The concept of dipole polarizability matrices for a system of wires is introduced that generalizes the wellknown concept of the dipole polarizability for a separate wire. Examples of calculations of the dipole polarizability matrices and variational estimates of these matrices are given.
Similar content being viewed by others
References
J. C. Maxwell, A Treatise on Electricity and Magnetism, Vol. 1 [Russian translation], Nauka, Moscow (1989).
G. Polya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics [Russian translation], Fizmatgiz, Moscow (1962).
V. P. Kazantsev, K. G. Okhotkin, Russ. Phys. J., No. 12, 1206–1215 (1998).
V. P. Kazantsev and E. A. Lysenko, Elektrichestvo, 10, 57 (1998).
V. P. Kazantsev, Sov. Phys. J., No. 8, 712–715 (1984).
L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).
V. P. Kazantsev, Radiutekh. Elektron., 46, 1 (2001).
V. P. Kazantsev and E. I. Kuklin, Radiotekh. Elektron., 35, 2498 (1989).
V. P. Kazantsev, Dokl. Ross. Akad. Nauk, 361, 499 (1998).
V. P. Kazantsev, Teoret. Matem. Ziz., 119, 441 (1999).
V. P. Kazantsev Dokl. Ross. Akad. Nauk, 380, 749 (2001).
V. P. Kazantsev, Russ. Phys. J., No. 7, 763–779 (2001).
V. P. Kazantsev, O. A. Zolotov, and M. V. Dolgopolova, Usp. Fiz. Nauk, 176, 537 (2006).
S. L. Sobolev, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).
V. P. Kazantsev, Analytical Electrostatics on a Plane. Part 2 [in Russian], Publishing House of Siberian Federal University, Krasnoyarsk (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 37–49, May, 2011.
Rights and permissions
About this article
Cite this article
Kazantsev, V.P., Dolgopolova, M.V. & Zolotov, O.A. Concept of dipole polarizability matrices for a system of wires and examples of their calculations and variational estimates. Russ Phys J 54, 548–562 (2011). https://doi.org/10.1007/s11182-011-9651-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-011-9651-y