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LOCAL CARDINAL INTERPOLATION SPLINE METHOD FOR SOLVING COUPLED NONLINEAR SCHRODINGER EQUATIONS: A COMPARISON WITH BPM

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Abstract

In terms of computational speed, BPM is faster than finite difference method by an order of magnitude or more to achieve a given accuracy[1,2]. However, it requires relatively small propagation steps and large computing window for artificial absorption on the boundary. A large transverse index change can also jeopardize the method. In solving coupled wave equations, BPM iterates between the equations until a converged solution is obtained. The total efficiency of this algorithm is greatly reduced.

© 1992 Optical Society of America

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