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For planar tapers where there is negligible coupling between the different slab modes supported by the vertical waveguide structure (ex. SOI taper), the 2.5D variational FDTD solver can be used. For an example, see

 

 

 

For tapers where there is coupling between the different slab modes modes, or if the geometry is not planar (ex. tapered fiber), the eigenmode expansion (EME) solver should be used. For an example, see

 

 

 

 

 

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