Generalized Analytical Solutions for Nonlinear Positive-Negative Index Couplers

We find and analyze a generalized analytical solution for nonlinear wave propagation in waveguide couplers with opposite signs of the linear refractive index, nonzero phase mismatch between the channels, and arbitrary nonlinear coefficients

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

FDTD modeling of the second harmonic generation in transition metamaterials

On the basis of the classical Maxwell's equations the corresponding wave equations are derived for description of multiwave interactions in transition metamaterials whose refractive index varies along the sample from positive to negative values. The phenomenon of second harmonic generation is redicted in the transition layer near the point at which the refractive index turns zero, even at low intensities of the fundamental pumping wave. With the help of FDTD (finite difference time domain) mathematical modeling method it is found that the efficiency of the second harmonic generation in transition metamaterials strongly depends on the angle of incidence and the thickness of the transition layer. Specific recommendations are developed for the construction of a compact second harmonic generator based on transition metamaterials