We propose a new approach of optical field management based on a local Hilbert transform, where the non-Hermitian potentials generating arbitrary vector fields of directionality, p→(r→), with desired shapes and topologies are designed. We derive a local Hilbert transform to build systematically such potentials, by modifying background potentials (being either regular or random, extended or localized). In particular, we explore particular directionality fields, for instance in the form of a focus to create sinks for probe fields, to generate vortices in the probe fields, and others. Physically, the proposed directionality fields provide a flexible new mechanism for dynamically shaping and precise control over probe fields leading to novel effects in wave dynamics.

Date Published: 30 April 2019
PDF: 8 pages
Proc. SPIE 11025, Metamaterials XII, 1102506 (30 April 2019); doi: 10.1117/12.2522675

Published in SPIE Proceedings Vol. 11025:
Metamaterials XII
Vladimír Kuzmiak; Peter Markos; Tomasz Szoplik, Editor(s)