Some aspects of theoretical analysis of the light propagation in an elliptical optical fiber

Abstract

The paper presents the results of theoretical analysis of the propagation of the electromagnetic field in optical fiber with an elliptic core. Due to the elliptic symmetry of the core the analysis had to be carried out in an elliptic coordinate system. This analysis has shown that the functions describing the z-component of the electric field satisfy the Mathieu equations. The presented results of the theoretical analysis are original and have not published so for.