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The one dimensional dielectric-magnetic photonic crystals (PCs) are materials with periodically varying permittivity and periodically varying permeability along the same direction. These PCs offer more degrees of freedom in designing photonic crystals. Most dielectric-magnetic PCs are fabricated with only two layers in each repeating unit cell. However, more than two layers in each periods are phenomenologically richer. This article presents the generalized formulation for the computation of Bloch wavenumbers and photonic bands of multilayered dielectric-magnetic PC based on the transfer matrix method. The formulation is valid for the lossy and lossless constituent materials. The numerical results for a dielectric only, magnetic only, and a dielectric-magnetic PC are also presented and discussed for the axial as well as oblique propagation. [ABSTRACT FROM AUTHOR]

This paper presents the wave propagation in a tunable phononic crystal consisting of a porous hyperelastic magnetorheological elastomer (MRE) subjected to an external magnetic field. Finite deformations and magnetic induction influence phononic characteristics of the periodic structure through altering the geometry and material properties of the unit cell. The governing equations for incremental time-harmonic plane wave motions superimposed on a static predeformed media are derived. Analytical and finite element (FE) methods are used to investigate dispersion relation and band structure of the phononic crystal for different levels of deformation and applied magnetic induction. It is demonstrated that large deformations and magnetic induction could transform the location and width of band-gaps. [ABSTRACT FROM AUTHOR]