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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2018-10-25
On a Rigorous Proof of the Existence of Complex Waves in a Dielectric Waveguide of Circular Cross Section
By
Yury V. Shestopalov,

    Professor Yury V. Shestopalov

    Department of Electronics, Mathematics and Natural Sciences, Faculty of Engineering and Sustainable Development

    University of Gävle

    Sweden

    Homepage

Ekaterina A. Kuzmina

    Dr. Ekaterina A. Kuzmina

    Moscow State Institute of Radio Engineering, Electronics, and Automation (Technical University)

    Russia

    Homepage

Progress In Electromagnetics Research B, Vol. 82, 137-164, 2018
doi:10.2528/PIERB18050102 | Google Scholar

Abstract
Existence of symmetric complex waves in a dielectric rod (DR) - a dielectric waveguide of circular cross section - is proved by analyzing functional properties of the dispersion equations (DEs) using the theory of functions of several complex variables and validating the existence of complex roots of DE. A closed-form iteration procedure for calculating the roots in the complex domain supplied with efficient choice of initial approximation is proposed. Numerical modeling is performed with the help of a parameter-differentiation method applied to the analytical and numerical solution of DEs.
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Citation
Yury V. Shestopalov, and Ekaterina A. Kuzmina, "On a Rigorous Proof of the Existence of Complex Waves in a Dielectric Waveguide of Circular Cross Section," Progress In Electromagnetics Research B, Vol. 82, 137-164, 2018.
doi:10.2528/PIERB18050102
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