Abstract

The hyperbolic secant index distribution is known to be optimal for a two-dimensional waveguide, in the sense that all guided modes propagate at the same group velocity. We solve the three-dimensional wave equation for a slightly modified hyperbolic secant index profile. By calculating the propagation constants of the guided modes we can estimate the impulse response of the fiber. We show that in the hyperbolic secant fiber the effective pulse broadening is twelve times smaller than in the parabolic profile, and somewhat narrower than that produced by the optimal a-power profile.

© 1979 Optical Society of America

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