A mathematical solution of the wave equation for coaxial fibers having four different refractive-index profiles is presented. The transcendental equations are obtained under LP approximation and calculated for comparison of HE(mn)-mode-dispersion characteristics. Attention is paid to the HE(11) and HE(12) modes because of their importance for modeling directional couplers, and calculations are carried out to obtain dispersion dependence on dimensional parameters of the fibers. The field expressions also are given, and the spatial distributions of the HE(11) and HE(12) modal fields of all coaxial structures for different conditions of propagation are calculated. (C) 1996 Optical Society of America [References: 15]
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