We analyze the consistency, stability, and convergence of an hp discontinuous Galerkin spectral element method. The analysis is carried out simultaneously for acoustic, elastic, coupled elastic–acoustic, and electromagnetic wave propagation. Our analytical results are developed for both conforming and non-conforming approximations on hexahedral meshes using either exact integration with Legendr...

Steep, short-crested waves, as well as a large variety of three-dimensional propagating wave patterns have been created in laboratory, utilizing a plunging half-cone. Monochromatic waves, over a range of frequencies and amplitudes through breaking and including soliton wave groups near resonance, have been observed and studied in a small wave flume. This monochromatic wavemaker creates complex ...

A full-wave electromagnetic model for analyzing waveguide discontinuities of arbitrarily shaped piecewise planar boundaries is presented. The analysis is facilitated by using the finite plane-wave series expansion of circular cylindrical modal functions. Since electromagnetic fields on each of the planar boundary surfaces of the inhomogeneous region are expressed in terms of plane-wave modal fu...

This paper is centered at deriving and studying systems modeling bi-directional surface waves over an uneven or a moving bottom. Compared with the huge amount of work on model equations describing one-way propagation of water waves, much less attention has been given to Boussinesq systems describing two-way propagation of water waves, especially to the systems which are externally forced.

BACKGROUND Electromagnetic fields used in physiotherapeutic treatment affect not only patients, but also physiotherapists, patients not undergoing treatment and electronic medical equipment. OBJECTIVE The aim of the work was to study the parameters of the electromagnetic fields of physiotherapeutic devices with respect to requirements regarding the protection of electronic devices, including ...

This paper aims to describe a deterministic generation of extreme waves in a typical towing tank. Such a generation involves an input signal to be provided at the wave maker in such a way that at a certain position in the wave tank, say at a position of a tested object, a large amplitude wave emerges. For the purpose, we consider a model called a spatial-NLS describing the spatial propagation o...

The relativistic motion of an electron is calculated in the combined fields of a transverse helical wiggler field (axial wavelength = X0 27/k 0) and constant-amplitude, circularly polarized primary electromagnetic wave (6B , ,k) propagating in the z-direction. For particle velocity near the beat wave phase velocity w/(k + k0) of the primary wave, it is shown that the presence of a second, moder...

We demonstrate the utility of three-dimensional 3D optical Wannier functions WF’s for quantitative description of electromagnetic wave localization and propagation in 3D photonic band gap PBG microcircuits. Using these localized “optical orbitals” we reconstruct electromagnetic waveguiding in bulk twodimensional 2D and 3D PBG materials, 2D-3D PBG heterostructures composed of 3D PBG structures i...