We show that it is possible to effectively control the polarization state of the reflected electromagnetic wave (phase difference, polarization rotation angle and ellipticity) from a 1D photonic crystal, located on dielectric and semiconductor substrates by varying several system parameters: magnetic field, thicknesses of the layers, physical parameters of materials which form the structure, and material of the substrate. The substrates have both isotropic and anisotropic symmetry. We use the transformation matrix method for theoretical investigations. We concentrate particular attention on the resonance areas. Systems under consideration can be employed, for example, as polarizers, splitters, and so on.

Current paper deals with attacking problem of surface THz electromagnetic wave propagation in periodic stratified structures with excitons. We have considered dispersion properties of electromagnetic waves for both infinite and finite periodic structures. We have also analyzed the possible presence of surface electromagnetic waves propagation along the surface of the finite periodic sample in those areas where bulk waves do not. Using the complex Poynting theorem showed that considered surface waves can independently or simultaneously exist on each structure surface. The findings allow analyzing features of the surface to which a periodic sample is attached. This makes it possible to study the quality of thin films on the surface of solids, biological materials, etc.

In this paper the electromagnetic waves propagation in a photonic crystal with an embedded inclusion of subwavelength ferrite-semiconductor periodic structure to form the defect region are investigated. The system is placed into an external magnetic field applied along layers interfaces. The numerical and analytical results by transfer matrix method (TMM) show that, for the proposed PC with appropriate parameters the effective control of the polarization state of the reflected and transmitted electromagnetic wave (phase difference, polarization rotation angle and ellipticity) is possible by varying several system parameters: magnetic field, thicknesses of the layers, physical parameters of materials which form the PC and metamaterial. These properties may result in the design of improved PC devices, like polarizer's, splitter's, and so on.

The problem of the surface electromagnetic waves localized at the interface between vacuum and fine-stratified periodic semiconductor-dielectric structure in an external magnetic field is studied. Such a structure is defined as a biaxial crystal with effective components of permittivity which depend both on physical parameters of the structure and on geometrical parameters. The dispersion equation is derived for the system under consideration. It has been shown, that surface polaritons in such structures exist above and below the plasma frequency. Besides, owing to the specificity of the fine-stratified structure, the regions of existence of surface waves can be divided by convention into areas of strong and weak anisotropy. The characteristic frequencies and the magnitudes of external magnetic fields, at which there is a significant change in the characteristics of surface polaritons, are derived. The possibility for effective controlling the frequencies of the surface states by means of the external magnetic field, the thickness of the layers and the period of the structure has been shown.

Slow electromagnetic waves find numerous applications in a wide frequency range of the electromagnetic spectrum, from RF to the optical range. Now, surface plasmon polaritons studies are under way in thin semiconductor layers for active plasmonic circuits at THz frequencies [1]. Our work shows that the surface waves in periodic magnetoactive dielectric-semiconductor structure may have slowdown rate about 103. A study of some other properties of this wave at submillimeter wavelengths was also made.

We solve the problem of surface electromagnetic waves (SEW) propagation in layered periodic structures, which contain layers with excitons, near the exciton bands in the terahertz wavelength range. The dispersion properties of electromagnetic waves for infinite and for bounded periodic structures are considered. We study the possibility of existence of SEW that can propagate along the surfaces of the bounded periodic pattern in areas forbidden for the propagation of electromagnetic waves. With the help of complex Poynting theorem it is shown that the considered SEW can exist independently or simultaneously on each surface of the structure. Obtained results make it possible to analyze the features of the surface, attached to a periodic pattern. This allows studying the quality of thin films on solid surfaces, the surfaces of biological materials, etc.

The properties of terahertz surface waves (SW's) in the finite semiconductor-dielectric periodic structure in an external magnetic field were investigated. The band structure of the considered periodic material was analyzed (Fig. 1). Analytical and numerical calculations of the dispersion relation for SW's were carried out. The distribution of electromagnetic field and the energy flow of SW's were studied. We also analyzed the properties of SW's in the considered structure in the subwavelength approximation (effective medium approximation).

In the present paper we considered electromagnetic surface waves (SW), which localised at the interface of finite periodic metamaterial, that consists of alternate semiconductor and dielectric layers. The structure was placed into an external magnetic field. It has been shown that it is possible to effectively control the parameters of SW (namely penetration depth, phase velocity, mean free path) in the considered structure by the means of magnetic field, thicknesses of the layers and physical parameters of materials which form the metamaterial.

The specific features of TM-polarized surface electromagnetic waves in a finite structure fabricated by a periodic alternating semiconductor and dielectric layers are investigated. Dispersion characteristics of eigenwaves are analyzed numerically and analytically. The complex Poynting energy flux and the surface wave's distribution are calculated. The influence of geometrical and physical parameters of the structure on the properties of surface waves is studied.

The propagation of electromagnetic waves along the optical axes of a thin-layer periodic semiconductor-dielectric structure in an external magnetic field (i.e., under conditions of external and internal conical refraction) has been investigated. It is shown that the conditions for conical refraction can be implemented in certain regions by changing the external magnetic field, wave frequency, and thickness of the layers forming the structure. By varying the above-mentioned characteristics, one can efficiently control the conical refraction parameters; in particular, the opening angles of the cone of internal and external conical refraction and the inclination of the optical axes with respect to the periodicity axis can be varied in a wide range. The results of this study may be useful for designing millimeter-wave, submillimeter-wave, and IR devices.

The conditions for the existence of surface electromagnetic waves at the planar interface between a homogeneous medium (vacuum) and a thin-layer periodic structure consisting of alternating semiconductor and dielectric layers in an external magnetic field have been investigated. This structure represents an optically biaxial crystal with the effective permittivity tensor components dependent both on the geometric parameters of the structure and on the physical characteristics (magnetic field strength, frequency, and thicknesses of the layers). It has been shown that the propagation of surface electromagnetic waves localized near the interface can occur in the thin-layer biaxial structure within specific ranges of frequencies and external magnetic field strengths.

Propagation of electromagnetic waves in a structure formed by periodically alternating semiconductor and dielectric layers is studied for the case where an external magnetic field is applied parallel to the boundaries of the layers. The expressions for effective permittivity were obtained in the long-wave limit. It was shown that, investigated structure represents a biaxial crystal. The dependence of transmission spectra of electromagnetic waves that propagate through a fine-stratified periodic structure on the external magnetic field, frequency and thicknesses of the layers was examined theoretically.

Electromagnetic wave polarization is analyzed in the case of reflection from a thin-stratified semiconductor-dielectric periodic structure situated on a metal substrate in an external magnetic field. It is shown that the polarization ellipse parameters, specifically, the length and angle of inclination of the ellipse axes with respect to the coordinate frame axes are dependent on the magnetic field strength and frequency and angle of electromagnetic wave incidence. Owing to specific properties of the permittivity tensor of the thin layered structure a number of peculiarities appear in the dependences of the phase difference on the structure parameters. The results obtained with allowance made for losses in the semiconductor material are characterized by smoother dependences and show no sharp changes in the polarization characteristics as the external magnetic field and/or electromagnetic wave frequency are changed

Conical refraction phenomenon in a fine-stratified structure was studied. The structure was fabricated by periodic alternating dielectric and semiconductor layers and was exposed into an external magnetic field parallel to the boundaries of the layers and perpendicular to the plane of incidence. The expressions for effective permittivity were obtained. It has been shown that such structure represents a biaxial crystal. The dependences of aperture angles of an external and internal conical refraction cone as function of frequency, external magnetic field and thickness of layers were analysed.

The features of the transmission spectra of the structure fabricating by periodic alternating ferrite and dielectric layers bounded by the semiconductor layers are theoretically investigated. The transmission peak in the frequency range where the forbidden zone of periodic structure and region of the negative semiconductor layer permittivity overlap was founded. The possibility of the full transmission in the considered frequency region was demonstrated.

Specific features shown by zonal spectra of a periodic structure with magnetoactive semiconductor layers in the vicinity of its characteristic frequencies in the submillimeter wavelength range are investigated theoretically. The analysis technique is presented. It is shown that the surface wave phase velocity in a thin-layer periodic structure with a transverse configuration of the external magnetic field can assume magnitudes comparable with the drift velocity of charge carriers in the semiconductor. Thus, the slowing factor for waves in a periodic structure with nano-layers made of celsian ceramics and n-InSb exceeds 103 at the temperature of liquid nitrogen and magnetic fields 0.25 to 1 T. Physically, the wave slowdown effect is associated with the existence of a transmission zone at lower frequencies which allows moving over the dispersion curve into the range of great magnitudes of the wavenumber for small periods of the thin-layer periodic structure.

Conical refraction phenomenon in a fine-stratified structure was investigated. The structure was fabricated by periodic alternating dielectric and semiconductor layers and was exposed into an external magnetic field. It has been shown that such structure represents a biaxial crystal. The dependences of aperture angle of an internal conical refraction cone as function of frequency, external magnetic fields and thickness of layers are analysed.

Features of the transmission spectra of the structure fabricating by periodic alternating ferrite and dielectric layers with defect semiconductor layers are investigated. The transmission peak in the frequency range where the forbidden zone of periodic structure and region of negative semiconductor layer permittivity overlap was founded. The possibility of full transmission in the considered frequency region was demonstrated.

Reflection and transmission of light by a bounded periodically layered structure formed by periodically repeated dielectric and semiconductor layers in a magnetic field are studied. The period of the structure is assumed to be much shorter than the wavelength. The magnetic field vector is parallel to the layer plane, and the wave propagation direction is perpendicular to the magnetic field. Passage to the limit of the thin-layer structure is performed. It is shown that the structure in this case is a biaxial crystal. The properties of the reflection and transmission coefficients are studied.

In this paper we can conclude that dependences on a angle of incidence, frequency and external magnetic field allow to determine presence of allowed and forbidden zones, and also to analyze properties of the layers forming structure. Besides, change of a magnetic field allows "to operate" by the optical properties of the structure.