Dynamic conductivity of nanogranulated films “metal-dielectric” on the microwave frequencies

I. V. Antonets ¹, L. N. Kotov ¹, E. A. Golubev ², V. G. Shavrov ³, V. I. Shcheglov ³

¹ Syktyvkar State University of Sorokin, Oktyabrskiy prosp. 55, Syktyvkar 167001, Russia

² Geology Institute Komy SC UrD RAS, Pervomaiskaya 54, Syktyvkar 167982, Russia

³ Kotel’nikov Institute of Radio Engineering and Electronics of RAS, Mokhovaya 11-7, Moscow 125009, Russia

 

 The paper is received on April 17, 2018

 

Abstract.  The dynamic conductivity of nanogranulated “metal-dielectric” films is investigated. This conductivity is determined from the electromagnetic microwave coefficient of reflection. It is paid attention to the fact of large (to several orders) excess of dynamic conductivity above static conductivity which is determined on the direct current. As s way of physical mechanism which is the foundation of dynamic conductivity it is established the inside-granulated currents model. The film is presented as a plane slide having configuration in the form of  square symmetry lattice. In the junctions of these lattice lines there are cubic granules having good conductivity. There granules are separated by dielectric gaps. The first electromagnetic wave following on the film creates reflecting and passing waves which are the second waves. For the interpretation of currents which are excited inside of granule it is proposed two models: closed and opened electric circuit. In connection with both models it is found the magnetic field of second wave for the case of infinite length film in both its coordinates in plane. On the basis of determined magnetic field it is found the reflection coefficient for primary wave from the film. For each of these models it is found the formulas which determine the specific conductivity of granule material through the reflection coefficient. It is shown that in the case of small size of gaps and large size of granules both models bring the same results. It is established that closed circuit model is applicable only in the case when gaps sixes are more less then granules sizes. It is established that open circuit model is applicable by arbitrary correlation between gaps and granules dimensions. It is made some recommendations for the experiments which may be the criterion of enough correct election between both models application.

Key words:  thin films, metamaterials, nanocomposit metal-dielectric, electromagnetic wave reflection, dynamic conductivity.

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For citation:
I. V. Antonets, L. N. Kotov, E. A. Golubev, V. G. Shavrov, V. I. Shcheglov. Dynamic conductivity of nanogranulated films “metal-dielectric” on the microwave frequencies. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 5. Available at http://jre.cplire.ru/jre/may18/2/text.pdf

DOI  10.30898/1684-1719.2018.5.2