The application of the analytic continuation model of dispersive materials to electromagnetic engineering

Rodolfo E. Diaz, Nicolaos G. Alexopoulos

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

All dielectrics, by nature are dispersive. This frequency dependence of materials must be modelled whenever microwave structures are expected to operate over broad bands of frequency. The Analytic Continuation Model of materials meets this need. As a compact, complete, ultrabroadband representation of all physically realizable dielectrics, this model can be used for the analysis and design of realistic electromagnetic engineering structures. The model represents dispersive materials as a sum of special complex functions reducible to analytic circuits. After a brief derivation of the model, an approach for obtaining the parameters of the circuits, in the case of dispersive radiofrequency materials, is disclosed. Its use is demonstrated by obtaining a model of a carbon loaded foam that is valid over a 2, 000, 000:1 bandwidth. The model is then applied to the problem of synthesizing materials with prescribed frequency dependent permittivity profiles for the modification of the electromagnetic properties of structures. Illustrative examples are solved using a Dispersive Finite Difference Time Domain computer code to demonstrate the simplicity and versatility of the model.

Original languageEnglish (US)
Pages (from-to)395-422
Number of pages28
JournalElectromagnetics
Volume18
Issue number4
DOIs
StatePublished - Jan 1 1998

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ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Radiation
  • Electrical and Electronic Engineering

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