Abstract:
Manmade media (MMMs) consisting of uniaxial photonic crystals with inserts of layers (films) or cylinders embedded in a periodic way into a dielectric substrate with dielectric permeability (DP) are considered. Approximate model-based and accurate electrodynamic methods for describing such MMMs, which are referred to in the case of metal (conductive) or ferrite (metaatom) inserts as a ‘hyperbolic metamaterial’ (HMM), are analyzed. Homogenization methods, the role of dissipation, spatial dispersion (SD), and slow plasmon-polaritons are reviewed. The feasibility of obtaining the hyperbolic dispersion law in a macroscopic description of DP of inserts using the Drude–Lorentz model is studied. In the general case with dissipation and SD, the surface of the Fresnel-equation isofrequencies is shown to differ from a rotation hyperboloid and to be bounded. The ambiguity of a description based on effective material parameters, the effect of dissipation and SD on hyperbolicity, currently observable and possible physical phenomena, and HMM applications are discussed.
This study was supported by the Ministry of Education and Science of Russia within the Project Part of the State Assignment in the field of research activity no. 3.1155.2014/K and the Russian Science Foundation (project no. 16-19-10033).
Received:April 19, 2018 Revised:December 20, 2018 Accepted: August 13, 2019
This publication is cited in the following 27 articles:
Guangshen Li, Zhihao Sun, Zihao Guo, Peng Wang, Benli Du, Shaoyao Tian, Han Ding, Yu Qiu, Jingyu Bi, Lei Qian, “Dynamic modulation of permittivity properties via compression of carbon nanotube-impregnated cotton for wide epsilon-near-zero bandwidth”, Adv Compos Hybrid Mater, 7:3 (2024)
M. V. Davidovich, “Resonant Tunneling of Photons in Layered Optical Nanostructures (Metamaterials)”, Tech. Phys., 69:6 (2024), 1521
Mai Medhat, Cherstina Malek, Mehdi Tlija, Mostafa R. Abukhadra, Stefano Bellucci, Hussein A. Elsayed, Ahmed Mehaney, “One-Dimensional Photonic Crystals Comprising Two Different Types of Metamaterials for the Simple Detection of Fat Concentrations in Milk Samples”, Nanomaterials, 14:21 (2024), 1734
A. V. Lobanov, “Chislennaya optimizatsiya v zadachakh dizaina mnogosloinykh obolochek, sostoyaschikh iz giperbolicheskikh metamaterialov”, Dalnevost. matem. zhurn., 24:2 (2024), 220–234
B. L. Krit, N. V. Morozova, S. Ya. Betsofen, Wu Ruizhi, V. M. Medvetskova, Ya. V. Dolgushin, T. Yu. Mogilnaya, “Photocatalytic Activity of a Coating Synthesized in Electrolytic Plasma on the Surface of Ultralight Magnesium Alloy”, Surf. Engin. Appl.Electrochem., 60:6 (2024), 831
V. V. Klimov, “Optical nanoresonators”, Phys. Usp., 66:3 (2023), 263–287
Yaoxian Zheng, Fahim Khan, B. Asrafali, Qiong Wang, “Photonic crystal waveguides composed of hyperbolic metamaterials for high-fom nano-sensing”, Crystals, 13:9 (2023), 1389
A. Moradi, “Hyperbolic metamaterials”, Theory of Electrostatic Waves in Hyperbolic Metamaterials, Springer Series in Optical Sciences, 245, Springer, Cham, 2023, 1–37
M. Durach, “Electromagnetic scattering by bianisotropic spheres”, Applied Sciences, 13:8 (2023), 5169
Muhammad, C. W. Lim, “From photonic crystals to seismic metamaterials: a review via phononic crystals and acoustic metamaterials”, Arch. Comput. Method Eng., 29:2 (2022), 1137–1198
N. V. Selina, “Light diffraction in a plane-parallel layered structure with the parameters of a Pendry lens”, Phys. Usp., 65:4 (2022), 406–414
T. G. Mackay, A. Lakhtakia, “Toward morphologically induced anisotropy in thermally hysteretic dielectric properties of vanadium dioxide”, AIP Advances, 12:10 (2022), 105026
Yaoxian Zheng, Qiong Wang, Mi Lin, Luigi Bibbò, Zhengbiao Ouyang, “Twisted bands with degenerate points of photonic hypercrystals in infrared region”, Nanomaterials, 12:12 (2022), 1985
S. A. Dvinin, O. A. Sinkevich, D. K. Solikhov, Z. A. Kodirzoda, “On the spectra of natural waves in a plasma waveguide in the presence of collisions”, Plasma Phys. Rep., 48:4 (2022), 438
M. V. Davidovich, “Plazmon-polyaritony Dyakonova vdol giperbolicheskogo metamateriala”, Kompyuternaya optika, 45:1 (2021), 48–57
Yu. N. Eroshenko, “Physics news on the Internet (based on electronic preprints)”, Phys. Usp., 64:8 (2021), 858–859
V. V. Klimov, “Control of the emission of elementary quantum systems using metamaterials and nanometaparticles”, Phys. Usp., 64:10 (2021), 990–1020
M. V. Davidovich, “Can isotropic negative permittivity ϵ and permeability μ metamaterials exist?”, J. Exp. Theor. Phys., 132:2 (2021), 159–176
Andrey N. Volobuev, Tatyana A. Antipova, Kaira A. Adyshirin-Zade, “Interaction of electromagnetic wave and metamaterial with inductive type chiral inclusions”, PWPRS, 24:2 (2021), 22
Citation in format AMSBIB
Contact us: