<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Distortions of the structure of a uniform electric field when a dielectric body with a toroidal shape is placed in it are considered in the quasi-static approximation. The rate of distortion is proposed to estimate through the effective permittivity of toroid determined by solving the corresponding boundary value problem. Some numerical estimates obtained using specially developed software in the language of Matlab are given.</p></abstract>

Distortions of the structure of a uniform electric field when a dielectric body with a toroidal shape is placed in it are considered in the quasi-static approximation. The rate of distortion is proposed to estimate through the effective permittivity of toroid determined by solving the corresponding boundary value problem. Some numerical estimates obtained using specially developed software in the language of Matlab are given.

Evaluation of the Uniform Field Distortions Produced by a Toroidal Dielectric Body / Novērtējums Viendabīga Elektriskā Lauka Izkropļojumiem, Kurus Rada Toroīda Formas Dielektrisks Ķermenis

Transport and Telecommunication Institute, 1 Lomonosov Str., Riga, LV-1019, LATVIA

LLC “Environment, Bioenergetics and Biotechnology Competence Centre” 21 Aizkraukles Str., LV-1006, Riga, LATVIA

Latvian Journal of Physics and Technical Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Distortions of the structure of a uniform electric field when a dielectric body with a toroidal shape is placed in it are considered in the quasi-static...

Evaluation of the Uniform Field Distortions Produced by a Toroidal Dielectric Body / Novērtējums Viendabīga Elektriskā Lauka Izkropļojumiem, Kurus Rada Toroīda Formas Dielektrisks Ķermenis

Published Online: Sep 25, 2015

Page range: 57 - 68

DOI: https://doi.org/10.1515/lpts-2015-0023

Keywords
associated Legendre functions, boundary problem, effective permittivity, Laplace’s equation, toroidal coordinates

© by Y. A. Krasnitsky

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Evaluation of the Uniform Field Distortions Produced by a Toroidal Dielectric Body / Novērtējums Viendabīga Elektriskā Lauka Izkropļojumiem, Kurus Rada Toroīda Formas Dielektrisks Ķermenis

Published Online: Sep 25, 2015

Page range: 57 - 68

DOI: https://doi.org/10.1515/lpts-2015-0023

Keywordsassociated Legendre functions, boundary problem, effective permittivity, Laplace’s equation, toroidal coordinates

© by Y. A. Krasnitsky

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
associated Legendre functions, boundary problem, effective permittivity, Laplace’s equation, toroidal coordinates