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Localization of the Equations of Electromagnetic Wave Propagation in Periodic Media

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

Homogeneous and inhomogeneous equations of electromagnetic wave propagation in a 2D periodic medium are considered. The equations are obtained within the framework of the method of the generalized scattering matrix. It is shown that these equations derived in the initial form are weakly localized and need taking into account the interaction of the periodic medium particles, which are distant at large distances. It is found that the main problem in constructing the algorithm of the numerical solution of the propagation equations is the determination of the discrete Fourier transform of the coupling matrix. This transform is equivalent to the summation of double slowly convergent series. The localizing transformation of the propagation equations is suggested. It is shown that the localized propagation equations take into account only the interaction of particles located in a limited spatial region. The algorithms of calculation of the parameters of the localizing transformation and the discrete Fourier transform of the coupling matrix are considered. It is shown that the application of the localizing transformation considerably improves the convergence of series for the coupling matrix. The results obtained with the help of the suggested method and known method of calculation of the double discrete Fourier transform are compared.

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Funding

This study was supported by the budgetary financing within the bounds of the government task according to issue no. 0030-2019-0014.

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Authors and Affiliations

  1. Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 125009, Moscow, Russia

    S. E. Bankov

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  1. S. E. Bankov
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Correspondence to S. E. Bankov.

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Translated by I. Efimova

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Bankov, S.E. Localization of the Equations of Electromagnetic Wave Propagation in Periodic Media. J. Commun. Technol. Electron. 66, 665–671 (2021). https://doi.org/10.1134/S1064226921060036

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  • DOI: https://doi.org/10.1134/S1064226921060036

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