Abstract

Diffraction of plane waves on dielectric gratings with planar plasmonic inserts is studied with the emphasis put on the anomalous selectivity of diffraction orders. It is shown that some formally propagating orders can be suppressed within a wide frequency range. The effect of suppression is more general than the isolation effect observed earlier in zero-permittivity and (near-)zero-index slabs and sensitive to the frequency dependent peculiarities of the field distribution within the plasmonic layer. It is required that the real part of the permittivity of this layer is positive less than unity. The wideband features of the suppression effect, i.e., one-way transmission and diffraction-free reflection are demonstrated. Narrowband selectivity effects are also studied. The structures suggested can be used for extending the potential of technologies that are based on multibeam operation and field transformation.

© 2009 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  4. M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
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    [CrossRef]
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  9. M. Silverihna and N. Engheta, "Design of matched zero-index metamaterials using non-magnetic inclusions in epsilon-near-zero media," Phys. Rev. B 75, 075119 (2007).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2008 (1)

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

2007 (4)

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

M. Silverihna and N. Engheta, "Design of matched zero-index metamaterials using non-magnetic inclusions in epsilon-near-zero media," Phys. Rev. B 75, 075119 (2007).
[CrossRef]

2006 (7)

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, "Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface," Phys. Rev. E 74, 066607 (2006).
[CrossRef]

B. Baumeier, T. A. Leskova, and A. A. Maradudin, "Transmission through thin metal film with periodically and randomly corrugated surfaces," J. Opt. A 8, S191-S207 (2006).
[CrossRef]

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, "Suppressed light transmission through corrugated metal films at normal incidence," J. Opt. Soc. Am A 23, 2315-2319 (2006).
[CrossRef]

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction," J. Opt. Soc. Am. B 23, 514-528 (2006).
[CrossRef]

2005 (3)

2004 (3)

I. R. Hooper and J. R. Sambles, "Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces," Phys. Rev. B 70, 045421 (2004).
[CrossRef]

R. W. Ziolkowski and C.-Y. Cheng, "Lumped element models of double negative metamaterial-based transmission lines," Radio Sci. 39, RS2017 (2004).
[CrossRef]

R.W. Ziolkowski, "Propagation in and scattering from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).
[CrossRef]

2003 (2)

2002 (1)

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

1996 (1)

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

Alu, A.

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

Aronsson, M. T.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Averitt, R. D.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Baumeier, B.

B. Baumeier, T. A. Leskova, and A. A. Maradudin, "Transmission through thin metal film with periodically and randomly corrugated surfaces," J. Opt. A 8, S191-S207 (2006).
[CrossRef]

Bonod, N.

Cakmak, A. O.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

Caliskan, M. D.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

Cheng, C.-Y.

R. W. Ziolkowski and C.-Y. Cheng, "Lumped element models of double negative metamaterial-based transmission lines," Radio Sci. 39, RS2017 (2004).
[CrossRef]

Chong, J. D.

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Depine, R. A.

R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction," J. Opt. Soc. Am. B 23, 514-528 (2006).
[CrossRef]

R. A. Depine, A. Lakhtakia, and D. R. Smith, "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material," Phys. Lett. A 337, 155-160 (2005).
[CrossRef]

Dvoynenko, M. M.

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, "Suppressed light transmission through corrugated metal films at normal incidence," J. Opt. Soc. Am A 23, 2315-2319 (2006).
[CrossRef]

Economou, E. N.

Engheta, N.

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

M. Silverihna and N. Engheta, "Design of matched zero-index metamaterials using non-magnetic inclusions in epsilon-near-zero media," Phys. Rev. B 75, 075119 (2007).
[CrossRef]

Enoch, S.

N. Bonod, S. Enoch, L. Li, E. Popov, and M. Neviere, "Resonant optical transmission through thin metallic films with and without holes," Opt. Express 11, 482-490 (2003).
[CrossRef] [PubMed]

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Guerin, N.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Gundogdu, T. F.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, Th. Koschny, and C. M. Soukoulis, "Magnetic response of split-ring resonators in the far-infrared frequency regime," Opt. Lett. 30, 1348-1350 (2005).
[CrossRef] [PubMed]

Guven, K.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

Hibbins, A. P.

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

Highstrete, C.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Holden, A. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

Hooper, I. R.

I. R. Hooper and J. R. Sambles, "Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces," Phys. Rev. B 70, 045421 (2004).
[CrossRef]

Inchaussandague, M. E.

Joannopoulos, J. D.

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Jylhä, L.

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

Kafesaki, M.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, Th. Koschny, and C. M. Soukoulis, "Magnetic response of split-ring resonators in the far-infrared frequency regime," Opt. Lett. 30, 1348-1350 (2005).
[CrossRef] [PubMed]

Katsarakis, N.

Kolmakov, I.

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

Konstantinidis, G.

Koschny, Th.

Kostopoulos, A.

Lakhtakia, A.

R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction," J. Opt. Soc. Am. B 23, 514-528 (2006).
[CrossRef]

R. A. Depine, A. Lakhtakia, and D. R. Smith, "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material," Phys. Lett. A 337, 155-160 (2005).
[CrossRef]

Lee, M.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Leskova, T. A.

B. Baumeier, T. A. Leskova, and A. A. Maradudin, "Transmission through thin metal film with periodically and randomly corrugated surfaces," J. Opt. A 8, S191-S207 (2006).
[CrossRef]

Li, L.

Lockyear, M. J.

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

Magath, T.

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, "Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface," Phys. Rev. E 74, 066607 (2006).
[CrossRef]

T. Magath and A. E. Serebryannikov, "Fast iterative, coupled-integral-equation technique for inhomogeneous profiled and periodic slabs," J. Opt. Soc. Am. A 22, 2405-2418 (2005).
[CrossRef]

Maradudin, A. A.

B. Baumeier, T. A. Leskova, and A. A. Maradudin, "Transmission through thin metal film with periodically and randomly corrugated surfaces," J. Opt. A 8, S191-S207 (2006).
[CrossRef]

Maslovski, S.

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

Neviere, M.

Ozbay, E.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

Padilla, W. J.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Penciu, R. S.

Pendry, J. B.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

Piestun, R.

Popov, E.

Sabouroux, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Salandrino, A.

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

Sambles, J. R.

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

I. R. Hooper and J. R. Sambles, "Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces," Phys. Rev. B 70, 045421 (2004).
[CrossRef]

Samoylenko, I. I.

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, "Suppressed light transmission through corrugated metal films at normal incidence," J. Opt. Soc. Am A 23, 2315-2319 (2006).
[CrossRef]

Schuenemann, K.

A. E. Serebryannikov, T. Magath, and K. Schuenemann, "Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface," Phys. Rev. E 74, 066607 (2006).
[CrossRef]

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

Schwartz, B. T.

Serebryannikov, A. E.

A. E. Serebryannikov, T. Magath, and K. Schuenemann, "Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface," Phys. Rev. E 74, 066607 (2006).
[CrossRef]

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

T. Magath and A. E. Serebryannikov, "Fast iterative, coupled-integral-equation technique for inhomogeneous profiled and periodic slabs," J. Opt. Soc. Am. A 22, 2405-2418 (2005).
[CrossRef]

Silveirinha, M. G.

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

Silverihna, M.

M. Silverihna and N. Engheta, "Design of matched zero-index metamaterials using non-magnetic inclusions in epsilon-near-zero media," Phys. Rev. B 75, 075119 (2007).
[CrossRef]

Smith, D. R.

R. A. Depine, A. Lakhtakia, and D. R. Smith, "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material," Phys. Lett. A 337, 155-160 (2005).
[CrossRef]

Soljacic, M.

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

Soukoulis, C. M.

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, Th. Koschny, and C. M. Soukoulis, "Magnetic response of split-ring resonators in the far-infrared frequency regime," Opt. Lett. 30, 1348-1350 (2005).
[CrossRef] [PubMed]

Stewart, W. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

Tayeb, G.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Taylor, A. J.

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

Tretyakov, S.

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

Vasylchenko, O.Y.

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

Vincent, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Wang, J.-K.

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, "Suppressed light transmission through corrugated metal films at normal incidence," J. Opt. Soc. Am A 23, 2315-2319 (2006).
[CrossRef]

Wang, Z.

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

White, K. R.

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

Ziolkowski, R. W.

R. W. Ziolkowski and C.-Y. Cheng, "Lumped element models of double negative metamaterial-based transmission lines," Radio Sci. 39, RS2017 (2004).
[CrossRef]

Ziolkowski, R.W.

R.W. Ziolkowski, "Propagation in and scattering from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).
[CrossRef]

J. Appl. Phys. (1)

L. Jylhä, I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys. 99, 043102 (2006).
[CrossRef]

J. Opt. A (2)

K. Guven, A. O. Cakmak, M. D. Caliskan, T. F. Gundogdu, M. Kafesaki, C. M. Soukoulis, and E. Ozbay, "Bilayer metamaterial: analysis of left-handed transmission and retrieval of effective medium parameters," J. Opt. A 9, S361-S365 (2007).
[CrossRef]

B. Baumeier, T. A. Leskova, and A. A. Maradudin, "Transmission through thin metal film with periodically and randomly corrugated surfaces," J. Opt. A 8, S191-S207 (2006).
[CrossRef]

J. Opt. Soc. Am A (1)

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, "Suppressed light transmission through corrugated metal films at normal incidence," J. Opt. Soc. Am A 23, 2315-2319 (2006).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

Opt. Express (1)

Opt. Lett. (1)

Phys. Lett. A (1)

R. A. Depine, A. Lakhtakia, and D. R. Smith, "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material," Phys. Lett. A 337, 155-160 (2005).
[CrossRef]

Phys. Rev. B (5)

I. R. Hooper and J. R. Sambles, "Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces," Phys. Rev. B 70, 045421 (2004).
[CrossRef]

W. J. Padilla, M. T. Aronsson, C. Highstrete, M. Lee, A. J. Taylor, and R. D. Averitt, "Electrically resonant terahertz metamaterials," Phys. Rev. B 75, 041102 (2007).
[CrossRef]

M. Silverihna and N. Engheta, "Design of matched zero-index metamaterials using non-magnetic inclusions in epsilon-near-zero media," Phys. Rev. B 75, 075119 (2007).
[CrossRef]

A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, "Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007).
[CrossRef]

A. E. Serebryannikov, T. Magath, K. Schuenemann, and O.Y. Vasylchenko, "Scattering of s-polarized plane waves by finite-thickness periodic structures made of ultralow-permittivity metamaterials," Phys. Rev. B 73, 115111 (2006).
[CrossRef]

Phys. Rev. E (3)

M. J. Lockyear, A. P. Hibbins, K. R. White, and J. R. Sambles, "One-way diffraction grating," Phys. Rev. E 74, 056611 (2006).
[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, "Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface," Phys. Rev. E 74, 066607 (2006).
[CrossRef]

R.W. Ziolkowski, "Propagation in and scattering from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

Z. Wang, J. D. Chong, J. D. Joannopoulos, and M. Soljacic, "Reflection-free one-way edge modes in gyromagnetic photonic crystals," Phys. Rev. Lett. 100, 013905 (2008).
[CrossRef] [PubMed]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
[CrossRef] [PubMed]

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, "A metamaterial for directive emission," Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef] [PubMed]

Radio Sci. (1)

R. W. Ziolkowski and C.-Y. Cheng, "Lumped element models of double negative metamaterial-based transmission lines," Radio Sci. 39, RS2017 (2004).
[CrossRef]

Other (2)

F. D. M. Haldane and S. Raghu, "Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry," arXiv:cond-mat/0503588 (2008).

R. Petit, Ed., Electromagnetic theory of gratings (Springer, Berlin Heidelberg New York, 1980).

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Figures (12)

Fig. 1.
Fig. 1.

Three-layer grating with plasmonic insert, which is illuminated by a TM polarized plane wave.

Fig. 2.
Fig. 2.

Diffraction angle in degrees for the orders n=1, 2, and 3 at θ=0 − plot (a), and permittivity of the plasmonic insert at ωpL/c=4π and γ/ωp =0.01 − plot (b).

Fig. 3.
Fig. 3.

Transmittance (a,d), reflectance (b,e), and the geometry of grating within a period (c,f) in cases U (a)-(c) and L (d)-(f); A=0.8, B=0.2, C=D=0, ϕ 1=0 in U case, and A=1, B=0, C=D=0.2, ϕ 1=0 in L case; M 1=1, ε U=ε L=2.1, a/h=0.4, b/h=0.6, ωpL/c=4π, γ/ωp =0.01, and θ=0; solid line −n=0, dashed line − n = ±1, dash-dotted line − n = ±2 , dotted line (∑) − sum of all propagating orders; filled circles − k ±2 L and k ±3 L.

Fig. 4.
Fig. 4.

Transmittance (a,c), reflectance (d,e), and the geometry of grating within a period (c,f) in cases DU (a)–(c) and DL (d)–(f); A=0.8, B=0.2, C=D=0.0833, ϕ 1=0, ϕ 2=π, M 1=1, M 2=2 in DU case, and A=1-B, B=0.0833, C=D=0.2, ϕ 1= ϕ 2=0, M 1=2, M 2=1 in DL case; ε U=ε L=2.1, a/h=0.4, b/h=0.6, ωpL/c=4π, γ/ωp =0.01, and θ=0; solid line − n=0, dashed line − n =±1, dash-dotted line − n = ±2 , dotted line (∑) − sum of all propagating orders; filled circles show k ±2 L and k ±3 L.

Fig. 5.
Fig. 5.

Electric field pattern within a grating period at the parameters from Figs. 3(d), 3(e) – plot (a), from Figs. 4(d), 4(e) – plot (b), from Figs. 3(a), 3(b) – plots (c) and (d), and from Figs. 4(a) and 4(b) – plot (e); kL=16.45 in plots (a)–(c) and kL=16 in plots (d) and (e).

Fig. 6.
Fig. 6.

Reflectance in DL case at the same parameters and notations as in Fig. 4(e), except for a/h=0.55, b/h=0.75 – plot (a), and except for ωpL/c=5π – plot (b); and electric field pattern within a grating period at kL=16.25 and remaining parameters from plot (b) – plot (c).

Fig. 7.
Fig. 7.

Reflectance at the parameters from Fig. 3(e) except for θ=π/6 – plot (a), and at the parameters from Fig. 4(e) except θ=π/6 – plot (b); solid line – n=0, dashed line – n=−1, dash-dotted line – n=−2, thin solid line – n=−4, dotted line – sum of all propagating orders; filled circles − k -3 L and k -4 L.

Fig. 8.
Fig. 8.

Transmittance at the same parameters and notations as shown in Fig. 4(a), except for a/h=0.3, b/h=0.7, A=0.85, and B=0.15 – plot (a); reflectance at the same parameters and notations as in Fig. 4(d), except for a/h=0.3, b/h=0.7, and C=D=0.15 – plot (b); electric field pattern within a grating period at kL= 15.8 and the remaining parameters from plot (a) – plot (c), and at kL=16 and the remaining parameters from plot (b) – plot (d).

Fig. 9.
Fig. 9.

Transmittance (a,b) and reflectance (c) in cases U (a) and L (b,c) at A =0.7, B=0.1, C=0.2, D=0, ϕ 1=0 in U case, and A=0.8,B=0, C=0.3, D=0.1, ϕ 2=0 in L case; M 1=1, εUL=2.1, a/h=0.4, b/h=0.6, ωpL/c=4π, γ/ωp =0.01, and θ=0; solid line − n=0, dashed line − n = ±1, dash-dotted line − n = ±2, dotted line (∑) − sum of all propagating orders; filled circles − k ±2 L and k ±3 L.

Fig. 10.
Fig. 10.

Same as Fig. 9 but for a/h=0.3, b/h=0.1, and A=0.75 and B=0.05 in plot (a), and C=0.25 and D=0.05 in plots (c) and (d).

Fig. 11.
Fig. 11.

Transmittance and reflectance for the same parameters and notations as in Fig. 4, except for ε U=1 in plots (a) and (b), and ε L=1 in plots (d) and (e), and electric field pattern at kL=16 and the same remaining parameters as in plots (a), (b) – plot (c), and at kL=13.5 and the same remaining parameters as in plots (d), (e) – plot (f).

Fig. 12.
Fig. 12.

Second-order transmittance 12 for parameters from Figs. 3(a)–3(c), except for γ=0 –plot (a), and from Figs. 11(d)–11(f), except for γ=0 – plot (b); solid line – P=300 and Q=600, dashed line – P=200 and Q=400, and dash-dotted line – P=50 and Q=100; energy balance Ω is shown for all three sets of P and Q by dotted lines, the most upper line corresponds to P=50 and the lowest line does to P=300.

Equations (7)

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f1(x)/h=A+Bcos(2πxM1/L+ϕ1)andf2(x)/h=C+Dcos(2πxM2/L+ϕ2),
Ezxy=Ezixy +n=ρnexp(iαnx+iβny)
Ezxy=n=τnexp(iαnxiβny) ,
rn=ρn ρn* Re βn / W and tn=τn τn* Re βn / W ,
Re εi <1 and k±p / (Reεi)1/2 <k <k±(p+1) / (Reεi)1/2 ,
ωp/c<k<k±12+(ωp/c)2 .
ψ±1<sin1 [2π/(k±1L)2+(ωpL/c)2] .

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