The single mode condition for a rib waveguide with large cross section based on silicon-on-insulator (SOI) is determined through the eigenmode analysis by finite element method (FEM). The mathematic model of waveguide coupler based SOI rib waveguide is established
and the relationships among coupling length
power coupling coefficient
waveguide dimension and separation are calculated and analyzed under the condition of single mode operation. The simulation results indicate that coupling length
L
c
increases and power coupling coefficient decreases with increasing the waveguide separation for a SOI rib waveguide with
W
=1 m and
H
=2 m. Furthermore
Coupling length
L
c
increases with increasing the normalized height (
r
) of rib waveguide when
d
<0.8 m
but it decreases with increasing
r
under the condition of
d
>0.8 m. The simulation results provide a guideline for the design and application of SOI-based microring resonator.
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references
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Pool J K S, Scheuer J, Mookherjea S, et al. Matrix analysis of microring coupled-resonator optical waveguides
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Griffel G. Synthesis of optical filters using ring resonator arrays