Accurate Circuit Modeling of Fishnet Structures for Negative-Index-Medium Applications

Research output: Contribution to journalArticlepeer-review


  • Victor Torres
  • Francisco Mesa
  • Raul Rodriguez-Berral
  • Miguel Beruete
  • Francisco Medina

Colleges, School and Institutes

External organisations

  • Universidad Pública de Navarra


Metallic plates with a two-dimensional (2D) periodic distribution of sub-wavelength apertures are known to exhibit extraordinary transmission of electromagnetic waves. Stacking two or more of such plates gives place to the so-called fishnet structures, which constitute a popular way of achieving an effective negative index medium at frequencies ranging from microwaves to optics. Unfortunately, a general wideband equivalent circuit has not yet been proposed to facilitate its understanding and design. This work presents this circuit model with closed-form expressions for the circuit elements, thus making it possible to obtain the electrical response for this class of structures in a very efficient way. This procedure is much faster than alternative numerical methods at the same time that it retains a high level of accuracy when compared with some other oversimplified models. The circuit model also provides a simple rationale as well as a good physical insight in order to explain the qualitative behavior of such structures, independently of the number of stacked layers.


Original languageEnglish
Pages (from-to)15-26
Number of pages12
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number1
Publication statusPublished - 1 Jan 2016