Propagation of electromagnetic waves over a foamed sea surface

We study the propagation of electromagnetic waves over a smooth sea surface with impedance fluctuations due to copious foaming. This problem is solved analytically with allowance for multiple scattering at small grazing angles. An analytical expression for the effective impedance of the mean field is found in the case of large variance in the perturbation of the dielectric properties of the interface. Radiophysical Research Institute, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 5, pp. 438–451, May 1999.     

Modeling of the propagation of electromagnetic waves in 2D labyrinthine photonic structures

The features of electromagnetic wave propagation in photonic structures with a labyrinthine distribution of the refractive index have been analyzed based on the direct numerical solution of Maxwell’s equation. It is shown that the distribution of the energy density of the electromagnetic field is characterized by a complex branching structure, and the transmission nonlinearly depends on the size of the photonic cell.     

Modeling of atmospheric propagation of acoustic gravity waves generated by different surface sources

A model of acoustic gravity wave propagation is developed and a numerical algorithm for solving the corresponding hydrodynamics equations is elaborated. Behavior of the waves in the upper atmospheric layers is studied in relation to the parameters of the ground-based sources.     

Left-handed interfaces for electromagnetic surface waves

We show that surface electromagnetic waves (SEMWs) propagating along two-dimensional (2D) interfaces separating different metamaterials can behave analogously to 3D electromagnetic waves in either usual or left-handed media, depending on the permeabilities and/or permittivities of the two materials forming the interface. We derive the conditions when SEMWs carry energy opposite to the phase velocity. In analogy to three-dimensional (3D) left-handed media, we derive both an anomalous Cherenkov emission and a reversed Doppler effect. We also predict a negative refraction at the boundary between two different interfaces, which can be useful for perfect 2D lensing.     

Nonlinear phenomena in the propagation of electromagnetic waves in the magnetzed vacuum

The nonlinear effects like the higher harmonics generation, the amplitude-dependent change of the wavelength, the change of the shape of the pulses, were predicted for the propagation of plane electromagnetic waves in vacuum in the presence of a constant magnetic field. To solve the set of the first order nonlinear partial differential equations, the method of the “simple waves”, invented for fluid dynamics, was used.     

Asymmetric propagation of electromagnetic waves through a planar chiral structure

We report that normal incidence transmission of circularly polarized waves through the lossy anisotropic planar chiral structure is asymmetric in the opposite direction. The new effect is fundamentally distinct from conventional gyrotropy of bulk chiral media and the Faraday effect, where the eigenstates are a pair of counterrotating elliptical states, while the eigenstates of the lossy anisotropic planar chiral structure are two corotating elliptical polarizations.     

Anderson localization and propagation of electromagnetic waves through disordered media

We have used the dynamic method to calculate the frequency dependence of the localization length in a disordered medium, using the amplitude change and the redshift of the spectral density of the propagating incident pulse. The frequency dependence of the localization length in an effectively one-dimensional disordered medium is computed in terms of the strength of the disorder. The results obtained with the dynamic method are confirmed by computing the same results using the transfer-matrix method.     

Super-slow surface electromagnetic waves in layer-periodic structure

The propagation of surface electromagnetic waves along the boundary of a layer-periodic structure and free space is studied. A peculiarity of these waves is their low phase velocity, which is on the order of 10⁶ cm/sec. Their existence is a result of two factors: the translational symmetry of the periodic structure and the dispersion of the dielectric constant at one of the layers.Institute of Radio Physics and Electronics, Academy of Sciences of Ukraine. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 35, No. 6/7, pp. 587–595, June–July, 1992.     

Diffraction and propagation of electromagnetic waves in the presence of chiral media

The propagation of electromagnetic waves in infinite, semiinfinite, and laminar chiral structures is investigated, along with the diffraction of electromagnetic waves on semiinfinite objects in a chiral medium and three-dimensional objects consisting entirely or partially of chiral materials. Particular attention is paid to diffraction on three-dimensional uniform chiral bodies and ideally conducting bodies covered by chiral shells. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 50–61, August, 1998.     

Shallow water sound propagation with surface waves

The theory of wavefront modeling in underwater acoustics is extended to allow rapid range dependence of the boundaries such as occurs in shallow water with surface waves. The theory allows for multiple reflections at surface and bottom as well as focusing and defocusing due to reflection from surface waves. The phase and amplitude of the field are calculated directly and used to model pulse propagation in the time domain. Pulse waveforms are obtained directly for all wavefront arrivals including both insonified and shadow regions near caustics. Calculated waveforms agree well with a reference solution and data obtained in a near-shore shallow water experiment with surface waves over a sloping bottom.     

On the surface electromagnetic waves in single-layer metal-like materials

Surface electromagnetic waves in single-layer metal-like materials (such as graphene and borophene) in planar and cylindrical geometries are studied. Expressions for the permittivity tensor, dispersion relations, and vibrational spectra are obtained under conditions when the spatial dispersion can be neglected. It is shown that vibrations of two types exist in single-layer materials: bulk-type vibrations with a field localized on the surface and surface-type vibrations in which the field exponentially decrease on both sides beyond the surface.     

Far infrared surface electromagnetic waves propagation on A3B5 semiconductors

The real and imaginary parts of surface electromagnetic waves (SEW) refraction index n_ef in n-type InSb, GaAs and InP have been measured in FIR region (=85–142 cm^–1). The n_ef measurements allowed to determine plasma frequency _p and plasmon damping . The obtained nonlinear SEW propagation distance L dependence on Te impurity concentration in GaAs (N=10¹⁷–10¹⁹ cm^–3) was explained taking into account the conduction band nonparabolity as well as the presence of isostructural phase transition at N=2×10¹⁰ cm^–3.     

Mass change of dielectric media induced by propagation of electromagnetic waves

It has been experimentally confirmed that an electromagnetic wave carries momentum and thus exerts forces on dielectrics. Combining wave-particle duality with the theory of relativity, it was shown in the present work that the electromagnetic wave also increases the mass of the dielectric medium through which the incident wave propagates. The change in the mass density of the medium, or the mass density of the electromagnetic wave in the medium, was found to be proportional to the energy density of the incident wave. At an absolute temperature T, the mass density of the black body radiation was shown to be proportional to T⁴. “Weighing” the light wave in a glass fiber provides a novel technique to study the particle nature of electromagnetic waves in dielectric media.