A problem of reflection and transmission of a plane shear wave incident at a corrugated interface between transversely isotropic inhomogeneous and visco-elastic half-spaces is investigated. Applying appropriate boundary conditions and using Rayleigh’s method of approximation expressions for reflection and transmission coefficients are obtained for the first and second order approximation of the...

To obtain the eigenmodes of the electromagnetic field at a periodically corrugated metamaterial we consider a theory of spoof plasmons propagating on metamaterial perforated with planar periodic grooves. We present the rigorous modeling and analysis of surface waves at the boundary of the corrugated metamaterial structure. Particularly, we pay special attention to the ways of controlling the pr...

Love-type wave generation in a fiber-reinforced medium placed over an inhomogeneous orthotropic half-space is analysed. The upper and lower boundary surfaces of the fiber reinforced medium are periodically corrugated. Inhomogeneity of half-space is caused by variable density and variable shear modules. Displacement components for layer and half-space are derived by applying separable variable t...

We present a new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and general boundary conditions. We derive the boundary induced change of the density of states in terms of the free Green’s function from which we obtain non-perturbative results for the Casimir interaction between rigid surfaces. As an example, we compute the lateral electrodynamic force between two corrugat...

Slow-wave instability in a rectangularly corrugated cylindrical waveguide is analyzed. Fields inside corrugation is expressed by a sum of space harmonics satisfying the boundary conditions at the corrugation wall. The corrugation fields are matched to periodic fields outside the corrugation at the boundary of the two regions. Infinitesimally thin annular electron beam is considered including th...

A mathematical model is presented to investigate the effects of sandiness, irregular boundary interfaces, heterogeneity and viscoelasticity on the phase velocity of Love waves. Geometry of the problem is consisting of an initially stressed viscoelastic layer with corrugated irregular boundaries, which is sandwiched between heterogeneous orthotropic semi-infinite half-space with initial stress a...

Abstract   In the present study, the effects of wavy wall’s properties on mixed convection heat transfer of Water-Al2O3 Nanofluid in a lid-driven cavity are investigated using the Lattice Boltzmann Method. The Boundary Fitting Method with second order accuracy at both velocity and temperature fields is used to simulate the curved boundaries in the LBM. The problem is investigated for different ...

Plasmonic crystal effects analogous to photonic crystal phenomena such as zone folding and gap opening were observed for edge magnetoplasmons in a two-dimensional electron system with a periodically corrugated boundary at microwave frequencies. Magnetic field dependent photovoltage data provide unequivocal evidence for Bragg reflection. Band gaps up to fifth order were observed. These gaps were...

A novel idea of conformal corrugated edges (CCE) is put forward in this paper for tapered slot antennas to obtain improved low-frequency characteristics. The CCE is realized using conformal slots whose two longitudinal boundary lines are modelled using curvilinear function of the curves that form the tapered slots. So the conformal slots can sufficiently corrugate edges of the tapered slot ante...