Finite-Difference Time-Domain Simulation of Wave Transmission Through Space-Time-Varying Media

TL;DR

This paper presents a detailed FDTD simulation approach for modeling electromagnetic wave transmission through media whose properties vary across space and time, including stability conditions and boundary considerations.

Contribution

It introduces new FDTD schemes and stability criteria for accurately simulating wave interactions with space-time-varying media, expanding modeling capabilities.

Findings

Demonstrates the effectiveness of the FDTD schemes with illustrative examples

Provides stability conditions for simulations involving space-time modulation

Shows potential applications in advanced electromagnetic device design

Abstract

A comprehensive study on the Finite Difference Time Domain (FDTD) numerical modelling of space- and time-varying media is presented. We investigate the dynamic behavior of oblique incidence of both TM and TE electromagnetic fields on space-timemodulated gratings. In their general form, these media have electrical permittivity, magnetic permeability, and electrical conductivity modulated across both space and time. We provide the FDTDschemes, the Courant-Friedrichs-Lewy (CFL) stability condition and equations for both TM and TE wave illuminations of space-time-varying slabs, along with the boundary conditions for the FDTD scheme. Furthermore, with engaging illustrative examples, we showcase the versatility and applications of space-time-varying media.