Conclusions
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1.
The solution obtained by the projection method for the problem of the natural modes of a two-dimensionally periodic system of rectangular dielectric bars is suitable for numerical implementation on a computer and can be used for the efficient calculation of the characteristics of slow and fast traveling as well as damped waves.
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2.
Our investigation of the natural-mode characteristics shows that a system of rectangular dielectric bars is an anisotropic structure, the properties of which depend on the ratio between the transverse dimensions of the bars. A system of square bars is similar in its properties to a system of circular rods.
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3.
The solution obtained here can be generalized to the case of a two-dimensionally periodic system containing in one cell several bars with different dielectric constants as well as different transverse dimensions.
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Additional information
N. É. Bauman Moscow Higher Technical School. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 24, No. 5, pp. 621–628, May, 1981.
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Krekhtunov, V.M., Tyulin, V.A. Natural modes of a two-dimensionally periodic system of rectangular dielectric bars. Radiophys Quantum Electron 24, 422–427 (1981). https://doi.org/10.1007/BF01033755
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DOI: https://doi.org/10.1007/BF01033755