Simultaneous Control of the Spatial and Temporal Spectra of Light with Space-Time Varying Metasurfaces

TL;DR

This paper introduces space-time varying metasurfaces capable of simultaneously manipulating the spatial and temporal spectra of electromagnetic waves, enabling advanced control over wave transformations such as pulse shaping and time reversal.

Contribution

It develops a synthesis and analytical framework for space-time metasurfaces, demonstrating their ability to control electromagnetic waves in both space and time domains.

Findings

Successfully synthesized space-time metasurfaces for specific wave transformations

Validated control of electromagnetic waves through analytical and FDTD methods

Demonstrated applications include pulse shaping, time reversal, and differentiation

Abstract

This paper presents space-time varying (STV) metasurfaces for simultaneously controlling the spatial and temporal spectra of electromagnetic waves. These metasurfaces transform incident electromagnetic waves into specified reflected and transmitted waves, with arbitrary temporal and spatial frequencies. They are synthesized in terms of time-domain generalized sheet transition conditions (GSTCs). Moreover, they are characterized using an analytical method and the unstaggered finite-difference time-domain (FDTD) technique adapted to space-time metasurfaces. STV metasurfaces performing pulse shaping, time reversal and differentiation are demonstrated as examples.