The Generalization of the cosinus theorem and analytical calculation of multi-beam interference with an arbitrary phase distribution

  • Alexandra Glushchenko Volga State University of Telecommunications and Informatics
  • Alexander Glushchenko
  • Eugenia Glushchenko

Abstract

An important task of signal transmission systems is to calculate the result of the addition of oscillations analytically solved for two signals. In this paper, we obtained an analytical solution to the problem of calculating the result of adding an arbitrary number of unidirectional oscillations or signals. A formula is obtained for generalizing the cosine theorem for a triangle to the case of polygons of various configurations. Examples of calculating the parameters of polygons of various shapes are given.

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Published
2020-12-16
How to Cite
GLUSHCHENKO, Alexandra; GLUSHCHENKO, Alexander; GLUSHCHENKO, Eugenia. The Generalization of the cosinus theorem and analytical calculation of multi-beam interference with an arbitrary phase distribution. European Journal of Physics Education, [S.l.], v. 11, n. 3, p. 38-46, dec. 2020. ISSN 1309-7202. Available at: <http://eu-journal.org/index.php/EJPE/article/view/277>. Date accessed: 06 mar. 2021.
Section
Classroom Physics