FDTD Scheme for Interfaces Formed by Space-Time Modulations

Abstract

Emerging metamaterials formed by space-time modulation involve interfaces that conjunctly move in space and time. This creates a fundamental discretization issue in numerical methods such as the Finite Difference Time Domain (FDTD) method. This paper highlights this issue and resolves it using a numerical frame-hopping scheme. This scheme is validated by comparison with exact analytical results from previous works.