Abstract

The magnetotunable left-handed characteristics of Fe77.5Si12.5B10 glass-coated ferromagnetic microwires are analyzed in array and single microwire configuration, employing a rectangular waveguide working in X band. While the negative permeability is ascribed to the natural ferromagnetic resonance (NFMR) of the highly and positive magnetostrictive microwire, the negative permittivity features of the medium are attributed to the interaction of the microwires with the metallic rectangular waveguide. The dependence of the NFMR frequency on the applied external magnetic field enables the design of magnetotunable left-handed systems with wide-frequency band.

© 2010 Optical Society of America

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    [CrossRef]
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  20. C. Kittel, Phys. Rev. 73, 155 (1948).
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2010

J. Carbonell, H. García-Miquel, and J. Sánchez-Dehesa, Phys. Rev. B 81, 024401 (2010).
[CrossRef]

2009

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

H. García-Miquel, J. Carbonell, V. E. Boria, and J. Sánchez-Dehesa, Appl. Phys. Lett. 94, 054103 (2009).
[CrossRef]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

H. Zhao, J. Zhou, L. Kang, and Q. Zhao, Opt. Express 17, 13373 (2009).
[CrossRef] [PubMed]

2008

S. A. Baranov, M. Yamaguchi, K. L. García, and M. Vázquez, Surf. Eng. Appl. Electrochem. 44, 425 (2008).
[CrossRef]

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

2007

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

2002

P. Markos and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).
[CrossRef]

P. Gay-Balmaz and O. J. F. Martin, J. Appl. Phys. 92, 2929 (2002).
[CrossRef]

2001

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78, 489 (2001).
[CrossRef]

2000

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

1999

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

1997

A. Zhukov, M. Vázquez, J. Velázquez, A. Hernando, and V. Larin, J. Magn. Magn. Mater. 170, 323 (1997).
[CrossRef]

1996

M. Vázquez and A. P. Zhukov, J. Magn. Magn. Mater. 160, 223 (1996).
[CrossRef]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[CrossRef] [PubMed]

1968

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

1965

P. W. Hannan and M. A. Balfour, IEEE Trans. Antennas Propag. 13, 342 (1965).
[CrossRef]

1948

C. Kittel, Phys. Rev. 73, 155 (1948).
[CrossRef]

Ai, F.

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

Akyel, C.

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

Badini-Confalonieri, G.

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

Bai, Y.

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Balfour, M. A.

P. W. Hannan and M. A. Balfour, IEEE Trans. Antennas Propag. 13, 342 (1965).
[CrossRef]

Baranov, S.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Baranov, S. A.

S. A. Baranov, M. Yamaguchi, K. L. García, and M. Vázquez, Surf. Eng. Appl. Electrochem. 44, 425 (2008).
[CrossRef]

Belous, A. G.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Belozorov, D. P.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Blanco, J. M.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Boria, V. E.

H. García-Miquel, J. Carbonell, V. E. Boria, and J. Sánchez-Dehesa, Appl. Phys. Lett. 94, 054103 (2009).
[CrossRef]

Carbonell, J.

J. Carbonell, H. García-Miquel, and J. Sánchez-Dehesa, Phys. Rev. B 81, 024401 (2010).
[CrossRef]

H. García-Miquel, J. Carbonell, V. E. Boria, and J. Sánchez-Dehesa, Appl. Phys. Lett. 94, 054103 (2009).
[CrossRef]

Ciureanu, M.

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

Ciureanu, P.

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

Cobeño, A. F.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

García, K. L.

S. A. Baranov, M. Yamaguchi, K. L. García, and M. Vázquez, Surf. Eng. Appl. Electrochem. 44, 425 (2008).
[CrossRef]

García-Miquel, H.

J. Carbonell, H. García-Miquel, and J. Sánchez-Dehesa, Phys. Rev. B 81, 024401 (2010).
[CrossRef]

H. García-Miquel, J. Carbonell, V. E. Boria, and J. Sánchez-Dehesa, Appl. Phys. Lett. 94, 054103 (2009).
[CrossRef]

Gay-Balmaz, P.

P. Gay-Balmaz and O. J. F. Martin, J. Appl. Phys. 92, 2929 (2002).
[CrossRef]

González, J.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Gonzalo, R.

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

Hannan, P. W.

P. W. Hannan and M. A. Balfour, IEEE Trans. Antennas Propag. 13, 342 (1965).
[CrossRef]

Hernando, A.

A. Zhukov, M. Vázquez, J. Velázquez, A. Hernando, and V. Larin, J. Magn. Magn. Mater. 170, 323 (1997).
[CrossRef]

Holden, A. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[CrossRef] [PubMed]

Ikonen, P.

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

Infante, G.

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

Kalmykova, T. V.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Kang, L.

Khodzitsky, M. K.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Kittel, C.

C. Kittel, Phys. Rev. 73, 155 (1948).
[CrossRef]

Kraus, L.

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

Kroll, N.

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

Larin, V.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

A. Zhukov, M. Vázquez, J. Velázquez, A. Hernando, and V. Larin, J. Magn. Magn. Mater. 170, 323 (1997).
[CrossRef]

Li, L.

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Markos, P.

P. Markos and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).
[CrossRef]

Martin, O. J. F.

P. Gay-Balmaz and O. J. F. Martin, J. Appl. Phys. 92, 2929 (2002).
[CrossRef]

Nemat-Nasser, S. C.

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78, 489 (2001).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[CrossRef] [PubMed]

Peng, L.

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Pina, E.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Pogorily, A. M.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Prieto, M. J.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Qiao, L.

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

Saenz, E.

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

Sánchez-Dehesa, J.

J. Carbonell, H. García-Miquel, and J. Sánchez-Dehesa, Phys. Rev. B 81, 024401 (2010).
[CrossRef]

H. García-Miquel, J. Carbonell, V. E. Boria, and J. Sánchez-Dehesa, Appl. Phys. Lett. 94, 054103 (2009).
[CrossRef]

Schultz, S.

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78, 489 (2001).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Shelby, R. A.

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78, 489 (2001).
[CrossRef]

Simovski, C.

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

Sklyuyev, A.

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

Smith, D. R.

R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78, 489 (2001).
[CrossRef]

D. R. Smith and N. Kroll, Phys. Rev. Lett. 85, 2933 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Solopan, S. A.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Soukoulis, C. M.

P. Markos and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).
[CrossRef]

Stewart, W. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[CrossRef] [PubMed]

Tarapov, S. I.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Torcunov, A.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

Torrejón, J.

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

Tovstolytkin, A. A. I.

M. K. Khodzitsky, T. V. Kalmykova, S. I. Tarapov, D. P. Belozorov, A. M. Pogorily, A. A. I. Tovstolytkin, A. G. Belous, and S. A. Solopan, Appl. Phys. Lett. 95, 082903(2009).
[CrossRef]

Tretyakov, S.

P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski, and S. Tretyakov, Metamater. 1, 89 (2007).
[CrossRef]

Vázquez, M.

L. Kraus, M. Vázquez, G. Infante, G. Badini-Confalonieri, and J. Torrejón, Appl. Phys. Lett. 94, 062505 (2009).
[CrossRef]

S. A. Baranov, M. Yamaguchi, K. L. García, and M. Vázquez, Surf. Eng. Appl. Electrochem. 44, 425 (2008).
[CrossRef]

A. Zhukov, M. Vázquez, J. Velázquez, A. Hernando, and V. Larin, J. Magn. Magn. Mater. 170, 323 (1997).
[CrossRef]

M. Vázquez and A. P. Zhukov, J. Magn. Magn. Mater. 160, 223 (1996).
[CrossRef]

Velázquez, J.

A. Zhukov, M. Vázquez, J. Velázquez, A. Hernando, and V. Larin, J. Magn. Magn. Mater. 170, 323 (1997).
[CrossRef]

Veselago, V. G.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
[CrossRef] [PubMed]

Xu, F.

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

Yamaguchi, M.

S. A. Baranov, M. Yamaguchi, K. L. García, and M. Vázquez, Surf. Eng. Appl. Electrochem. 44, 425 (2008).
[CrossRef]

Yelon, A.

A. Sklyuyev, M. Ciureanu, C. Akyel, P. Ciureanu, and A. Yelon, J. Appl. Phys. 105, 023914 (2009).
[CrossRef]

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
[CrossRef] [PubMed]

Zhao, H.

H. Zhao, J. Zhou, L. Kang, and Q. Zhao, Opt. Express 17, 13373 (2009).
[CrossRef] [PubMed]

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Zhao, Q.

H. Zhao, J. Zhou, L. Kang, and Q. Zhao, Opt. Express 17, 13373 (2009).
[CrossRef] [PubMed]

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Zhou, J.

H. Zhao, J. Zhou, L. Kang, and Q. Zhao, Opt. Express 17, 13373 (2009).
[CrossRef] [PubMed]

F. Xu, Y. Bai, F. Ai, L. Qiao, H. Zhao, and J. Zhou, J. Appl. Phys. D 42, 065416 (2009).
[CrossRef]

F. Xu, Y. Bai, L. Qiao, H. Zhao, and J. Zhou, Appl. Phys. Lett. 95, 114104 (2009).
[CrossRef]

H. Zhao, J. Zhou, Q. Zhao, L. Li, L. Peng, and Y. Bai, Appl. Phys. Lett. 93, 201106 (2008).
[CrossRef]

Zhukov, A.

A. Zhukov, A. F. Cobeño, J. González, A. Torcunov, E. Pina, M. J. Prieto, J. M. Blanco, V. Larin, and S. Baranov, J. Magn. Magn. Mater. 203, 238 (1999).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Scheme of the employed experimental setup.

Fig. 2
Fig. 2

Transmission ( S 21 ), reflection ( S 11 ), and absorption coefficients of the three microwire array for different applied magnetic fields, H 0 = 0 kA / m (black), H 1 = 28.64 kA / m ( □ ), H 2 = 53.31 kA / m ( ○ ), H 3 = 77.98 kA / m (▴), and H 4 = 103.45 kA / m ( △ ). Microwires are electrically isolated from the metallic waveguide.

Fig. 3
Fig. 3

Transmission ( S 21 ), reflection ( S 11 ), and absorption coefficients of a single microwire for different applied magnetic fields, H 0 = 0 kA / m (black), H 1 = 28.64 kA / m ( □ ), H 2 = 53.31 kA / m ( ○ ), H 3 = 77.98 kA / m (▴), H 4 = 103.45 kA / m ( △ ). (a) The microwire electrically isolated to the metallic waveguide. (b) The microwire short-circuited with the metallic waveguide.

Fig. 4
Fig. 4

Increment of the frequency peak position, Δ f r , as a function of the increment of applied static magnetic field, Δ H DC . A (circle) is one microwire short-circuited with the metallic waveguide. B (square) is one microwire electrically isolated from the metallic waveguide. C (triangle) is the array of microwires electrically isolated from the metallic waveguide.

Equations (1)

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f r = γ 2 π [ H DC + H K + M S 2 ] ,

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