Abstract

We investigate the Dyakonov-like surface wave (DLSW) at the interface of a dielectric and a metal-dielectric multilayered (MDM) structure when this MDM structure serves as an elliptic medium according to the effective medium approximation (EMA). Different from the conventional Dyakonov surface waves, we find that this kind of DLSW possesses an unexpected leaky property due to an additional hyperbolic-like wave in the MDM structure, resulting in a significant increase of propagation loss compared to the results estimated by a simple effective model based on the EMA. Moreover, such leaky property is found to be sensitive to the period of the MDM structure. Thus, to diminish this non-negligible leaky loss, one can suppress the amplitude of the leaky component by designing the MDM structure with a smaller period. On the other hand, as the MDM structure sometimes can also support an additional elliptic-like dispersion when it is regarded as a hyperbolic medium, we discuss this condition for completeness. Based on this elliptic-like dispersion, an apparent leaky property is observed in the resultant DLSW. This DLSW propagates with a wider range of propagation direction but suffers from a poor field confinement to the interface it is propagating along.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
  32. J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
    [Crossref]
  33. D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
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    [Crossref]

2017 (1)

2016 (2)

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

L. Sun, X. Yang, and J. Gao, “Analysis of nonlocal effective permittivity and permeability in symmetric metal-dielectric multilayer metamaterials,” J. Opt. 18, 065101 (2016).
[Crossref]

2015 (4)

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

F. Monticone and A. Alu, “Leaky-wave theory, techniques, and applications: from microwaves to visible frequencies,” Proc. IEEE 103, 793–821 (2015).
[Crossref]

E. Cojocaru, “Dyakonov hybrid surface waves at the isotropic-biaxial media interface,” J. Opt. Soc. Am. A 32, 782–789 (2015).
[Crossref]

2014 (2)

E. Cojocaru, “Comparative analysis of Dyakonov hybrid surface waves at dielectric-elliptic and dielectric-hyperbolic media interfaces,” J. Opt. Soc. Am. B 31, 2558–2564 (2014).
[Crossref]

O. Takayama, D. Artigas, and L. Torner, “Lossless directional guiding of light in dielectric nanosheets using Dyakonov surface waves,” Nat. Nanotechnol. 9, 419–424 (2014).
[Crossref] [PubMed]

2013 (2)

C. J. Zapata-Rodríguez, J. J. Miret, S. Vuković, and M. R. Belić, “Engineered surface waves in hyperbolic metamaterials,” Opt. Express 21, 19113–19127 (2013).
[Crossref] [PubMed]

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

2012 (1)

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

2011 (3)

X. B. Kang, W. Tan, and Z. G. Wang, “Validity of effective medium theory for metal-dielectric lamellar gratings,” Opt. Commun. 284, 4237–4242 (2011).
[Crossref]

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

2010 (1)

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

2009 (1)

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

2008 (1)

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

2007 (5)

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 013501 (2007).
[Crossref]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[Crossref]

2006 (2)

D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging (invited paper),” J. Opt. Soc. Am. B 23, 391–403 (2006).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[Crossref]

2005 (1)

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[Crossref] [PubMed]

2001 (1)

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

1998 (1)

1993 (1)

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

1990 (1)

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

1988 (1)

M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).

1977 (1)

1956 (1)

S. M. Rytov, “Electromagnetic properties of a finely stratified medium,” JETP 2, 466–475 (1956).

1951 (1)

Alu, A.

F. Monticone and A. Alu, “Leaky-wave theory, techniques, and applications: from microwaves to visible frequencies,” Proc. IEEE 103, 793–821 (2015).
[Crossref]

Ardakani, A. G.

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

Arsenin, A. V.

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

Artigas, D.

O. Takayama, D. Artigas, and L. Torner, “Lossless directional guiding of light in dielectric nanosheets using Dyakonov surface waves,” Nat. Nanotechnol. 9, 419–424 (2014).
[Crossref] [PubMed]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[Crossref] [PubMed]

Averkiev, N. S.

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

Avrutsky, I.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

Belic, M. R.

C. J. Zapata-Rodríguez, J. J. Miret, S. Vuković, and M. R. Belić, “Engineered surface waves in hyperbolic metamaterials,” Opt. Express 21, 19113–19127 (2013).
[Crossref] [PubMed]

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

Belov, P. A.

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

Birner, A.

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

Chan, C. T.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

Chang, H. C.

Chebykin, A. V.

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

Chulkov, E. V.

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

Cojocaru, E.

Crasovan, L.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

Crasovan, L. C.

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

Datta, S.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

DeVore, J. R.

Dyakonov, M. I.

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).

Echenique, P. M.

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

Elser, J.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

Fedyanin, D. Y.

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

Gao, J.

L. Sun, X. Yang, and J. Gao, “Analysis of nonlocal effective permittivity and permeability in symmetric metal-dielectric multilayer metamaterials,” J. Opt. 18, 065101 (2016).
[Crossref]

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

Gaylord, T. K.

Genereux, F.

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

Gladun, A. D.

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

Glytsis, E. N.

Gösele, U.

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

He, Q.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Ho, K. M.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

Hsiao, H. H.

Jaksic, Z.

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

Jia, M.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Johansen, S. K.

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

Kang, X. B.

X. B. Kang, W. Tan, and Z. G. Wang, “Validity of effective medium theory for metal-dielectric lamellar gratings,” Opt. Commun. 284, 4237–4242 (2011).
[Crossref]

Kivshar, Y. S.

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

Lakhtakia, A.

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 013501 (2007).
[Crossref]

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[Crossref]

Leiman, V. G.

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

Leonard, S. W.

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

Li, Z.

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

Luk, T. S.

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

Maier, S. A.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

Maslovski, S. I.

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

Mei, Y.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Mihalache, D.

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

Miret, J. J.

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

C. J. Zapata-Rodríguez, J. J. Miret, S. Vuković, and M. R. Belić, “Engineered surface waves in hyperbolic metamaterials,” Opt. Express 21, 19113–19127 (2013).
[Crossref] [PubMed]

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

Monticone, F.

F. Monticone and A. Alu, “Leaky-wave theory, techniques, and applications: from microwaves to visible frequencies,” Proc. IEEE 103, 793–821 (2015).
[Crossref]

Naserpour, M.

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

Nelatury, S. R.

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 013501 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[Crossref]

Orlov, A. A.

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

Pendry, J. B.

Pitarke, J. M.

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

Podolskiy, V. A.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

Polo, J. A.

S. R. Nelatury, J. A. Polo, and A. Lakhtakia, “Surface waves with simple exponential transverse decay at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 856–865 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface waves at a biaxial bicrystalline interface,” J. Opt. Soc. Am. A 24, 2974–2979 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 013501 (2007).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[Crossref]

Rytov, S. M.

S. M. Rytov, “Electromagnetic properties of a finely stratified medium,” JETP 2, 466–475 (1956).

Salakhutdinov, I.

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

Shih, P. K.

Silkin, V. M.

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

Smith, D. R.

Sorni, J. A.

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

Sorní, J. A.

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

Soukoulis, C. M.

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

Sun, L.

L. Sun, X. Yang, and J. Gao, “Analysis of nonlocal effective permittivity and permeability in symmetric metal-dielectric multilayer metamaterials,” J. Opt. 18, 065101 (2016).
[Crossref]

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

Sun, S.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Takayama, O.

O. Takayama, D. Artigas, and L. Torner, “Lossless directional guiding of light in dielectric nanosheets using Dyakonov surface waves,” Nat. Nanotechnol. 9, 419–424 (2014).
[Crossref] [PubMed]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

Tan, W.

X. B. Kang, W. Tan, and Z. G. Wang, “Validity of effective medium theory for metal-dielectric lamellar gratings,” Opt. Commun. 284, 4237–4242 (2011).
[Crossref]

Tang, S.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Torner, L.

O. Takayama, D. Artigas, and L. Torner, “Lossless directional guiding of light in dielectric nanosheets using Dyakonov surface waves,” Nat. Nanotechnol. 9, 419–424 (2014).
[Crossref] [PubMed]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[Crossref] [PubMed]

van Driel, H. M.

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

Voroshilov, P. M.

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

Vozianova, A. V.

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

Vukovic, S.

C. J. Zapata-Rodríguez, J. J. Miret, S. Vuković, and M. R. Belić, “Engineered surface waves in hyperbolic metamaterials,” Opt. Express 21, 19113–19127 (2013).
[Crossref] [PubMed]

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

Walker, D. B.

Wang, Z. G.

X. B. Kang, W. Tan, and Z. G. Wang, “Validity of effective medium theory for metal-dielectric lamellar gratings,” Opt. Commun. 284, 4237–4242 (2011).
[Crossref]

Yang, X.

L. Sun, X. Yang, and J. Gao, “Analysis of nonlocal effective permittivity and permeability in symmetric metal-dielectric multilayer metamaterials,” J. Opt. 18, 065101 (2016).
[Crossref]

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

Yariv, A.

Yeh, P.

Zapata-Rodríguez, C. J.

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

C. J. Zapata-Rodríguez, J. J. Miret, S. Vuković, and M. R. Belić, “Engineered surface waves in hyperbolic metamaterials,” Opt. Express 21, 19113–19127 (2013).
[Crossref] [PubMed]

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

Zhou, L.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Zhu, B.

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

Appl. Phys. Lett. (1)

J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett. 90, 191109 (2007).
[Crossref]

Electromagnetics (2)

O. Takayama, L. C. Crasovan, S. K. Johansen, D. Mihalache, D. Artigas, and L. Torner, “Dyakonov surface waves: A review,” Electromagnetics 28, 126–145 (2008).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Surface electromagnetic wave at a tilted uniaxial bicrystalline interface,” Electromagnetics 26, 629–642 (2006).
[Crossref]

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

C. J. Zapata-Rodríguez, J. J. Miret, J. A. Sorni, and S. Vuković, “Propagation of dyakonon wave-packets at the boundary of metallodielectric lattices,” IEEE J. Sel. Top. Quant. Electron. 19, 4601408 (2013).
[Crossref]

J. Nanophoton. (2)

J. J. Miret, C. J. Zapata-Rodríguez, Z. Jaksić, S. Vuković, and M. R. Belić, “Substantial enlargement of angular existence range for Dyakonov-like surface waves at semi-infinite metal-dielectric superlattice,” J. Nanophoton. 6, 063525 (2012).
[Crossref]

J. A. Polo, S. R. Nelatury, and A. Lakhtakia, “Propagation of surface waves at the planar interface of a columnar thin film and an isotropic substrate,” J. Nanophoton. 1, 013501 (2007).
[Crossref]

J. Opt. (2)

L. Sun, X. Yang, and J. Gao, “Analysis of nonlocal effective permittivity and permeability in symmetric metal-dielectric multilayer metamaterials,” J. Opt. 18, 065101 (2016).
[Crossref]

D. Y. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, “Backward waves in planar insulator-metal-insulator waveguide structures,” J. Opt. 12, 015002 (2010).
[Crossref]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (4)

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

JETP (1)

S. M. Rytov, “Electromagnetic properties of a finely stratified medium,” JETP 2, 466–475 (1956).

Nat. Nanotechnol. (1)

O. Takayama, D. Artigas, and L. Torner, “Lossless directional guiding of light in dielectric nanosheets using Dyakonov surface waves,” Nat. Nanotechnol. 9, 419–424 (2014).
[Crossref] [PubMed]

Opt. Commun. (1)

X. B. Kang, W. Tan, and Z. G. Wang, “Validity of effective medium theory for metal-dielectric lamellar gratings,” Opt. Commun. 284, 4237–4242 (2011).
[Crossref]

Opt. Express (2)

Opt. Spectrosc. (1)

N. S. Averkiev and M. I. Dyakonov, “Electromagnetic waves localized at the interface of transparent anisotropic media,” Opt. Spectrosc. 68, 653–655 (1990).

Photon Nanostruct: Fundam. Appl. (1)

J. J. Miret, J. A. Sorní, M. Naserpour, A. G. Ardakani, and C. J. Zapata-Rodríguez, “Nonlocal dispersion anomalies of Dyakonov-like surface waves at hyperbolic media interfaces,” Photon Nanostruct: Fundam. Appl. 18, 16–22 (2016).
[Crossref]

Phys. Rev. B (6)

S. Tang, B. Zhu, M. Jia, Q. He, S. Sun, Y. Mei, and L. Zhou, “Effective-medium theory for one-dimensional gratings,” Phys. Rev. B 91, 174201 (2015).
[Crossref]

L. Sun, Z. Li, T. S. Luk, X. Yang, and J. Gao, “Nonlocal effective medium analysis in symmetric metal-dielectric multilayer metamaterials,” Phys. Rev. B 91, 195147 (2015).
[Crossref]

A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B 84, 115438 (2011).
[Crossref]

A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B 84, 045424 (2011).
[Crossref]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).
[Crossref]

F. Genereux, S. W. Leonard, H. M. van Driel, A. Birner, and U. Gösele, “Large birefringence in two-dimensional silicon photonic crystals,” Phys. Rev. B 63, 161101 (2001).
[Crossref]

Phys. Rev. Lett. (2)

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[Crossref] [PubMed]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903 (2009).
[Crossref] [PubMed]

Proc. IEEE (1)

F. Monticone and A. Alu, “Leaky-wave theory, techniques, and applications: from microwaves to visible frequencies,” Proc. IEEE 103, 793–821 (2015).
[Crossref]

Rep. Prog. Phys. (1)

J. M. Pitarke, V. M. Silkin, E. V. Chulkov, and P. M. Echenique, “Theory of surface plasmons and surface-plasmon polaritons,” Rep. Prog. Phys. 70, 1 (2007).
[Crossref]

Sov. Phys. JETP (1)

M. I. Dyakonov, “New type of electromagnetic wave propagating at an interface,” Sov. Phys. JETP 67, 714–716 (1988).

Other (1)

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

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Figures (11)

Fig. 1
Fig. 1 (a) Schematic of the semi-infinite MDM surface. (b) Schematic of the MDM structure. (c) Index ellipsoid of the effective medium for the structure (b).
Fig. 2
Fig. 2 Characteristics of the waves propagating along the z direction in the Ag/SiO2 MDM structure with p = 18 nm and the EMA. (a) Dispersions when the metallic loss is absent (ν = 0) for which Nz is real. (b) Im [Nz] versus λ for ν, 0, representing the propagation loss along the z direction. The inset of (a) displays the dispersions of the IMI waveguide for comparison.
Fig. 3
Fig. 3 Mode-field profiles of the HO-waves propagating along the z direction in the Ag/SiO2 MDM structure with p = 18 nm at (a) λ = 250 nm and (b) λ = 400 nm. The fields are shown in a period of the MDM structure.
Fig. 4
Fig. 4 Isofrequency contours of the Ag/SiO2 MDM structure. (a) λ = 250 nm. (b) λ = 400 nm.
Fig. 5
Fig. 5 Characteristics of the DLSW propagating at the interface between SiO2 and the Ag/SiO2 MDM structure, i.e., xz-plane, with p = 18 nm at λ = 250 nm. The results are obtained from the rigorous FEM and the effective model. (a) Isofrequency contours, where the abscissa refers to Re[kz]/k0 for the DLSW or Re[kyz]/k0 for waves in the SiO2 and in the MDM structure. (b) Losses relative to θ.
Fig. 6
Fig. 6 Rigorously-calculated magnetic mode-field profiles of the DLSWs with p = 18 nm at λ = 250 nm and θ = 40°. (a) Real structure (ν ≠ 0). (b) Ignoring the metallic absorption (ν = 0). The red frame indicates the region where the field is close to include only the leaky constituent.
Fig. 7
Fig. 7 (a) |Hz| and Re[Hz] profiles at the center of the metal layer (x = 0) in Fig. 6(b). The corresponding Re[Hz] from the effective model is displayed for comparison. (b) |Hz| profile in (a) compared to the corresponding results with p = 9 nm and 36 nm.
Fig. 8
Fig. 8 Losses of the DLSWs relative to θ by different methods for p = 9, 18, and 36 nm at λ = 250 nm.
Fig. 9
Fig. 9 Magnetic mode-field profiles of the DLSW ignoring the metallic absorption with p = 36 nm at λ = 400 nm and θ = 40°.
Fig. 10
Fig. 10 Characteristics of the Ag/TiO2 MDM structure with different p’s at λ = 800 nm. (a) Isofrequency contours. (b) The losses of the hyperbolic-like waves (e-waves) relative to θ. For comparison, the inset shows the losses of the hyperbolic-like waves (HO-waves) for the Ag/SiO2 MDM structure in Section 2.
Fig. 11
Fig. 11 The DLSW at the interface between air and the Ag/TiO2 MDM structure with p = 140 nm at λ = 800 nm. (a) Isofrequency contours, where the abscissa refers to Re[kz]/k0 for the DLSW or Re[kyz]/k0 for waves in the air and in the MDM structure. The inset shows the losses of the DLSW. (b) Magnetic mode-field profiles at the point A in (a).

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