Generalized LP_1m modes in an optical fiber with constant radius of curvature

Abstract

Accurate forms for the generalized LP(1m) mode in a uniform circular-core curved fiber are given. We show that each generalized LP(1m) mode is composed of four linearly polarized partial fields. We also show that, when the propagation constants of HE(2m), TM(0m), and TE(0m) modes are degenerate, there are four linearly polarized modes for each generalized LP(1m) mode.