Abstract
Interference of light is considered as a relation between three objects, two of them coherent light waves and the third the medium. A relation between three objects may be either associative or nonassociative. Interference of light interpreted within the framework of a nonassociative algebra is considered in the present work. Expressions describing the strength of the interference pattern and the associator are obtained. It is shown that the property of nonassociativity manifests itself when the internal structure of the medium is taken into account.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. L. Kantor and A. S. Solodovnikov, Hypercomplex Numbers [in Russian], Nauka, Moscow (1973); D. F. Kurdgelaidze, Izv. Vuzov. Fiz., No. 11, 22 (1986).
V. A. Zuykov, I. I. Popov, T. G. Mitrofanova, and V. V. Samartsev, Izv. Vuzov. Fiz., No. 7, 72 (1993).
I. L. Day, Novosti Fundamental'noi Nauki, No. 4 (Mir, Moscow, 1974); D. I. Zubarev and D. V. Sergeev, Novosti Fundamental'noi Nauki, No. 4, 168 (Mir, Moscow, 1974).
Additional information
Tbilissi State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 27–33, July, 1995.
Rights and permissions
About this article
Cite this article
Kurdgelaidze, D.F., Kurdgelaidze, D.D. Interference of light interpreted by means of a nonassociative algebra. Russ Phys J 38, 675–681 (1995). https://doi.org/10.1007/BF00560267
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00560267