I.V. Donets 1, A.M. Lerer 2, S.M. Tsvetkovskaya 3

1,2 JSC «All-Russian Scientific Research Institute «Gradient» (Rostov-on-Don, Russian)

1,2 Southern Federal University (Rostov-on-Don, Russian)

3 Don State Technical University (Rostov-on-Don, Russian)

1 igor_don2002@mail.ru, 2 amlerer@sfedu.ru, 3 tsvetkovskayas@mail.ru

Photonic crystals of that type are used in production of wave conductors, filters, polarizers, directional couplers, modulators and lightemitting elements. It is noted in many published works, that these devices are designed in two-dimensional approach. Electromagnetic wave propagation in three-dimensional photonic crystal (PC), formed by nonconducting cylinders of finite height, is researched in this paper. It is shown that performing of multimode, two-mode, single-mode operations, as well as a total absence of propagating modes (filter stop band for all modes) is possible depending on structure parameters. It is concluded that single-mode operation performing and polarization-dependent device creating are possible. All that is possible if PC cylinders are either highly prolonged (diameter is much less than height), flattened (diameter is much greater than height), or have an elliptical transverse section with a big difference in dimension figures of the ellipse axes.

Researches were performed with the help of developed high-efficiency electrodynamic analysis method. Method is founded on integro-differential equation solution. Components of electric field inside the cylinder are unknown. Method of moments with basis functions in terms of product of trigonometric functions by Jacobi and Legendre polynomials is used. Matrix elements of resulting system of linear algebraic equations are series of triple integrals that are obtained analytically. Eventually, the developed software has high accuracy and short counting time in comparison to known electrodynamic modeling packages.

Donets I.V., Lerer A.M., Tsvetkovskaya S.M. Investigation of eigen waves in photonic crystal composed of nonconducting cylinders of finite length. Radioengineering. 2020. V. 84. № 11(22). P. 64−69. DOI: 10.18127/j00338486-202011(22)-12. (in Russian)

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