Nonlinear wave interactions in modern photonics

One of the main factors impeding further progress in the field of application of met materials is significant energy losses due to the physical nature of exploited plasmon resonance, and their compensation is the most urgent problem to be addressed by the modern science of met materials. That is why this paper studies the parametric interaction of electromagnetic waves and, in particular, the process of generation and amplification of the second harmonic generation in met materials with the negative refractive index. It is found that the fundamental waves in the process of the second harmonic generation cannot exchange energy through the second harmonic wave at the non-collinear phase matching, and, thus, further consideration is required of optical rectification of the field in the nonlinear met materials

Hyperbolic metamaterials based on graphene sheets with different values of chemical potentials

In this paper possibility of creating a medium based on graphene-dielectric structures with the hyperbolic shape wave number dispersion is considered for the case when two types of graphene sheets with different chemical potentials periodically alternate. Using the Bloch theorem and the transfer matrix method, dispersion relations for the light wave numbers are derived for the layered structure and the possibility is demonstrated to manipulate the light propagation. The optical conductivity of graphene sheets is known to be frequency dependent and in the present scrutiny it is estimated via Kubo formula which simultaneously accounts for both the inter band and the intraband transitions of electrons. To apply the transfer matrix method we routinely express the amplitudes of the incident and reflected radiation at the input to the layered structure in terms of the amplitudes of electromagnetic waves at the output. The transmission spectrum of the layered dielectric medium which is sliced by two types of graphene sheets with different chemical potentials have a staircase behavior. It is demonstrated that the jump points in the transmission spectrum are simply controlled by adjusting the values of chemical potentials of graphene sheets

Electromagnetic Field Scattering on rf-SQUID Based Metasurfaces

Electromagnetic field scattering on a 2D array of rf-SQUIDs is considered. We show that the scattering changes for large amplitudes of the incident electromagnetic wave; above a critical amplitude, two different refraction states occur (bistability). In particular, for these two states, the transmitted wave polarization and angle of refraction are different. One could then switch the direction of propagation of the electromagnetic wave and its polarization with a “thin film”, whose thickness is much smaller than the wavelength

Electromagnetic Field Scattering on rf-SQUID Based Metasurfaces

Electromagnetic field scattering on a 2D array of rf-SQUIDs is considered. We show that the scattering changes for large amplitudes of the incident electromagnetic wave; above a critical amplitude, two different refraction states occur (bistability). In particular, for these two states, the transmitted wave polarization and angle of refraction are different. One could then switch the direction of propagation of the electromagnetic wave and its polarization with a “thin film”, whose thickness is much smaller than the wavelength