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How accurate is Comsol compared to FDTD

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Hi:
I am a comsol user. My supervisor asked me to re simulate a design that was done in FDTD using Comsol.
The problem I got is that my solution was not the same as the FDTD solution!!. I am sure I have no error but I have to check with you (comsol community) in case someone can help me figure out what is going on.
I solved for RF (MODE ANALYSIS) and the effective index I got was 3.81. However, the FDTD solution was 3.88.
The shape of the mode I got with Comsol is clearly different from the one done with FDTD.

Any help?. Should I give you the two files to see them?

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