Abstract
The feasibility of dielectric structures possessing metamaterial properties owing to electric Mie resonances is theoretically demonstrated. The structures are formed by homogeneous dielectric cylinders occupying the sites of a simple hexagonal or square lattice. The (normalized cylinder radius, dielectric constant) phase diagram is constructed and demonstrates a region where the effective dielectric constant εeff of the metamaterial is close to zero. The simulation of the propagation of a Gaussian beam through a prism made of this metamaterial shows that the vanishingly small value of εeff is insensitive to the orientation of the crystal axes.
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References
J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, 2008).
K. Sakoda, Optical Properties of Photonic Crystals (Springer Science, Berlin, 2004), Vol. 80.
A. K. Sarychev and V. M. Shalaev, Electrodynamics of Metamaterials (Nauchnyi Mir, Moscow, 2011).
Electromagnetic Metamaterials: Physics and Engineering Exploration, Ed. by N. Enghata and R. Ziolkowski (Wiley-IEEE, New York, 2006).
V. G. Veselago, Sov. Phys. Usp. 10, 509 (1967).
U. Leonhardt, Science (Washington, DC, U. S.) 312, 1777 (2006).
P.-Y. Chen, J Soric, and A. Alù, Adv. Mater. 24, OP281 (2012).
Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, Science (Washington, DC, U. S.) 315, 1686 (2007).
S. O’Brien and J. B. Pendry, J. Phys.: Condens. Matter 14, 4035 (2002).
R. C. McPhedran, I. V. Shadrivov, B. T. Kuhlmey, and Y. S. Kivshar, NPG Asia Mater. 3, 100 (2011).
S. Kruk and Y. Kivshar, ACS Photon. 4, 2638 (2017).
M. V. Rybin, D. S. Filonov, K. B. Samusev, P. A. Belov, Y. S. Kivshar, Yu. S. Kivshar, and M. F. Limonov, Nat. Commun. 6, 10102 (2015).
J. A. Schuller, R. Zia, T. Taubner, and M. L. Brongersma, Phys. Rev. Lett. 99, 107401 (2007).
I. Liberal and N. Engheta, Nat. Photon. 11, 149 (2017).
S. V. Li, Y. S. Kivshar, and M. V. Rybin, ACS Photon. (2018).
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-VCH, New York, 1998).
N. Kaina, F. Lemoult, M. Fink, and G. Lerosey, Nature (London, U.K.) 525, 77 (2015).
K. R. Simovskii, Opt. Spectrosc. 107, 726 (2009).
E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science Int., Oxford, 2005).
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Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 109, No. 5, pp. 347–352.
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Maslova, E.E., Limonov, M.F. & Rybin, M.V. Transition between a Photonic Crystal and a Metamaterial with Electric Response in Dielectric Structures. Jetp Lett. 109, 340–344 (2019). https://doi.org/10.1134/S0021364019050114
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DOI: https://doi.org/10.1134/S0021364019050114