Abstract
For the analysis of a $z$-variant optical waveguide with high-index contrast by the beam-propagation
method (BPM), the error often grows up during the propagation process. In
this paper, the formulation of the BPM is revisited, taking into account the
effects of the longitudinal field component. The improvement in accuracy is
demonstrated through the analysis of a vertically tapered rib waveguide. The
power expression based on the Poynting vector is also employed to improve
the power conservation property. As an application, the present technique
is applied to the design of a spot-size converter composed of a multicore
structure. It is numerically demonstrated that the use of a curvilinearly
tapered core leads to a conversion length of 570 $\mu{\rm m}$, which is 42% less than the
length of a linearly tapered core, with a coupling efficiency of 97% being
maintained at a wavelength of 1.55 $\mu{\rm
m}$.
© 2009 IEEE
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