COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Effective Maxwell's equations in a geometry with flat split-rings and wires
Effective Maxwell's equations in a geometry with flat split-rings and wiresAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact INI IT. This talk has been canceled/deleted Propagation of light in heterogeneous media is a complex subject of research. Key research areas are photonic crystals, negative index metamaterials, perfect imaging, and cloaking. The mathematical analysis of negative index materials, which we want to focus on in this talk, is connected to a study of singular limits in Maxwell's equations. We present a result on homogenization of the time harmonic Maxwell's equations in a complex geometry. The homogenization process is performed in the case that many (order $\eta$) small (order $\eta1$), flat (order $\eta2$) and highly conductive (order $\eta{-3}$) metallic split-rings are distributed in a domain $\Omega\subset \mathbb{R}^3$. We determine the effective behavior of this metamaterial in the limit $\eta\searrow 0$. For $\eta>0$, each single conductor occupies a simply connected domain, but the conductor closes to a ring in the limit $\eta\searrow 0$. This change of topology allows for an extra dimension in the solution space of the corresponding cell-problem. Even though both original materials (metal and void) have the same positive magnetic permeability $\mu_0>0$, we show that the effective Maxwell system exhibits, depending on the frequency, a negative magnetic response. Furthermore, we demonstrate that combining the split-ring array with thin, highly conducting wires can effectively provide a negative index metamaterial. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
Other listsSeminar on Religion, Conflict and Its Aftermath Centre for Health Leadership and Enterprise tate modernOther talksAnomaly-free Froggatt-Nielsen models of flavor Timing of the first lineage segregation in the early mouse embryo Collective Microswimmer Motility in Complex Environments Nucleosomal Asymmetry Shapes Histone Mark Binding at Bivalent Domains DNA strand break repair and human genetic disease An Operation Sequence Model for Explainable Neural Machine Translation |