Effective Maxwell's equations for perfectly conducting split ring resonators
type: Item
instance of: scholarly article
title: Effective Maxwell's equations for perfectly conducting split ring resonators
zbMATH Open document ID: 1402.35272
author: Ben Schweizer
author: Robert Lipton
published in: Archive for Rational Mechanics and Analysis
publication date: 2018-08-16T00:00:00Z
full work available at URL: http://hdl.handle.net/2003/35841
review text: The authors analyze a split ring geometry with materials that are perfectly conducting. The time harmonic Maxwell equations are studied here, and the homogenization limit in which the size of the rings tends to zero is derived. Formulas for the explicit effective material parameters are obtained in the homogenization limit. In particular, the effective magnetic permeability can have a negative real part. Another geometric averaging procedure (besides volume averaging) is introduced for curl free vector fields. This is motivated by taking into account inclusions which are not simply connected.
reviewed by: Eric Stachura
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 78M40
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 6919817
zbMATH Keywords: split ring resonator
zbMATH Keywords: perfect conductor
zbMATH Keywords: homogenization
zbMATH Keywords: metamaterials
zbMATH Keywords: Maxwell equations
MaRDI profile type: Publication
OpenAlex ID: W2602823576
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DOI: 10.1007/S00205-018-1237-1
description: scientific article; zbMATH DE number 6919817