Scattering, trapped modes and guided waves in waveguides and diffraction gratings

TL;DR

This paper introduces a numerical method to identify eigenfrequencies of trapped modes and guided waves in waveguides and diffraction gratings, with applications in controlling electron transport in nano-scale systems.

Contribution

The paper presents a novel numerical approach capable of detecting trapped modes and guided waves in complex waveguide and diffraction grating systems, including those with multiple scattering channels.

Findings

Effective detection of eigenfrequencies of trapped modes.

Applicable to systems with finitely many scattering channels.

Potential for controlling electron transport in nano-systems.

Abstract

We suggest the numerical approach to detect eigenfrequencies of trapped modes in waveguides or guided waves in diffraction gratings. At the same time, the approach works perfectly for computation of systems with finitely many scattering channels. The most attractive example concerns the possibility of control on electron transport in nano-dimensions system consisting of a resonator and finitely many adjoined channels due to external variable electric field.