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Efficient solution of Maxwell's equations for optical fibers with arbitrary refractive-index profiles

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Abstract

A straightforward method of solving vectorial wave equations in terms of electric fields for cylindrically symmetrical optical fibers is described. Input profiles are modeled by functions with continuous derivatives, so all fields are continuous. To iterate propagation constants, a generalized secant method is used. Numerical integrations are performed with a published fortran code based on a fourth/fifth-order Runge–Kutta method. Techniques that help to make calculations efficient are presented. By using an IBM personal computer, propagation constants of actual single-mode fibers are found with 11-digit computational accuracy in 2 min each. Finally, the scalar wave equation is also solved efficiently.

© 1987 Optical Society of America

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