A.N. Agalakov – Post-graduate Student, 

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

I.A. Vdovichenko – Ph.D.(Phys.-Math.), Associate Professor, 

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

E-mail: physics@nntu.ru

G.S. Malyshev – Post-graduate Student, 

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

E-mail: gr1g0r@yandex.ru

N.A. Novoselova – Ph.D.(Eng.), Associate Professor, 

Nizhny Novgorod State Technical University n.a. R.E. Alekseev E-mail: physics@nntu.ru

The article formulates the main provisions of the spectral method of calculating the guide electrodynamic structures, which implies the rejection of the Lorentz calibration. The results of the calculation of the dispersion characteristics of the waves of a round open dielectric waveguide, obtained by the spectral method and the method based on the partial domain method, coincide.

The application of the spectral method for calculating the dispersion characteristics of the waves of an open dielectric waveguide is considered using the example of a waveguide with a cross-shaped cross section. The method is characterized by high speed and allows high-precision calculation of the characteristics of open dielectric waveguides.

Analysis of the results obtained in the article using the spectral method made it possible to establish that, by changing the geometric dimensions of the cross section of open dielectric waveguides with a cross-section, as well as choosing the distribution function of the dielectric constant over the cross section, it is possible to increase the single-mode region of this open dielectric waveguide compared to with open dielectric waveguides of rectangular section, provided that the cross section of the open dielectric waveguide an insulating waveguide section is inscribed in the open dielectric waveguide stripline.

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