]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: The Road from Theory to Practice (Princeton University, 1995).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).

Wolff, P. A.

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

Wu, J.

Wu, P.

Xiao, Z. L.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Xing, Q.

Xu, T.

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

Xu, W.

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062(1987).
[CrossRef]

Yampolskii, V. A.

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

Yethiraj, M.

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Yoshino, K.

H. Takeda, K. Yoshino, and A. A. Zakhidov, “Properties of Abrikosov lattices as photonic crystals,” Phys. Rev. B 70, 085109 (2004).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable light propagation in Y-shaped waveguides in two-dimensional photonic crystals utilizing liquid crystals as linear defects,” Phys. Rev. B 67, 073106 (2003).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature superconductors,” Phys. Rev. B 67, 245109 (2003).
[CrossRef]

Zakhidov, A. A.

H. Takeda, K. Yoshino, and A. A. Zakhidov, “Properties of Abrikosov lattices as photonic crystals,” Phys. Rev. B 70, 085109 (2004).
[CrossRef]

Zayats, A. V.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131–314 (2005).
[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).
[CrossRef]

Zhang, C.

Zhang, W.

Appl. Phys. Lett.

M. Ricci, N. Orloff, and S. M. Anlage, “Superconducting metamaterials,” Appl. Phys. Lett. 87, 034102 (2005).
[CrossRef]

Y. S. Jung, Z. Sun, H. K. Kim, and J. Blachere, “Blueshift of surface plasmon resonance spectra in anneal-treated silver nanoslit arrays,” Appl. Phys. Lett. 87, 263116 (2005).
[CrossRef]

Laser Phys.

Yu. E. Lozovik, S. L. Eiderman, and M. Willander, “The two-dimensional superconducting photonic crystal,” Laser Phys. 17, 1183–1186 (2007).
[CrossRef]

Nature

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

Opt. Express

Opt. Lett.

Phys. Rep.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131–314 (2005).
[CrossRef]

Phys. Rev. B

M. D. Lan, J. Z. Liu, and R. N. Shelton, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 43, 12989–12993 (1991).
[CrossRef]

M. D. Lan, J. Z. Liu, R. N. Shelton, H. B. Radousky, B. W. Veal, and J. W. Downey, “Effects of Cu substitution by Fe on the magnetic properties of YBa2Cu3O7−y single crystals,” Phys. Rev. B 46, 11919–11922 (1992).
[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).
[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alherhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434–8437 (1993).
[CrossRef]

O. L. Berman, V. S. Boyko, R. Ya. Kezerashvili, and Yu. E. Lozovik, “Anomalous far-infrared monochromatic transmission through a film of type-II superconductor in magnetic field,” Phys. Rev. B 78, 094506 (2008).
[CrossRef]

A. L. Dobryakov, V. M. Farztdinov, and Yu. E. Lozovik, “Energy gap in the optical spectrum of superconductors,” Phys. Rev. B 47, 11515–11517 (1993).
[CrossRef]

U. Patel, Z. L. Xiao, J. Hua, T. Xu, D. Rosenmann, V. Novosad, J. Pearson, U. Welp, W. K. Kwok, and G. W. Crabtre, “Origin of the matching effect in a superconducting film with a hole array,” Phys. Rev. B 76, 020508(R) (2007).
[CrossRef]

V. A. Yampolskii, A. V. Kats, M. L. Nesterov, A. Yu. Nikitin, T. M. Slipchenko, S. Savel’ev, and F. Nori, “Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors,” Phys. Rev. B 79, 214501 (2009).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable light propagation in Y-shaped waveguides in two-dimensional photonic crystals utilizing liquid crystals as linear defects,” Phys. Rev. B 67, 073106 (2003).
[CrossRef]

H. Takeda and K. Yoshino, “Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature superconductors,” Phys. Rev. B 67, 245109 (2003).
[CrossRef]

H. Takeda, K. Yoshino, and A. A. Zakhidov, “Properties of Abrikosov lattices as photonic crystals,” Phys. Rev. B 70, 085109 (2004).
[CrossRef]

O. L. Berman, Yu. E. Lozovik, S. L. Eiderman, and R. D. Coalson, “Superconducting photonic crystals: numerical calculations of the band structure,” Phys. Rev. B 74, 092505 (2006).
[CrossRef]

Phys. Rev. Lett.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062(1987).
[CrossRef]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[CrossRef]

F. J. Garcia-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martin-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett. 90, 213901 (2003).
[CrossRef]

P. A. Lee and X. G. Wen, “Unusual superconducting state of underdoped cuprates,” Phys. Rev. Lett. 78, 4111–4114 (1997).
[CrossRef]

P. Dai, M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Doğan, “Magnetic dynamics in underdoped YBa2Cu3O7−x: direct observation of a superconducting gap,” Phys. Rev. Lett. 77, 5425–5428 (1996).
[CrossRef]

Rev. Mod. Phys.

D. N. Basov and T. Timusk, “Electrodynamics of high-Tc superconductors,” Rev. Mod. Phys. 77, 721–779 (2005).
[CrossRef]

Other

P. G. De Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, 1966).

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 1995).

A. A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, 1988).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: The Road from Theory to Practice (Princeton University, 1995).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).

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Figures (5)

Fig. 1.
Fig. 1.

Lower frequencies of the first SPP band gap as a function of magnetic field H at T=10K.

Fig. 2.
Fig. 2.

Width of the SPP band gap as a function of magnetic field H at T=10K.

Fig. 3.
Fig. 3.

Dependence of the vortex lattice period a on the magnetic field H at T=10K.

Fig. 4.
Fig. 4.

Rectangular calculation cell used for simulation of triangular lattice of Abrikosov vortices (a—period of the lattice, ξ—radius of the vortex, coherence length). Dashed line corresponds to the borders of the computation region.

Fig. 5.
Fig. 5.

Transmittance per vortex through the film of type-II superconductor as a function of external magnetic field H at the frequency ω=ω0 at T=10K. The thickness of the film is given by d=750nm. Case (a) corresponds to the light polarization parallel to the side of the cell of the triangular lattice of the Abrikosov lattice and (b) corresponds to the polarization parallel to the bisecting line of the cell of the Abrikosov lattice.

Equations (16)

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

B(H,T)=H+4πM(H,T)=2ϕ03a2(H,T),
B(H,T)=H+4π(1D)M(H,T)=2ϕ03a2(H,T).
εII(x,y)=εII(x+na,y+ma),
εII=n=enexp(ingx),E⃗=n=E⃗nexp(ingx),
εII(x)=ε0+ε1cos(gx).
E⃗=[A⃗+B⃗cos(gx)+C⃗sin(gx)]eκz.
(εIIk02+2z2)Ex2Ezzx=0,(εIIk02+2x2)Ez2Exzx=0,
κ1,22=12[g22ε0k02g4+8α1ε0k02(ε0k02g2)],κ32=ε0k02+g212α1,
ωaω0(1+Δ1+iΔ2),
Δ1α01[β3+2β2+3β+22(β2+β+1)1+β](1β2)(1β)β<0,
Δ22α01[2+2β(2+β)1+β](1β2)(1β)β<0,
ω02=c2g2εI(ω0)+ε0(ω0)εI(ω0)ε0(ω0),
ωbω0[1α01β(2+β)1β2]
εin(ω)=1ωp2ω(ω+iγ),
εout(ω)=1ωps2ω2ωpn2ω(ω+iγ),
ω04+ω02γ2ωp2ω0212ωps2γ2=c2g2(2(ω02+γ2)ωp2γ2ωps22ω02).

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