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S. Ramo, John. Winner. Fields and Waves inmodernelectronics. OGIZ, 1948.

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Article

Physical Substantiation of Huygens Principle and the Reciprocity Theorem

1B.I. Verkin Institute for Low Temperature Physics and Engineering, NAS Ukraine, 47 Lenin Ave., Kharkov, Ukraine


American Journal of Electrical and Electronic Engineering. 2014, Vol. 2 No. 6, 165-170
DOI: 10.12691/ajeee-2-6-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
F. F. Mende. Physical Substantiation of Huygens Principle and the Reciprocity Theorem. American Journal of Electrical and Electronic Engineering. 2014; 2(6):165-170. doi: 10.12691/ajeee-2-6-2.

Correspondence to: F.  F. Mende, B.I. Verkin Institute for Low Temperature Physics and Engineering, NAS Ukraine, 47 Lenin Ave., Kharkov, Ukraine. Email: mende_fedor@mail.ru

Abstract

The Huygens principle says, that each element of wave front can be examined as the center of the second disturbance, which generates second spherical waves, and the resulting light field at each point of space will be determined by the interference of these waves. This principle is the basic postulate of geometric optics; however, it does not reveal physical nature of this phenomenon. Are examined the laws of the self-induction of such reactive elements as capacity and inductance, which made possible to base the physical bases of Huygens's principle. It is shown that with the connection to the sources of direct current and voltage they have the effective resistance, which depends on the time. Is examined the parametric self-induction of the elements indicated and it is shown that in the regime of parametric self-induction the capacity and inductance can not only derive energy from the power sources, but also return it into the external circuits. The new method of determining the velocity of propagation of constant stresses and currents in the long lines is developed. This task cannot be solved, using standard wave equations for the long lines. The physical special features of the work of the receiving directional Yagi antennas are examined and it is shown that the reciprocity theorem for such antennas is not carried out.

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