Effective Medium Theory for Time-Modulated Subwavelength Resonators
Abstract
Abstract. This paper provides a general framework for deriving effective material properties of one-dimensional, time-modulated systems of subwavelength resonators. It applies to subwavelength resonator systems with a general form of time-dependent parameters. We show that the resonators can be accurately described by a point-scattering formulation when the width of the resonators is small. In contrast to the static setting, where this point interaction approximation yields a Lippmann–Schwinger equation for the effective material properties, the mode coupling in the time-modulated case instead yields an infinite linear system of Lippmann–Schwinger-type equations. The effective equations can equivalently be written as a system of differential equations. Moreover, we introduce a numerical scheme to approximately solve the system of coupled equations and illustrate the validity of the effective equation.
Fields of Study & Subjects
Metamaterials and Metasurfaces Applications
Microwave Imaging and Scattering Analysis
Laser-Matter Interactions and Applications
Publication details
- Journal / source
- SIAM Journal on Applied Mathematics
- Publisher
- Society for Industrial & Applied Mathematics (SIAM)
- Volume
- 86
- Issue
- 1
- Pages
- 305–326
- Publication date
- 23 January 2026
- Language
- EN