Abstract

Using the Ritz method and the reference solution of the scalar wave equation for the infinitely extended parabolic-index profile (Laguerre-Gaussian functions), we calculate the field distributions and propagation constants for weakly guiding fibers having arbitrary circularly symmetric index profiles. We show that the solution reduces to a homogeneous real-symmetric matrix-eigenvalue problem, whose eigenvalues give the propagation constant of the desired mode. We present results for infinitely extended α profiles, for a parabolic profile with uniform cladding, and for a parabolic profile with an axial symmetric dip or hump.

© 1982 Optical Society of America

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