Electrodynamics basics and duality principle

Authors

  • A. M. Ivanitckiy Odessa National Academy of Telecommunications, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2013.6650701

Keywords:

classical electrodynamics, axiomatic construction principle, duality principle, Maxwell symmetric equations

Abstract

The given report proposes general and consistent statement of the classical electrodynamics basis using axiomatic and duality principles for its construct. Vector algebra and vector analysis are created by the application of the duality principle. The last fact allows formulating Maxwell equations in strictly symmetric form. It means the statement of electrodynamics postulates (axioms) under a principle of duality. Electrodynamics basis construction begins immediately using its postulates formulated for electromagnetic field arbitrary excitation.

References

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GILBERT, D. Geometry Fundamentals. Petrograd: Seyatel, 1923, 185 p. [in Russian].

NIKOLSKIY, V.V.; NIKOLSKAYA, T.I. Electrodynamics and Radio Waves Propagation, 3rd ed. Moscow: Nauka, 1989, 544 p. [in Russian].

ZOMMERFELD, A. Electrodynamics. Moscow: IL, 1958, 501 p. [in Russian].

IVANITCKIY, A. Duality principle in electrodynamics. Scientific Papers of UDAZ "O.S. Popov", 2000, n.3. p.29-35.

IVANITCKIY, A. Electrodynamics Basics and Duality Principle. Odessa: ONAS, 2012, 156 p. [in Russian].

ICATT 2013 cover

Published

2014-02-19

Issue

2013: ICATT’2013 - Proc. of IX Int. Conf. on Antenna Theory and Techniques

Section

General antenna theory