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The Method of Singular Integral Equations in the Theory of Microstrip Antennas Based on Chiral Metamaterials

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12th Chaotic Modeling and Simulation International Conference (CHAOS 2019)

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

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Abstract

The present chapter is devoted to the study of microstrip antennas (MSA) based on chiral metamaterials. The method of electrodynamic analysis of similar antennas with chiral substrates is considered, ensuring high accuracy of calculations and at the same time being less exacting to computational resources in comparison with known complexes of electrodynamic modeling. A mathematical model of MSA with a biisotropic chiral substrate is shown on the basis of the mathematical apparatus of singular integral equations (SIE), whose numerical solution belongs to the class of well-posed mathematical problems. The results of calculation of the impedance, directional and polarization characteristics of MSA with chiral substrates are presented. The problem of diffraction of a plane electromagnetic wave of linear polarization on a re-radiating structure based on a chiral metamaterial is considered.

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Abbreviations

EMF:

Electromagnetic field

EMW:

Electromagnetic wave

DD:

Directionality diagrams

MSA:

Microstrip antenna

SIE:

Singular integral equation

SIR:

Singular integral representation

UHF:

Ultra-high frequency

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Author information

Authors and Affiliations

  1. L. Tolstoy str., 23, Samara, 443010, Russia

    Dmitriy S. Klyuev, Anatoly M. Neshcheret, Oleg V. Osipov & Julia V. Sokolova

  2. V. A. Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia

    Alexander A. Potapov

Authors
  1. Dmitriy S. Klyuev
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  2. Anatoly M. Neshcheret
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  3. Oleg V. Osipov
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  4. Alexander A. Potapov
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  5. Julia V. Sokolova
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Corresponding author

Correspondence to Alexander A. Potapov .

Editor information

Editors and Affiliations

  1. ManLab, Technical University of Crete, Chania, Crete, Greece

    Christos H. Skiadas

  2. Department of Management Science and Technology, Hellenic Mediterranean University, Agios Nikolaos, Crete, Lasithi, Greece

    Yiannis Dimotikalis

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Klyuev, D.S., Neshcheret, A.M., Osipov, O.V., Potapov, A.A., Sokolova, J.V. (2020). The Method of Singular Integral Equations in the Theory of Microstrip Antennas Based on Chiral Metamaterials. In: Skiadas, C., Dimotikalis, Y. (eds) 12th Chaotic Modeling and Simulation International Conference. CHAOS 2019. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-39515-5_22

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