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

Krasnitsky, Y. A.; Popov, A. E.; Kalnacs, A.

doi:10.1515/lpts-2015-0023

.blurhash-client-img { display: none !important; }

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

Latvian Journal of Physics and Technical Sciences

Volume 52 (2015): Issue 4 (August 2015)

By: Y. A. Krasnitsky, A. E. Popov and A. Kalnacs

Open Access

|Sep 2015

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.

References

1. Jackson, J. D. (1998). Classical electrodynamics. 3rd еd. New York: Wiley.
Search in Google Scholar
2. Cheng E. M., Malek F., Ahmed M., et al. (2012). The use of dielectric mixture equations to analyse the dielectric properties of a mixture of rubber tire dust and rice husks in a microwave absorber. Progress in Electromagnetics Research 129, 559-578.10.2528/PIER12050312
Search in Google Scholar
3. Arfken, G. B., and Weber H. J. (2001). Mathematical methods for physicists, 5th ed. UK: Academic Press.
Search in Google Scholar
4. Morse, P.M., and Feshbach, H. (1953). Methods of theoretical physics, v.1, 2. London: McGraw-Hill Inc.
Search in Google Scholar
5. Bateman, H., and Erdélyi, A. (1953). Higher transcendental functions, v. 1. New York: McGraw-Hill Inc.
Search in Google Scholar
6. Scharstein, R. W., and Wilson, H. B. (2005). Electrostatic excitation of a conducting toroid: exact solution and thin-wire approximation. Electromagnetics 25, 1-19.10.1080/02726340590522102
Search in Google Scholar
7. Landau, L. D., and Lifshitz, E. M. (1984). Electrodynamics of continuous media (Course of theoretical physics, v. 8). Oxford: Pergamon Press Ltd.
Search in Google Scholar
8. Dielectric sphere in electric field. Retrieved 25 May 2015, from http://wiki.4hv.org/index.php/Dielectric_Sphere_in_Electric_Field.
Search in Google Scholar

DOI: https://doi.org/10.1515/lpts-2015-0023 | Journal eISSN: 2255-8896 | Journal ISSN: 0868-8257

Journal RSS Feed

Language: English

Page range: 57 - 68

Published on: Sep 25, 2015

Published by: Institute of Physical Energetics

In partnership with: Paradigm Publishing Services

Publication frequency: 6 issues per year

Keywords:

associated Legendre functions,

boundary problem,

effective permittivity,

Laplace’s equation,

toroidal coordinates

Related subjects:

Physics,

Technical and applied physics

© 2015 Y. A. Krasnitsky, A. E. Popov, A. Kalnacs, published by Institute of Physical Energetics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous article Volume 52 (2015): Issue 4 (August 2015)