<title>Theoretical analysis of the LP mode in e-core fiber</title>

Abstract

The LP mode in e-core fiber has been analyzed theoretically. It is found that the solution of the modal fields of e-core fiber is a combination of Mathieu and modified Mathieu functions. The modal eigenvalue equations are derived. The mode nondegeneracy and cutoff frequency are discussed. In addition to deriving a general expression for propagation constant, we have also obtained the propagation characteristics curves of several lower-order modes for different core ellipticities.