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Analysis of 1D periodic dielectric structures using a hybrid projection method

  • Electrodynamics and Wave Propagation
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Abstract

A method is proposed for analysis of longitudinally inhomogeneous 1D periodic dielectric structures located on a homogeneous magnetodielectric layer. According to the method, in the case of the E (H) polarization, the transverse electric (magnetic) field in the region containing the elements of the structure is expanded over transverse functions of Floquet harmonics with unknown variable coefficients. Projection of the Helmholtz equations for the aforementioned fields onto the transverse functions, application of the 1D method of finite elements for the longitudinal coordinate, and use of projection matching of the fields on the boundaries of partial regions reduce the problem to numerically solvable systems of linear algebraic equations. The results of comparison demonstrating the efficiency of the method, the results of optimization of rectangular and triangular elements of a lossless dielectric structure designed for matching to free space, and the reflection coefficients for absorbing periodic structures based on recently developed wideband polyurethane-foam materials with a superdispersed carbonic filler are presented and discussed.

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Authors and Affiliations

  1. Company Radiofizika, Geroev Panfilovtsev Str., 10, Moscow, 125363, Russia

    S. P. Skobelev & O. N. Smol’nikova

  2. Moscow Institute of Physics and Technology (National Research University), Institutskii per., 9, Dolgoprudnyi, Moscow Region, 141700, Russia

    S. P. Skobelev

  3. Moscow Aviation Institute (National Research University), Volokolamskoe Sh., 4, Moscow, 125993, Russia

    O. N. Smol’nikova

Authors
  1. S. P. Skobelev
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  2. O. N. Smol’nikova
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Correspondence to S. P. Skobelev.

Additional information

Original Russian Text © S.P. Skobelev, O.N. Smol’nikova, 2012, published in Radiotekhnika i Elektronika, 2012, Vol. 57, No. 10, pp. 1066–1077.

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Skobelev, S.P., Smol’nikova, O.N. Analysis of 1D periodic dielectric structures using a hybrid projection method. J. Commun. Technol. Electron. 57, 1073–1083 (2012). https://doi.org/10.1134/S1064226912070121

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  • DOI: https://doi.org/10.1134/S1064226912070121

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