M.I. Lyubchanskii

Magnetic photonic crystals

In this paper we outline a new direction in the area of photonic crystals (PCs), or photonic band gap materials, i.e. one-, two-, or three-dimensional superstructures with periods that are comparable with the wavelengths of electromagnetic radiation. The main (and principal) characteristic of this new class of PCs is the presence of magnetically ordered components (or external magnetic field). The linear and nonlinear optical properties of such magnetic PCs are discussed.

One-dimensional bigyrotropic magnetic photonic crystals

Electromagnetic wave propagation in a one-dimensional magnetic photonic crystal (MPC) made of bigyrotropic magnetic yttrium–iron garnet and nonmagnetic gadolinium–gallium garnet is theoretically investigated using the 4×4 transfer matrix method. Band gaps in the electromagnetic spectrum are numerically obtained and appear to depend on the helicity and direction of light propagation through the MPC.

Second-harmonic generation from realistic film-substrate interfaces: The effects of strain

The optical second-harmonic generation from a thin crystalline film on a substrate is theoretically investigated for both s and p polarized incident light. The contributions of lattice misfit strain as well as of misfit dislocation strain to the second-order nonlinear optical susceptibility are described using a nonlinear photoelastic tensor and can be separated by a polarization analysis of the scattered light at the second harmonic frequency. For the s(v)!s(2v) and p(v)!s(2v) scattering geometries, the nonlinear optical signal will be determined by dislocation strain only, whereas for the s(v)! p(2v) and p(v)! p(2v) geometries both lattice misfit strain and misfit dislocation strain will contribute.

Nonlinear magneto-optical diffraction from periodic domain structures in magnetic films

The nonlinear optical diffraction in magnetic films with a laminar domain structure and Bloch-type domain walls is investigated for both s and p polarization of incident light. It is shown that the contribution of magnetic domains and domain walls to the nonlinear diffraction can be separated by a polarization analysis of the scattered light.

Response of two-defect magnetic photonic crystals to oblique incidence of light: Effect of defect layer variation

The transmission characteristics of a two-defect magnetic photonic crystal (MPC) with respect to oblique incident light are investigated, both for circularly polarized as well as linearly polarized light. It is shown that the transmittivity and Faraday rotation angle are very sensitive to a change of light propagation direction inside the MPC. Possible applications of MPCs as Faraday rotators are discussed.

Influence of magnetic field on nonlinear magneto-optical diffraction on two-dimensional hexagonal magnetic bubble lattice

The nonlinear (at the second-harmonic frequency of the incident light) optical diffraction by a two-dimensional lattice of magnetic bubbles (cylindrical magnetic domains) is theoretically studied. Because the periods of these structures are comparable with the wavelengths of the fundamental and the second-harmonic radiation, diffraction at the second-harmonic frequency can be expected. We investigate the influence of an external magnetic field on the nonlinear magneto-optical diffraction.

Magnetic films with periodically striped domains as tunable photonic crystals

Photonic band gaps (PBGs) in periodic magnetic films with striped domains separated by Bloch-type domain walls are investigated. Calculations for yttrium iron garnet (YIG) films are performed using the transfer matrix method. The dependence of forbidden gaps in the electromagnetic wave spectrum on the thicknesses of magnetic domains is numerically studied.

Bigyrotropic photonic crystals

Electromagnetic wave propagation in a one-dimensional magnetic photonic crystal made of bigyrotropic magnetic yttrium-iron garnet and nonmagnetic gadolinium-gallium garnet is theoretically investigated using the 4×4 transfer matrix method for longitudinal magneto-optical configuration. Band gaps in the electromagnetic spectrum are numerically obtained and appear to depend on the helicity and direction of light propagation through the magnetic photonic crystal.

Photonic Band Gap Effects in Magnetic Film with Periodically Striped-Domain Structure

Photonic band gaps in magnetic films with periodically striped domains separated by Bloch-type domain walls are investigated. Calculations for yttrium iron garnet films are performed using the transfer matrix method. The dependence of forbidden gaps in the electromagnetic wave spectrum on the thicknesses of magnetic domains is numerically studied.

Hybrid magnetic waveguide and dielectric photonic crystal structure

We theoretically investigate the dispersion and polarization properties of the electromagnetic waves in a multi-layered structure composed of a magneto-optical waveguide on dielectric substrate covered by 1D dielectric photonic crystal. The numerical analysis of such a complex structure shows interesting properties in propagation of electromagnetic waves, particularly, polarization filtration of TE- and TM-modes depending on geometrical parameters of waveguide and photonic crystal.