Abstract

A designprocedure for an arbitrarily tapered multimode interference (MMI) coupler based on Si nanowaveguides is presented. First a series of the effective indices of the zeroth and first eigenmodes in multimode waveguides are obtained as the core width increases by using a full-vectorial finite-difference method. Two polynomial functions are used to fit the two relations between the effective indices and the core width. The phase difference Δφ between the zeroth and first eigenmodes can then be easily calculated when the light goes through any given arbitrarily tapered MMI section. By making the phase difference Δφ equal to a certain value Δφ0 required for an N-fold self-imaging, the length of a MMI coupler is determined. With the present designprocedure, an ultrashort 2×2 parabolic MMI coupler is designed as an example. The size of the designed ultrashort MMI section is only 1.4  μm×4 .7   μm.

© 2007 Optical Society of America

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