Mathematical modeling of waveguides with fractal insets

Bogolyubov, A. N.; Petukhov, Alexey; Shapkina, N. E.

doi:10.3103/s0027134911020044

Cited by 8 publications

(1 citation statement)

References 4 publications

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“…Modern technologies in the field of creating new materials and metamaterials are able to give waveguides with almost any distribution of dielectric constant into the hands of practitioners. Moreover, they are increasingly trying to use fractal inserts [8], which means that the scalar model, with its assumption that the dielectric constant changes are small and slow, is becoming less and less adequate. The same conclusion can be made with respect to the study of multicore waveguides, the study of which is focused on providing 5G networks [9]- [11].…”

Section: Introductionmentioning

confidence: 99%

Calculation of the normal modes of closed waveguides

Malykh

Divakov

Egorov

et al. 2020

Discrete and Continuous Models

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The aim of the work is the development of numerical methods for solving waveguiding problems of the theory of waveguides, as well as their implementation in the form of software packages focused on a wide range of practical problems from the classical issues of microwave transmission to the design of optical waveguides and sensors. At the same time, we strive for ease of implementation of the developed methods in computer algebra systems (Maple, Sage) or in software oriented to the finite element method (FreeFem++). The work uses the representation of electromagnetic fields in a waveguide using four potentials. These potentials do not reduce the number of sought functions, but even in the case when the dielectric permittivity and magnetic permeability are described by discontinuous functions, they turn out to be quite smooth functions. A simple check of the operability of programs by calculating the normal modes of a hollow waveguide is made. It is shown that the relative error in the calculation of the first 10 normal modes does not exceed 4%. These results indicate the efficiency of the method proposed in this article.

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Section: Introductionmentioning

confidence: 99%