Hi jianke,
Thanks for the info. It really looks like that second mode is nothing but a surface wave mode excited by the waveport. The question you need to ask is: how likely is it that you will excite this mode? This will depend on how you are exciting the mictrostrip mode. Is it with an SMA connector? If this is the case, I would recommend setting up a simulation with a coaxial feed and exciting the coax mode on the connector.
As for your original documents, they seem to suggest that the the micropstripline mode will have a slightly different profile depending on the size of the waveport. Again, you can resolve this issue by properly simulating the resilistic excitation - i.e., the SMA connector or whatever you're going to be using.
So in summary, I think if you look at modelling your excitation source more realistically, you should be able to resolve your problem.
Good Luck