The optical propagation in linear tapered waveguides is studied using both the beam propagation method as a non-modal technique and for local normal mode analysis. The comparison between the results obtained by the two techniques gives a good physical understanding of the transient behaviour of the optical field in the taper, which enables the use of the taper as a collimating element in planar integrated optics. For experimental verification, tapered waveguides were formed by K + -Na + ion exchange in glass. A linear taper with an angle of 0.08 degrees has an output beam of 40 mu m width with a divergence angle of 1.13 degrees .
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Duport et al. (1992) studied this question.
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