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Green’s Functions for Multilayer Cylindrical Structures and Their Application to Radiation, Propagation and Scattering Problems

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Abstract

The method of Green’s functions for layered cylindrical magneto-dielectric structures is applied to solution of radiation, propagation and scattering problems. Excitation of an electromagnetic field is provided by arbitrary distribution of impressed electric and magnetic currents. The model of equivalent circuits is used for the description of a layered structure. Transmission matrices and various kinds of loads allow one to model both structure and boundaries. Equivalent voltages and currents in modelling circuits are associated with spectral field components. The suggested method allows one to construct universal algorithms for wave propagation, patch, and slot antennas radiation and scattering problems with any number of layers made of materials of arbitrary permittivity and permeability. Positive and negative refraction index of materials may be taken into account. The suggested technique has been successfully applied to the investigation of radiating structures made of meta-materials commonly used in electromagnetic designs.

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Acknowledgements

The research was supported by Act 211 Government of the Russian Federation, contract No. 02.A03.21.0006.

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Correspondence to S. Shabunin .

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Daylis, S., Shabunin, S. (2020). Green’s Functions for Multilayer Cylindrical Structures and Their Application to Radiation, Propagation and Scattering Problems. In: Kumkov, S., Shabunin, S., Syngellakis, S. (eds) Advances in Information Technologies, Telecommunication, and Radioelectronics. Innovation and Discovery in Russian Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-37514-0_13

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  • DOI: https://doi.org/10.1007/978-3-030-37514-0_13

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