Abstract
An equation is derived for the trajectory of a light ray through a lenticular medium where the refractive index decreases with increasing distance from some line, but not according to the square law, and an approximate solution to this equation is found for the cases of constant curvature and oscillating curvature of that line.
Similar content being viewed by others
Literature cited
H.-G. Unger, Archiv Elektrischer Übertragung,19, 189 (1965).
N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Nauka (1969).
T. Hayasi, Nonlinear Oscillations in Physical Systems [Russian translation], Mir (1968).
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Izd. FM (1963).
V. V. Stepanov, Study Course in Differential Equations [in Russian], GITTL (1953).
J. Stocker, Nonlinear Oscillations in Mechanical and Electrical Systems [Russian translation], IL (1953).
Author information
Authors and Affiliations
Additional information
Translated from inzhenerno-Fizicheskii Zhurnal, Vol. 25, No. 4, pp. 725–729, October, 1973.
Rights and permissions
About this article
Cite this article
Martynenko, O.G., Muradyan, A.G., Baranov, A.A. et al. Propagation of a light ray through a continuous aberrational lenticular medium. Journal of Engineering Physics 25, 1311–1314 (1973). https://doi.org/10.1007/BF00834778
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00834778