Abstract
Tunable transmission characteristics of electromagnetic waves in periodically layered metamaterials (PLMMs), constructed by alternating dielectric layer and gyromagnetic layer such as yttrium-iron-garnet (YIG), are investigated through an external magnetic field. Based on transfer matrix method (TMM) and effective medium theory (EMT), we compare the dispersion curves of TE waves propagating in the PLMMs, and obtain the effective permeability and permittivity tensors of the homogenized gyromagnetic PLMMs by expanding the exact dispersion relation in long-wavelength limit. Then, we calculate some propagating parameters when TE waves incident on the PLMMs by EMT in detail. Numerical results show that the refraction state of TE waves in the PLMMs can be dynamically changed between positive refraction state and cutoff state by controlling the external magnetic field. These exotic properties of gyromagnetic PLMMs may have wide potential applications in many fields such as sub-wavelength all-optical switches and wave cutoff devices.
Similar content being viewed by others
References
Tumkur T, Zhu G, Black P, Barnakov YA (2011) Control of spontaneous emission in a volume of functionalized hyperbolic metamaterial. Appl Phys Lett 99(15):151115
Iorsh I, Poddubny A, Orlov A, Belov P, Kivshar YS (2012) Spontaneous emission enhancement in metal-dielectric metamaterials. Phys Lett A 376(3):185–187
Silveirinha MG, Belov PA, Simovski CR (2007) Subwavelength imaging at infrared frequencies using an array of metallic nanorods. Phys Rev B 75(3):035108
Chebykin AV, Orlov AA, Vozianova AV, Maslovski SI, Kivshar YS, Belov PA (2011) Nonlocal effective medium model for multilayered metal-dielectric metamaterials. Phys Rev B 84(11): 115438
Chern RL (2013) Spatial dispersion and nonlocal effective permittivity for periodic layered metamaterials. Opt Express 21(14): 16514–16527
Orlov AA, Voroshilov PM, Belov PA, Kivshar YS (2011) Engineered optical nonlocality in nanostructured metamaterials. Phys Rev B 84(4):045424
Han D, Chern RL (2014) Nonlocal optical properties in periodic lattice of graphene layers. Opt Express 22(4):4817–4829
Alù A, Argyropoulos C, Monticone F, Estakhri NM (2013) Negative refraction, gain and nonlinear effects in hyperbolic metamaterials. Opt Express 21(12):15037–15047
Li T, Liu H, Wang FM, Dong ZG, Zhu SN, Zhang X (2006) Coupling effect of magnetic polariton in perforated metal/dielectric layered metamaterials and its influence on nega- tive refraction transmission. Opt Express 14(23):11155–11163
Rakhmanov AL, Yampol’Skii VA, Fan JA, Capasso F, Nori F (2010) Layered superconductors as negative-refractive-index metamaterials. Phys Rev B 81(7):075101
Scalora M, Mattiucci N, D’Aguanno G, Larciprete M, Bloemer MJ (2006) Nonlinear pulse propagation in one-dimensional metal-dielectric multilayer stacks: ultrawide bandwidth optical limiting. Phys Rev E 73(1):016603
Poddubny A, Iorsh I, Belov P, Kivshar Y (2013) Hyperbolic metamaterials. Nat Photonics 7(12):948
Kim J, Drachev VP, Jacob Z, Naik GV, Boltasseva A, Narimanov EE, Shalaev VM (2012) Improving the radiative decay rate for dye molecules with hyperbolic metamaterials. Opt Express 20(7):8100–8116
Yang X, Yao J, Rho J, Yin X, Zhang X (2012) Experimental realization of three-dimensional indefinite cavities at the nanoscale with anomalous scaling laws. Nat Photonics 6(7):450
Savelev RS, Shadrivov IV, Belov PA, Rosanov NN, Fedorov SV, Sukhorukov AA, Kivshar YS (2013) Loss compensation in metal-dielectric layered metamaterials. Phys Rev B 87(11):115139
Tumkur TU, Gu L, Kitur JK, Narimanov EE, Noginov MA (2012) Control of absorption with hyperbolic metamaterials. Appl Phys Lett 100(16):161103
Rho J, Ye Z, Xiong Y, Yin X, Liu Z, Choi H, Bartal G, Zhang X (2010) Spherical hyperlens for two-dimensional sub-diffractional imaging at visible frequencies. Nat Commun 1(9):143
Ferrari L, Wu C, Lepage D, Zhang X, Liu Z (2015) Hyperbolic metamaterials and their applications. Prog Quant Eletron 40:1–40
Li W, Liu Z, Zhang X, Jiang X (2012) Switchable hyperbolic metamaterials with magnetic control. Appl Phys Lett 100(16):161108
Boltasseva A, Atwater HA (2011) Low-loss plasmonic metamaterials. Science 331(6015):290–291
Liu S, Du J, Lin Z, Wu R, Chui ST (2008) Formation of robust and completely tunable resonant photonic band gaps. Phys Rev B 78(15):155101
Wang Z, Chong YD, Joannopoulos JD, Soljaić M (2007) Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys Rev Lett 100(1):013905
Pozar DM (2009) Microwave engineering[M]. Wiley
Das J, Song YY, Mo N, Krivosik P, Patton CE (2010) Electric-field-tunable low loss multiferroic ferrimagnetic-ferroelectric heterostructures. Adv Mater 21(20):2045–2049
Chern RL, Han D, Zhang ZQ, Chan CT (2014) Additional waves in the graphene layered medium. Opt Express 22(26):31677–31690
Born M, Wolf E (2013) Principles of optics: electromagnetic theory of propagation, interference and diffraction of light[M]. Elsevier
Funding
This work was supported by the Natural Science Foundation of Guangdong Province, China (2016A030313439, 2018A030313480), by GDUPS (2017), and by Key Program for Guangdong NSF of China (2017B030311003), and by the Science and Technology Program of Guangzhou City, China (201707010403).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yan, X., Wang, G. & Deng, D. Engineering Electromagnetic Wave Propagation in Periodically Layered Gyromagnetic Metamaterials with an External Magnetic Field. Plasmonics 14, 1243–1251 (2019). https://doi.org/10.1007/s11468-019-00913-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11468-019-00913-0