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\caption{\label{tab:mzi} MZI design parameters.}  \end{table}     A MZI device is comprised of two Y-branches, and waveguide segments either straight or with bends at certain radius. To input light and get the output response fiber Fiber  grating couplers at specified polarizations (e.g. TE r TM)  are going to be used  also used. in this design. Couplers allow to input light into the devices and captured light using optical fibers.  In this section, two types of simulations are presented. First a component simulation using Lumerical's MODE to obtain the mode profile, effective and group indices index  for straight and bent waveguides are presented. From those simulations mathematical models for waveguide dispersion are obtained. The second type of simulation is related to the MZI device. For that, we use Lumerical's Interconnect. The MZI devices will incorporate circuit models for the straight and bend waveguides, and the provided S-parameter models for the Y-branch and the fiber grating couplers.