Effective Medium Theory for Time-modulated Subwavelength Resonators

Autor:	Ammari, Habib, Cao, Jinghao, Hiltunen, Erik Orvehed, Rueff, Liora
Rok vydání:	2024
Předmět:	Physics - Optics Condensed Matter - Materials Science Mathematical Physics Mathematics - Classical Analysis and ODEs 35J05 35C20 35P20 74J20
Druh dokumentu:	Working Paper
Popis:	This paper provides a general framework for deriving effective material properties of 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 integro-differential equations. Moreover, we introduce a numerical scheme to approximately solve the system of coupled equations and illustrate the validity of the effective equation. Comment: 18 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.13545 Zobrazit plný text záznamu View this record from Arxiv