Corrections to “Analysis of First-Order Gratings in Silicon Photonic Waveguides”

We report errors in Table III of (Tan et al. 2022) that requires changing the text discussions in four places. These errors, due to using an incorrect thickness for the middle layer of a three-layer waveguide in an analytic formula (Huang et al., 2017), only applies to a single comparison of the analytic formula to other methods (slab effective index and Floquet Bloch) of calculating the grating coupling coefficient occurring in Table III. The corrected results show that the analytic formula has good agreement with both methods even for deep gratings.