I review the four mechanisms of bound states in the continuum (BICs) in the application of
microwave and acoustic cavities open to directional waveguides. The most simple are …

We develop the effective non-Hermitian Hamiltonian approach for open systems with
Neumann boundary conditions. The approach can be used for calculating the scattering …

This work presents a multimodal method for the propagation in a waveguide with varying
height and its relation to trapped modes or quasi-trapped modes. The coupled mode …

Elastic wave characteristics of the heat conduction in low-temperature thin wires can be
studied via a wave scattering formalism. A reaction matrix formulation of heat conductance …

We study electron transport in nanosized semiconductor waveguides of different shapes.
The spin-dependent transport through these nonuniform nanostructures is investigated in …

An efficient computational approach to spin-dependent electron transport in two-
dimensional waveguides with rather arbitrary geometry is presented, with necessary details …

Effects of correlated disorder on wave localization have attracted considerable interest.
Motivated by the importance of studies of quantum transport in rough nanowires, here we …

Two-dimensional quantum scattering by isotropic and non-isotropic interactions localized on
a circle is considered. The expansion of the interaction on the circle in a Fourier series …

Here a straightforward procedure to characterize electronic resonances in arbitrary coupled
open or closed nano and micro structures–formed by cavities (or billiards) connected by …

A one-way approximation is investigated for the computation of wave propagation in varying
cross-section waveguides, under the assumption of weak variations. Using a change of …