Abstract
This study demonstrated that two-step structuring of the waveguide thickness in a bent section significantly reduces bend-related inter-mode crosstalk, excess loss, and pure bending loss. A simple analytical formula was derived linking the thickness change required to compensate for bend-induced effects with geometrical parameters of the waveguide and bending radius. The effectiveness of the proposed approach was verified through rigorous numerical simulations of the loss and inter-mode crosstalk based on transformation optics formalism. The numerical results obtained for a ${\rm{Ti}}{{\rm{O}}_{{2}}}{\rm{:Si}}{{\rm{O}}_{{2}}}$ medium index contrast waveguide exhibited significant improvement of all relevant parameters for ${{\rm{TE}}_{{{00}}}}$ and ${{\rm{TE}}_{{{01}}}}$ modes.
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