Nikulin, Anton V.Filonov, DmitrySamusev, KirillRybin, Mikhail V.Limonov, Mikhail F.Kivshar, YuriMotygin, O. V.Kiselev, A. P.Goray, L. I.Suslina, T. A.Kazakov, A. Ya.Kirpi, A. S.2020-05-2119 June 209781538647967http://hdl.handle.net/1885/204532We study multiband metamaterials with several spectral band gaps associated with local Mie resonances, for the example of a square lattice of dielectric rods with dielectric permittivity ϵ = 70. We find that the band diagram possesses three Mieresonance gaps, all corresponding to negative effective magnetic permeability. By analysing the wave-propagation patterns, we demonstrate that this periodic structure can be homogenized only in the frequency range below the lowest Bragg-gap frequency. We study the predicted effects experimentally by measuring the transmission spectra at the microwaves and find an excellent agreement with theoretical results.We acknowledge a support from the Ministry of Education and Science of Russian Federation (Project No. 3.1500.2017/4.6), and the Australian Research Council.application/pdfen-AU© 2017 IEEE201710.1109/DD.2017.81680332019-12-19