Range-dynamical low-rank split-step Fourier method for the parabolic wave equation.

Numerical solutions to the parabolic wave equation are plagued by the curse of dimensionality coupled with the Nyquist criterion. As a remedy, a new range-dynamical low-rank split-step Fourier method is developed. The integration scheme scales sub-linearly with the number of classical degrees of freedom in the transverse directions.

Single-shot link discovery for terahertz wireless networks.

Of the many challenges in building a wireless network at terahertz frequencies, link discovery remains one of the most critical and least explored. In a network of mobile receivers using narrow directional beams, how do the nodes rapidly locate each other? This direction information is crucial for beam forming and steering, which are fundamental operations for maintaining link quality. As the carrier frequency increases into the terahertz range, the conventional methods used by existing networks become prohibitively time-consuming, so an alternative strategy is required.

Characteristics of resonance-induced optical vortices and spatial reshaping.

The spatial profile of a beam can experience complicated reshaping after interacting with a planar resonator near resonant conditions. Previously, this phenomenon was recognized as the Goos-Hänchen effect, which only partially explains the experimental observations. In this Letter, we introduce a 2D model that can fully describe the resonance-induced spatial reshaping.

Extraordinary optical reflection resonances and bound states in the continuum from a periodic array of thin metal plates.

The creation of artificial structures with very narrow spectral features in the terahertz range has been a long-standing goal, as they can enable many important applications. Unlike in the visible and infrared, where compact dielectric resonators can readily achieve a quality factor (Q) of 10, terahertz resonators with a Q of 10 are considered heroic. Here, we describe a new approach to this challenging problem, inspired by the phenomenon of extraordinary optical transmission (EOT) in 1D structures.