Abstract

We engineered numerically a dualband negative index metamaterial exhibiting polarization independence based on a double square ring pairs array and thin wire net pairs. The mechanism accomplishing the negative refractive index was interpreted using retrieved optical constants together with monitored field distribution. The influence of the substrate on the effective material parameters has also been analyzed qualitatively at the end of this work.

© 2012 Optical Society of America

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2012 (1)

2011 (4)

2010 (2)

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

2009 (1)

2008 (4)

Y. Yuan, C. Bingham, T. Tyler, S. Palit, T. H. Hand, W. J. Padilla, D. R. Smith, N. M. Jokerst, and S. A. Cummer, “Dual-band planar electric metamaterial in the terahertz regime,” Opt. Express 16, 9746–9752 (2008).
[CrossRef]

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

W. Zhu, X. Zhao, and J. Guo, “Multibands of negative refractive indexes in the left-handed metamaterials with multiple dendritic structures,” Appl. Phys. Lett. 92, 241116 (2008).
[CrossRef]

C. Menzel, C. Rockstuhl, T. Paul, and F. Lederer, “Retrieving effective parameters for metamaterials at oblique incidence,” Phys. Rev. B 77, 195328 (2008).
[CrossRef]

2007 (3)

2006 (3)

2005 (2)

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

2004 (2)

T. Koschny and M. Kafesaki, “Effective medium theory of left-handed materials,” Phys. Rev. Lett. 93, 107402 (2004).
[CrossRef]

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

1983 (1)

Akimov, Y. A.

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

Alexander, R. W.

Averitt, R. D.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Aydin, K.

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Bell, R. J.

Bell, R. R.

Bell, S. E.

Bingham, C.

Bingham, C. M.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Cai, W.

Chen, H.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Chen, K.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Chen, Q.

Cheng, D.

Chettiar, U. K.

Chipouline, A.

Cui, T. J.

Cummer, S. A.

Cumming, D. R. S.

Deng, L.

Dolling, G.

Drachev, V. P.

Economon, E. N.

Economou, E. N.

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Enkrich, C.

Fan, K.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Garcia-Vidal, F. J.

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

Goh, W. P.

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

Gökkavas, M.

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

Gong, Y.

Grant, J.

Grzegorcyzk, T. M.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Gündgdu, T. F.

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

Guo, J.

W. Zhu, X. Zhao, and J. Guo, “Multibands of negative refractive indexes in the left-handed metamaterials with multiple dendritic structures,” Appl. Phys. Lett. 92, 241116 (2008).
[CrossRef]

Güven, K.

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

Hand, T. H.

Helgert, C.

Huangfu, J.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Hudlicka, M.

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Jiang, W. X.

Jokerst, N. M.

Kafesaki, M.

T. Koschny and M. Kafesaki, “Effective medium theory of left-handed materials,” Phys. Rev. Lett. 93, 107402 (2004).
[CrossRef]

Khalid, A.

Kildishev, A. V.

Kley, E. B.

Koh, W. S.

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

Kong, J. A.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Koschny, T.

J. Zhou, E. N. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31, 3620–3622 (2006).
[CrossRef]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

T. Koschny and M. Kafesaki, “Effective medium theory of left-handed materials,” Phys. Rev. Lett. 93, 107402 (2004).
[CrossRef]

Kwon, D.

Lederer, F.

Li, H.

Li, Y.

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

Li, Z.

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Liu, X.

Long, L. L.

Lu, H.

Ma, H. F.

Ma, Y.

Markoš, P.

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Martin-Moreno, L.

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

Mary, A.

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

Menzel, C.

Ordal, M. A.

Özbay, E.

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Padilla, W. J.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Y. Yuan, C. Bingham, T. Tyler, S. Palit, T. H. Hand, W. J. Padilla, D. R. Smith, N. M. Jokerst, and S. A. Cummer, “Dual-band planar electric metamaterial in the terahertz regime,” Opt. Express 16, 9746–9752 (2008).
[CrossRef]

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids II(Academic, 1991).

Palit, S.

Pant, M.

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

Paul, T.

C. Menzel, C. Rockstuhl, T. Paul, and F. Lederer, “Retrieving effective parameters for metamaterials at oblique incidence,” Phys. Rev. B 77, 195328 (2008).
[CrossRef]

Pertsch, T.

Pilon, D.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Pshenay-Severin, E.

Ran, L.

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Rockstuhl, C.

Rodrigo, S. G.

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

Saha, S. C.

Sarychev, A. K.

Shalaev, V. M.

Shen, X. P.

Shrekenhamer, D.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Smith, D. R.

Y. Yuan, C. Bingham, T. Tyler, S. Palit, T. H. Hand, W. J. Padilla, D. R. Smith, N. M. Jokerst, and S. A. Cummer, “Dual-band planar electric metamaterial in the terahertz regime,” Opt. Express 16, 9746–9752 (2008).
[CrossRef]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Soukoulis, C. M.

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

J. Zhou, E. N. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31, 3620–3622 (2006).
[CrossRef]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Strikwerda, A. C.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Tao, H.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

Tretyakov, S. A.

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Tünnermann, A.

Tyler, T.

Vier, D. C.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Wang, G.

Wang, L.

Ward, C. A.

Wegener, M.

Werner, D. H.

Xiao, S.

Xie, J.

Yuan, H.

Yuan, Y.

Zhang, H.

Zhang, N.

Zhang, X.

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

Zhao, J. M.

Zhao, X.

W. Zhu, X. Zhao, and J. Guo, “Multibands of negative refractive indexes in the left-handed metamaterials with multiple dendritic structures,” Appl. Phys. Lett. 92, 241116 (2008).
[CrossRef]

Zhou, J.

Zhou, P.

Zhu, W.

W. Zhu, X. Zhao, and J. Guo, “Multibands of negative refractive indexes in the left-handed metamaterials with multiple dendritic structures,” Appl. Phys. Lett. 92, 241116 (2008).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

W. Zhu, X. Zhao, and J. Guo, “Multibands of negative refractive indexes in the left-handed metamaterials with multiple dendritic structures,” Appl. Phys. Lett. 92, 241116 (2008).
[CrossRef]

IEEE J. Photovoltaics (1)

W. S. Koh, M. Pant, Y. A. Akimov, W. P. Goh, and Y. Li, “Three-dimensional optoelectronic model for organic bulk heterojunction solar cells,” IEEE J. Photovoltaics 1, 84–92 (2011).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

T. F. Gündğdu, K. Güven, M. Gökkavas, C. M. Soukoulis, and E. Özbay, “A planar metamaterial with dual-band double-negative response at EHF,” IEEE J. Sel. Top. Quantum Electron. 16, 376–379 (2010).
[CrossRef]

J. Appl. Phys. (1)

H. Chen, L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorcyzk, and J. A. Kong, “Metamaterial exhibiting left-handed properties over multiple frequency bands,” J. Appl. Phys. 96, 5338–5340 (2004).
[CrossRef]

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

J. Phys. D (1)

H. Tao, C. M. Bingham, D. Pilon, K. Fan, A. C. Strikwerda, D. Shrekenhamer, W. J. Padilla, X. Zhang, and R. D. Averitt, “A dual band terahertz metamaterial absorber,” J. Phys. D 43, 225102 (2010).
[CrossRef]

New J. Phys. (1)

K. Aydin, Z. Li, M. Hudlicka, S. A. Tretyakov, and E. Özbay, “Transmission characteristics of bianisotropic metamaterials based on omega shaped metallic inclusions,” New J. Phys. 9, 326–326 (2007).
[CrossRef]

Opt. Express (5)

Opt. Lett. (5)

Phys. Rev. B (2)

C. Menzel, C. Rockstuhl, T. Paul, and F. Lederer, “Retrieving effective parameters for metamaterials at oblique incidence,” Phys. Rev. B 77, 195328 (2008).
[CrossRef]

T. Koschny, P. Markoš, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, “Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials,” Phys. Rev. B 71, 245105 (2005).
[CrossRef]

Phys. Rev. E (1)

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71, 036617 (2005).
[CrossRef]

Phys. Rev. Lett. (2)

T. Koschny and M. Kafesaki, “Effective medium theory of left-handed materials,” Phys. Rev. Lett. 93, 107402 (2004).
[CrossRef]

A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, “Theory of negative-refractive-index response of double-fishnet structures,” Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef]

Other (1)

E. D. Palik, Handbook of Optical Constants of Solids II(Academic, 1991).

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Figures (7)

Fig. 1.
Fig. 1.

Sketches of the numerically engineered (a) dual-band NIM sample and (b) unit cell.

Fig. 2.
Fig. 2.

Sketches of simulation settings: (a) real situation; i.e., the substrate is viewed as semi-infinite space. (b) Supposed dielectric space in which the metamaterial (MM) is embedded.

Fig. 3.
Fig. 3.

Simulated complex scattering parameters and corresponding retrieved optical constants.

Fig. 4.
Fig. 4.

Retrieved effective material parameters.

Fig. 5.
Fig. 5.

Retrieved effective material parameters for isolated DSRP, WNP, and composite. The same color convention in (a) and (b) is indicated.

Fig. 6.
Fig. 6.

Monitored physical quantities distribution: (a) and (b) magnetic energy density at 23.0 and 64.0 THz, respectively; (c) and (d) current density at 52.5 THz in perspective and side views, respectively.

Fig. 7.
Fig. 7.

Effective permittivity varies with the refractive index of the substrate: (a) real part and (b) imaginary part.

Equations (2)

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Zeff(ω)=±[(1+S11)2S212n12(1S11)2n22S212]1/2
cos[Neff(ω)kΔ]=n1(1S112)+n2S212(n2+n1)S21+(n2n1)S11S21,

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