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Experimental test on the applicability of the standard retardation condition to bound magnetic fields

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2007-01-15
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American Institute of Physics
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We start with the fact that the actual consensus on the empirical verification of the standard retardation condition does not take into account the complex structure of the whole electromagnetic field in the near zone. The most rigorous and methodologically consistent way to the empirical test of the causal behavior of the whole EM field should be based on testing causal properties for each component-velocity dependent (bound) and acceleration dependent (radiation)-taken separately. Preliminary discussions on the relative contribution of bound and radiation terms for an idealized magnetic dipole provided us with a methodological approach to causal characteristics of bound fields. In view of practical implementation of this method, we made an analysis of the finite size loop antennas. The use of multisection loop antennas was fully justified by a substantial rise of the ratio of bound-to-radiation field strength. Finally, we effected numerical calculations, taking into account particular experimental settings. Comparison with the experimentally obtained data showed considerable discrepancy with the predictions of the standard electromagnetic theory. A possible interpretation in terms of nonlocal properties of bound fields in near zone is proposed.
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The authors thank Dr. V. Onoochin (Moscow, Russia) and Dr. I. Moreno (Zacatecas, Mexico) for valuable discussions and J.A. Santamaria-Rueda (Moscow, Russia) for financial support which was a crucial result in the realization of this project.
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J.D.Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975). L.D.Landau and E.M.Lifshitz, The Classical Theory of Fields (Addison-Wesley, Cambridge, MA, 1951). H. Hertz, in Electric Waves,Collection of Scientific Papers (Dover, New York, 1962), p. 108. O. D. Jefimenko, Electricity and Magnetism: An Introduction to the Theory of Electric and Magnetic Fields, 2nd ed. (Electret Scientific Co., Star City, WV, 1989). W.G.V.Rosser, Interpretation of Classical Electromagnetism, Fundamental Theories of Physics, edited by A. Van der Merwe (Kluwer Academic, Dordrecht, 1997), Vol. 78. J. A. Stratton,Electromagnetic Theory(McGraw-Hill, New York, 1941). H.Knöpfel,Pulsed High Magnetic Fields(North-Holland, Amsterdam,1970).
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