The limits of validity of the linear photoelastic model are investigated in a one-dimensional dual photonic-phononic cavity, formed by alternating layers of a chalcogenide glass and a polymer homogeneous and isotropic material, which supports both optical and acoustic resonant modes localized in the same region. It is shown that the linear-response regime breaks down when either the acoustic excitation increases or the first-order acousto-optic interaction coupling element vanishes by symmetry, giving rise to the manifestation of multiphonon absorption and emission processes by a photon. Our results provide a consistent interpretation of different aspects of the underlying physics relating to nonlinear acousto-optic interactions that can occur in such cavities.

We present an extension of the layer-multiple-scattering method to photonic crystals of gyrotropic spheres in a homogeneous host medium. The efficiency of the method is demonstrated on specific examples of three-dimensional chiral structures and surfaces of crystals of plasma spheres in an external static uniform magnetic field that lack, simultaneously, time-reversal and space-inversion symmetries, and exhibit a nonreciprocal spectral response.

We show that a relatively sparse photonic crystal of high-permittivity magnetic garnet particles can induce a giant Faraday rotation of light transmitted through a finite slab of it. The underlying mechanism resides in wave propagation through collective Bloch modes, which are strongly localized in the particles.

We present an extended version of the layer-multiple-scattering method, which is ideally suited for the study of photonic crystals of different kinds of particles, encompassing homogeneous and multicoated chiral and nonchiral spheres, gyrotropic spheres, as well as homogeneous nonspherical particles. The efficiency of the method is demonstrated on specific examples of planar magnetoplasmonic nanostructures that lack, simultaneously, time-reversal and space-inversion symmetries. Nonreciprocal transport of light at the (001) surface of a semi-infinite face centered cubic (fcc) crystal of plasma nanospheres under the action of an external, in-plane, static magnetic field and of surface plasmon polaritons at the surface of a plasmonic material coated with an overlayer of magnetized garnet nanospheres is demonstrated in the Voigt geometry.

It is shown that a planar defect in the stacking sequence of an all-dielectric photonic crystal of garnet spheres supports localized optical guided modes, which originate from Mie resonances of the individual spheres. If the defect breaks space-inversion symmetry and the garnet particles are magnetized inplane, nonreciprocal and lossless transport of light on the defect plane, expected on the basis of group theory in the Voigt–Cotton–Mouton configuration, is demonstrated in ultrathin films of the defect crystal by means of full electrodynamic calculations using the layer-multiple-scattering method properly extended to photonic crystals of gyrotropic spheres.