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93. K.C. Huang, M.L. Povinelli, J.D. Joannopoulos, Negative effective permeability in polaritonic
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94. D. Korobkin, Y. Urzhumov, G. Shvets, Enhanced near-field resolution in midinfrared using
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95. T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, R. Hillenbrand, Near-field microscopy
through a sic superlens. Science 313(5793), 1595 (2006)
96. J.A. Schuller, R. Zia, T. Taubner, M.L. Brongersma, Dielectric metamaterials based on electric
and magnetic resonances of silicon carbide particles. Phys. Rev. Lett. 99(10), 107401 (2007)
97. N. Kinsey, C. DeVault, J. Kim, M. Ferrera, V.M. Shalaev, A. Boltasseva, Epsilon-near-zero
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References
74. S. Foteinopoulou, Photonic crystals as metamaterials. Phys. B: Conden. Matter 407(20),
4056–4061 (2012)
75. T. Antonakakis, R.V. Craster, S. Guenneau, Asymptotics for metamaterials and photonic
crystals. Proc. R. Soc. A: Math. Phys. Eng. Sci. 469(2152), 20120533 (2013)
76. F. Dominec, C. Kadlec, H. Nˇ emec, P. Kužel, F. Kadlec, Transition between metamaterial
and photonic-crystal behavior in arrays of dielectric rods. Opt. express 22(25), 30492–30503
(2014)
77. M.V. Rybin, D.S. Filonov, K.B. Samusev, P.A. Belov, Y.S. Kivshar, M.F. Limonov, Phase
diagram for the transition from photonic crystals to dielectric metamaterials. Nat. Commun.
6(1), 1–6 (2015)
78. E.E. Maslova, M.F. Limonov, M.V. Rybin, Transition between a photonic crystal and a metamaterial with electric response in dielectric structures. JETP Lett. 109(5), 340–344 (2019)
79. A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, S. Anand, Negative refraction
at infrared wavelengths in a two-dimensional photonic crystal. Phys. Rev. Lett. 93(7), 073902
(2004)
80. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, C.M. Soukoulis, Negative refraction by
photonic crystals. Nature 423(6940), 604–605 (2003)
81. C. Luo, S.G. Johnson, J.D. Joannopoulos, J.B. Pendry, All-angle negative refraction without
negative effective index. Phys. Rev. B 65(20), 201104 (2002)
82. C. Luo, S.G. Johnson, J.D. Joannopoulos, All-angle negative refraction in a threedimensionally periodic photonic crystal. Appl. Phys. Lett. 81(13), 2352–2354 (2002)
83. M. Notomi, Negative refraction in photonic crystals. Opt. Quantum Electron. 34(1–3), 133–
143 (2002)
84. P.V. Parimi, W.T. Lu, P. Vodo, J. Sokoloff, J.S. Derov, S. Sridhar, Negative refraction and lefthanded electromagnetism in microwave photonic crystals. Phys. Rev. Lett. 92(12), 127401
(2004)
85. L.-G. Wang, Z.-G. Wang, J.-X. Zhang, S.-Y. Zhu, Realization of dirac point with double cones
in optics. Opt. Lett. 34(10), 1510–1512 (2009)
86. D.R. Smith, J.B. Pendry, Homogenization of metamaterials by field averaging. J. Opt. Soc.
Am. B 23(3), 391–402 (2006)
87. Z. Szabo, G.-H. Park, R. Hedge, E.-P. Li, A unique extraction of metamaterial parameters
based on kramers-kronig relationship. IEEE Trans. Microw. Theory Tech. 58(10), 2646–2653
(2010)
88. X. Chen, T.M. Grzegorczyk, B.-I. Wu, J. Pacheco Jr., J.A. Kong, Robust method to retrieve
the constitutive effective parameters of metamaterials. Phys. Rev. E 70(1), 016608 (2004)
89. R.A. Shelby, D.R. Smith, S. Schultz, Experimental verification of a negative index of refraction. Science 292(5514), 77–79 (2001)
90. A. Alu, M.G. Silveirinha, A. Salandrino, N. Engheta, Epsilon-near-zero metamaterials and
electromagnetic sources: tailoring the radiation phase pattern. Phys. Rev. B 75(15), 155410
(2007)
91. I. Liberal, N. Engheta, Near-zero refractive index photonics. Nat. Photon. 11(3), 149 (2017)
92. Y. Li, S. Kita, P. Muñoz, O. Reshef, D.I. Vulis, M. Yin, M. Lonˇ car, E. Mazur, On-chip zeroindex metamaterials. Nat. Photon. 9(11), 738 (2015)
93. K.C. Huang, M.L. Povinelli, J.D. Joannopoulos, Negative effective permeability in polaritonic
photonic crystals. Appl. Phys. Lett. 85(4), 543–545 (2004)
94. D. Korobkin, Y. Urzhumov, G. Shvets, Enhanced near-field resolution in midinfrared using
metamaterials. JOSA B 23(3), 468–478 (2006)
95. T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, R. Hillenbrand, Near-field microscopy
through a sic superlens. Science 313(5793), 1595 (2006)
96. J.A. Schuller, R. Zia, T. Taubner, M.L. Brongersma, Dielectric metamaterials based on electric
and magnetic resonances of silicon carbide particles. Phys. Rev. Lett. 99(10), 107401 (2007)
97. N. Kinsey, C. DeVault, J. Kim, M. Ferrera, V.M. Shalaev, A. Boltasseva, Epsilon-near-zero
al-doped zno for ultrafast switching at telecom wavelengths. Optica 2(7), 616–622 (2015)