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Singular Integral Equations in Scattering of Planar Dielectric Waveguide Eigenwaves by the System of Graphene Strips at THz

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Abstract

We consider the scattering of the H-polarized eigenwaves of a planar dielectric waveguide by a coplanar system of graphene strips in the THz range. The strips are placed along the centreline of the waveguide. Our treatment is based on the singular integral equations with the Nystrom-type discretization algorithm. Dependences of the scattering characteristics, near and far fields, are studied. Frequency scanning radiation patterns are presented. Maximum of the radiated power is observed near the plasmon resonances. The resonant frequency and main lobe level can be controlled by variation of the chemical potential. Applied optimization procedure allows to obtain the radiation pattern with the side-lobe level less than − 20 dB. The presented results can be used in designing of graphene leaky-wave antennas.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Code Availability

The home-made code that supports the findings of this study is available from the corresponding author upon reasonable request.

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Funding

This work was supported by the Ministry of Education and Science of Ukraine, grants 0119U002535 and 0117U004964.

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Authors and Affiliations

  1. School of Radiophysics, Biomedical Electronics and Computer Systems, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine

    Mstislav E. Kaliberda, Leonid M. Lytvynenko & Sergey A. Pogarsky

  2. Institute of Radio Astronomy of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

    Mstislav E. Kaliberda, Leonid M. Lytvynenko & Sergey A. Pogarsky

Authors
  1. Mstislav E. Kaliberda
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  2. Leonid M. Lytvynenko
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  3. Sergey A. Pogarsky
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Contributions

Mstislav E. Kaliberda carried out the derivation of equations, wrote the program code and performed computations, and participated in data analysis; Leonid M. Lytvynenko made the problem statement and participated in the derivation of basic equations; Sergey A. Pogarsky participated in data analysis, critically revised the manuscript, and helped draft the manuscript. All authors gave final approval for publication.

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Correspondence to Mstislav E. Kaliberda.

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Kaliberda, M.E., Lytvynenko, L.M. & Pogarsky, S.A. Singular Integral Equations in Scattering of Planar Dielectric Waveguide Eigenwaves by the System of Graphene Strips at THz. Plasmonics 17, 505–517 (2022). https://doi.org/10.1007/s11468-021-01511-9

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